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102213131233122 = 23271395876508937
BaseRepresentation
bin10111001111011001011001…
…011000001110011101100010
3111101220110221212011211012200
4113033121121120032131202
5101344124443043424442
61001220021513434030
730346440451216650
oct2717313130163542
9441813855154180
10102213131233122
112a628388987a38
12b56970aa0b916
134505870328cc0
141b351db70ddd0
15bc3be894734c
hex5cf65960e762

102213131233122 has 96 divisors (see below), whose sum is σ = 272596822872192. Its totient is φ = 26954493334272.

The previous prime is 102213131233121. The next prime is 102213131233141. The reversal of 102213131233122 is 221332131312201.

102213131233122 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 31 + 312 + 3 + 312 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (102213131233121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12449038 + ... + 18957974.

It is an arithmetic number, because the mean of its divisors is an integer number (2839550238252).

Almost surely, 2102213131233122 is an apocalyptic number.

102213131233122 is an abundant number, since it is smaller than the sum of its proper divisors (170383691639070).

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

102213131233122 is a wasteful number, since it uses less digits than its factorization.

102213131233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518552 (or 6518549 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102213131233122 its reverse (221332131312201), we get a palindrome (323545262545323).

The spelling of 102213131233122 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 9587 19174 28761 57522 67109 86283 124631 134218 172566 201327 249262 373893 402654 603981 747786 872417 1121679 1207962 1744834 2243358 2617251 5234502 6508937 7851753 13017874 15703506 19526811 39053622 45562559 58580433 84616181 91125118 117160866 136687677 169232362 253848543 273375354 410063031 507697086 592313267 761545629 820126062 1184626534 1523091258 1776939801 3553879602 5330819403 10661638806 62401179019 124802358038 187203537057 374407074114 436808253133 561610611171 811215327247 873616506266 1123221222342 1310424759399 1622430654494 2433645981741 2620849518798 3931274278197 4867291963482 5678507290729 7300937945223 7862548556394 11357014581458 14601875890446 17035521872187 34071043744374 51106565616561 102213131233122