維基百科

100000000

自然数

100,000,000 （一億）是99,999,999和100,000,001之間的自然數。

100000000
100000000
數表 — 整數

<<   100‍  101‍  102‍  103‍  104‍  105‍  106‍  107‍  108‍  109‍ >>
10000000 100000000 1000000000

命名
小寫一億
大寫壹億
序數詞第一億
one hundred millionth
識別
種類整數
性質
質因數分解
表示方式
值100000000
算籌
希臘數字
羅馬數字
二進制101111101011110000100000000(2)
三進制20222011112012201(3)
四進制11331132010000(4)
五進制201100000000(5)
八進制575360400(8)
十二進制295A6454(12)
十六進制5F5E100(16)

用科學記數法寫成 108 。

東亞語言將「億」作為一個計數單位，相當另一個計數單位「萬」的平方。在韓文和日文中分別為 eok ( 억/億) 和oku (億）。

100,000,000是100的四次方，也是10000的平方。

值得注意的 9 位數字 (100,000,001–999,999,999)

100,000,001 至 199,999,999

  • 100,000,007 = 最小的九位素數[1]
  • 100,005,153 = 最小的 9 位三角數和第 14,142 個三角數
  • 100,020,001 = 100012, 回文平方
  • 100,544,625 = 4653 ，最小的9位立方
  • 102,030,201 = 101012，回文平方
  • 102,334,155 = 斐波那契數
  • 102,400,000 = 405
  • 104,060,401 = 102012 = 1014 ，回文平方
  • 105,413,504 = 147
  • 107,890,609 = 韋德伯恩-埃瑟林頓數[2]
  • 111,111,111 = 循環單位, 12345678987654321 的平方根
  • 111,111,113 = 陳素數、蘇菲傑曼素數、表弟素數。
  • 113,379,904 = 106482 = 4843 = 226
  • 115,856,201 = 415
  • 119,481,296 = 對數[3]
  • 121,242,121 = 110112, 回文平方
  • 123,454,321 = 111112, 回文平方
  • 123,456,789 = 最小無零基 10 泛數字
  • 125,686,521 = 112112, 回文平方
  • 126,390,032 = 補數相等的 34 珠項鍊數量（允許翻轉） [4]
  • 126,491,971 = 萊昂納多素數
  • 129,140,163 = 317
  • 129,145,076 = 利蘭數
  • 129,644,790 = 加泰羅尼亞號碼[5]
  • 130,150,588 = 33 珠二元項鍊的數量，有 2 種顏色的珠子，顏色可以互換，但不允許翻轉[6]
  • 130,691,232 = 425
  • 134,217,728 = 5123 = 89 = 227
  • 134,218,457 = 利蘭數
  • 136,048,896 = 116642 = 1084
  • 139,854,276 = 118262 ，最小無零底數 10 泛數字平方
  • 142,547,559 = 莫茨金數[7]
  • 147,008,443 = 435
  • 148,035,889 = 121672 = 5293 = 236
  • 157,115,917 – 24 個單元的平行四邊形多格骨牌的數量。 [8]
  • 157,351,936 = 125442 = 1124
  • 164,916,224 = 445
  • 165,580,141 = 斐波那契數
  • 167,444,795 = 6 進制下的循環數
  • 170,859,375 = 157
  • 171,794,492 = 具有 36 個節點的縮減樹的數量[9]
  • 177,264,449 = 利蘭數
  • 179,424,673 = 第 10,000,000 個質數
  • 184,528,125 = 455
  • 188,378,402 = 劃分{1,2,...,11}然後將每個單元（塊）劃分為子單元的方式數。 [10]
  • 190,899,322 = 貝爾數[11]
  • 191,102,976 = 138242 = 5763 = 246
  • 192,622,052 = 自由 18 格骨牌的數量
  • 199,960,004 = 邊長為 9999 的四面體的表面點數[12]

