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100210010221110 = 235181251709103703
BaseRepresentation
bin10110110010001111110110…
…000011111110101000110110
3111010210222112220121010122010
4112302033312003332220312
5101113320100104033420
6553043502042345050
730051635320441326
oct2662176603765066
9433728486533563
10100210010221110
1129a25910333689
12b2a54557bb186
1343bb9c02c097a
141aa6294557286
15b8ba5b9704e0
hex5b23f60fea36

100210010221110 has 128 divisors (see below), whose sum is σ = 243141046686720. Its totient is φ = 26431565760000.

The previous prime is 100210010221109. The next prime is 100210010221159. The reversal of 100210010221110 is 11122010012001.

It is a super-2 number, since 2×1002100102211102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966265519 + ... + 966369221.

It is an arithmetic number, because the mean of its divisors is an integer number (1899539427240).

Almost surely, 2100210010221110 is an apocalyptic number.

100210010221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210010221110 is an abundant number, since it is smaller than the sum of its proper divisors (142931036465610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100210010221110 is a wasteful number, since it uses less digits than its factorization.

100210010221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104854.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210010221110 its reverse (11122010012001), we get a palindrome (111332020233111).

The spelling of 100210010221110 in words is "one hundred trillion, two hundred ten billion, ten million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 181 251 362 502 543 709 753 905 1086 1255 1418 1506 1810 2127 2510 2715 3545 3765 4254 5430 7090 7530 10635 21270 45431 90862 103703 128329 136293 177959 207406 227155 256658 272586 311109 355918 384987 454310 518515 533877 622218 641645 681465 769974 889795 1037030 1067754 1283290 1362930 1555545 1779590 1924935 2669385 3111090 3849870 5338770 18770243 26029453 32210579 37540486 52058906 56310729 64421158 73525427 78088359 93851215 96631737 112621458 130147265 147050854 156176718 161052895 187702430 193263474 220576281 260294530 281553645 322105790 367627135 390441795 441152562 483158685 563107290 735254270 780883590 966317370 1102881405 2205762810 4711330993 9422661986 13308102287 14133992979 18454882177 23556654965 26616204574 28267985958 36909764354 39924306861 47113309930 55364646531 66540511435 70669964895 79848613722 92274410885 110729293062 133081022870 141339929790 184548821770 199621534305 276823232655 399243068610 553646465310 3340333674037 6680667348074 10021001022111 16701668370185 20042002044222 33403336740370 50105005110555 100210010221110