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102222131211031 = 13127255724214033
BaseRepresentation
bin10111001111100001110001…
…110100011010101100010111
3111101221100012002020001220211
4113033201301310122230113
5101344301411042223111
61001224110534310251
730350206463606416
oct2717416164325427
9441840162201824
10102222131211031
112a631187163607
12b56b400ab8387
134506675a9c210
141b35812b1b47d
15bc4073b1c521
hex5cf871d1ab17

102222131211031 has 16 divisors (see below), whose sum is σ = 110995582157824. Its totient is φ = 93579291477504.

The previous prime is 102222131211001. The next prime is 102222131211049. The reversal of 102222131211031 is 130112131222201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102222131211031 - 211 = 102222131208983 is a prime.

It is a super-2 number, since 2×1022221312110312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102222131210993 and 102222131211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222131211001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7885410 + ... + 16328623.

It is an arithmetic number, because the mean of its divisors is an integer number (6937223884864).

Almost surely, 2102222131211031 is an apocalyptic number.

102222131211031 is a deficient number, since it is larger than the sum of its proper divisors (8773450946793).

102222131211031 is a wasteful number, since it uses less digits than its factorization.

102222131211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24216730.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102222131211031 its reverse (130112131222201), we get a palindrome (232334262433232).

The spelling of 102222131211031 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thirty-one million, two hundred eleven thousand, thirty-one".

Divisors: 1 13 127 1651 2557 33241 324739 4221607 24214033 314782429 3075182191 39977368483 61915282381 804898670953 7863240862387 102222131211031