200,000,000 至 299,999,999

  • 200,000,002 = 邊長為 10000 的四面體的表面點數[12]
  • 205,962,976 = 465
  • 210,295,326 = Fine's number
  • 211,016,256 = GF(2) 上的 33 次本原多項式的數量[13]
  • 212,890,625 = 1-自守數[14]
  • 214,358,881 = 146412 = 1214 = 118
  • 222,222,222 = 純位數
  • 222,222,227 = 安全素數
  • 223,092,870 = 前九個素數的乘積，即第九個素數
  • 225,058,681 = 佩爾數[15]
  • 225,331,713 = 以 9 為基數的自描述數字
  • 229,345,007 = 475
  • 232,792,560 = 高級高合數； [16]可羅薩里過剩數； [17]可被 1 到 22 所有數字整除的最小數字
  • 244,140,625 = 156252 = 1253 = 256 = 512
  • 244,389,457 = 利蘭數
  • 244,330,711 = n 使得 n | (3n + 5)
  • 245,492,244 = 補數相等的 35 珠項鍊數量（允許翻轉） [4]
  • 252,648,992 = 34 珠二元項鍊的數量，有 2 種顏色的珠子，顏色可以互換，但不允許翻轉[6]
  • 253,450,711 = 韋德伯恩-埃瑟林頓素數[2]
  • 254,803,968 = 485
  • 267,914,296 = 斐波那契數
  • 268,435,456 = 163842 = 1284 = 167 = 414 = 228
  • 268,436,240 = 利蘭數
  • 268,473,872 = 利蘭數
  • 272,400,600 = 通過 20 所需的調和級數的項數
  • 275,305,224 = 5 階幻方的數量，不包括旋轉和反射
  • 282,475,249 = 168072 = 495 = 710
  • 292,475,249 = 利蘭數

300,000,000 至 399,999,999

  • 308,915,776 = 175762 = 6763 = 266
  • 312,500,000 = 505
  • 321,534,781 = 馬爾可夫素數
  • 331,160,281 = 萊昂納多素數
  • 333,333,333 = 純位數
  • 336,849,900 = GF(2) 上的 34 次本原多項式的數量[13]
  • 345,025,251 = 515
  • 350,238,175 = 具有 37 個節點的縮減樹的數量[9]
  • 362,802,072 = 25 個單元的平行四邊形多格骨牌數量[8]
  • 364,568,617 = 利蘭數
  • 365,496,202 = n 使得 n | (3n + 5)
  • 367,567,200 = 可羅薩里過剩數，Superior highly composite number（英語：Superior highly composite number）
  • 380,204,032 = 525
  • 381,654,729 = 唯一累進可除數，同時也是無零泛泛位數
  • 387,420,489 = 196832 = 7293 = 276 = 99 = 318，迭代冪次表示為 29
  • 387,426,321 = 利蘭數

400,000,000 至 499,999,999

  • 400,080,004 = 200022, 回文平方
  • 400,763,223 = 莫茨金數[7]
  • 404,090,404 = 201022, 回文平方
  • 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
  • 410,338,673 = 177
  • 418,195,493 = 535
  • 429,981,696 = 207362 = 1444 = 128 = 100,000,000 12又名gross-great-great-gross (100 12 Great-great-grosses)
  • 433,494,437 = 斐波那契素數、馬爾可夫素數
  • 442,386,619 = 交替階乘[18]
  • 444,101,658 = 具有 27 個節點的（無序、無標籤）有根修剪樹的數量[19]
  • 444,444,444 = 純位數
  • 455,052,511 = 10以下的素數個數10
  • 459,165,024 = 545
  • 467,871,369 = 14 個頂點上的無三角形圖的數量[20]
  • 477,353,376 = 補數相等的 36 珠項鍊數量（允許翻轉） [4]
  • 477,638,700 = 加泰羅尼亞號碼[5]
  • 479,001,599 = 階乘質數[21]
  • 479,001,600 = 12！
  • 481,890,304 = 219522 = 7843 = 286
  • 490,853,416 = 35 珠二元項鍊的數量，有 2 種顏色的珠子，顏色可以交換，但不允許翻轉[6]
  • 499,999,751 = 蘇菲·傑曼素數

500,000,000 至 599,999,999

  • 503,284,375 = 555
  • 522,808,225 = 228652, 回文平方
  • 535,828,591 = 萊昂納多素數
  • 536,870,911 = 第三個具有質數指數的複合梅森數
  • 536,870,912 = 229
  • 536,871,753 = 利蘭數
  • 542,474,231 = k 使得前 k 個素數的平方和可被 k 整除。 [22]
  • 543,339,720 = 佩爾號[15]
  • 550,731,776 = 565
  • 554,999,445 = 以 10 為基數表示數字長度 9 的Kaprekar 常數
  • 555,555,555 = 純位數
  • 574,304,985 = 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99 [23]
  • 575,023,344 = xx 在 x=1 處的 14 階導數[24]
  • 594,823,321 = 243892 = 8413 = 296
  • 596,572,387 = 韋德本-埃瑟林頓素數[2]

600,000,000 至 699,999,999

  • 601,692,057 = 575
  • 612,220,032 = 187
  • 617,323,716 = 248462, 回文平方
  • 635,318,657 = 歐拉知道的兩個四次方以兩種不同方式相加的最小數 ( 594 + 1584 = 1334 + 1344 )。
  • 644,972,544 = 8643, 3-平滑數
  • 656,356,768 = 585
  • 666,666,666 = 純位數
  • 670,617,279 = Collatz 猜想的 109以下的最高停止時間整數

700,000,000 至 799,999,999

  • 701,408,733 = 斐波那契數
  • 714,924,299 = 595
  • 715,497,037 = 具有 38 個節點的縮減樹的數量[9]
  • 715,827,883 =瓦格斯塔夫素數， [25]雅各布斯塔爾素數
  • 725,594,112 = GF(2) 上的 36 次本原多項式的數量[13]
  • 729,000,000 = 270002 = 9003 = 306
  • 742,624,232 = 免費 19 聯骨牌數量
  • 774,840,978 = 利蘭數
  • 777,600,000 = 605
  • 777,777,777 = 純位數
  • 778,483,932 = Fine Number
  • 780,291,637 = 馬爾可夫素數
  • 787,109,376 = 1-自守數[14]

800,000,000 至 899,999,999

  • 815,730,721 = 138
  • 815,730,721 = 1694
  • 835,210,000 = 1704
  • 837,759,792 = 26 個單元的平行四邊形多骨牌數量。 [8]
  • 844,596,301 = 615
  • 855,036,081 = 1714
  • 875,213,056 = 1724
  • 887,503,681 = 316
  • 888,888,888 = 純位數
  • 893,554,688 = 2-自守數[26]
  • 893,871,739 = 197
  • 895,745,041 = 1734

900,000,000 至 999,999,999

  • 906,150,257 = 波利亞猜想的最小反例
  • 916,132,832 = 625
  • 923,187,456 = 303842 ，最大的無零泛數字平方
  • 928,772,650 = 補數相等的 37 珠項鍊數量（允許翻轉） [4]
  • 929,275,200 = GF(2) 上的 35 次本原多項式的數量[13]
  • 942,060,249 = 306932，回文平方
  • 987,654,321 = 最大的無零泛數字
  • 992,436,543 = 635
  • 997,002,999 = 9993 ，最大的9位立方
  • 999,950,884 = 316222 ，最大的九位數平方
  • 999,961,560 = 最大的 9 位數三角數和第 44,720 個三角數
  • 999,999,937 = 最大的 9 位質數
  • 999,999,999 = 純位數

參考

  1. ^ Sloane, N.J.A. (編). Sequence A003617 (Smallest n-digit prime). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [7 September 2017]. 
  2. ^ 2.0 2.1 2.2 Sloane, N.J.A. (編). Sequence A001190 (Wedderburn-Etherington numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  3. ^ Sloane, N.J.A. (編). Sequence A002104 (Logarithmic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  4. ^ 4.0 4.1 4.2 4.3 Sloane, N.J.A. (編). Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  5. ^ 5.0 5.1 Sloane, N.J.A. (編). Sequence A000108 (Catalan numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  6. ^ 6.0 6.1 6.2 Sloane, N.J.A. (編). Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  7. ^ 7.0 7.1 Sloane, N.J.A. (編). Sequence A001006 (Motzkin numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  8. ^ 8.0 8.1 8.2 Sloane, N.J.A. (編). Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  9. ^ 9.0 9.1 9.2 Sloane, N.J.A. (編). Sequence A000014 (Number of series-reduced trees with n nodes). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  10. ^ Sloane, N.J.A. (編). Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  11. ^ Sloane's A000110 : Bell or exponential numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2019-08-30）. 
  12. ^ 12.0 12.1 Sloane, N.J.A. (編). Sequence A005893 (Number of points on surface of tetrahedron). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  13. ^ 13.0 13.1 13.2 13.3 Sloane, N.J.A. (編). Sequence A011260 (Number of primitive polynomials of degree n over GF(2)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  14. ^ 14.0 14.1 Sloane, N.J.A. (編). Sequence A003226 (Automorphic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-04-06.
  15. ^ 15.0 15.1 Sloane, N.J.A. (編). Sequence A000129 (Pell numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  16. ^ Sloane's A002201 : Superior highly composite numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2010-12-29）. 
  17. ^ Sloane's A004490 : Colossally abundant numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2012-05-25）. 
  18. ^ Sloane's A005165 : Alternating factorials. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2012-10-09）. 
  19. ^ Sloane, N.J.A. (編). Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  20. ^ Sloane, N.J.A. (編). Sequence A006785 (Number of triangle-free graphs on n vertices). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  21. ^ Sloane's A088054 : Factorial primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2020-10-03）. 
  22. ^ Sloane, N.J.A. (編). Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2022-06-02]. 
  23. ^ Sloane, N.J.A. (編). Sequence A031971. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  24. ^ Sloane, N.J.A. (編). Sequence A005727. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  25. ^ Sloane's A000979 : Wagstaff primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. （原始內容存檔於2010-11-25）. 
  26. ^ Sloane, N.J.A. (編). Sequence A030984 (2-automorphic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2021-09-01]. 
取自「https://zh.wikipedia.org/w/index.php?title=100000000&oldid=79664243」