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230112222211032 = 23371369715608399
BaseRepresentation
bin110100010100100100101101…
…010000110110101111011000
31010011202111212102012210212220
4310110210231100312233120
5220130124312341223112
62133224032344104040
766320026245041610
oct6424445520665730
91104674772183786
10230112222211032
1167359055474557
1221985359765020
139b526494052a5
1440b76c3373a40
151b90b310b898c
hexd1492d436bd8

230112222211032 has 32 divisors (see below), whose sum is σ = 657463492032000. Its totient is φ = 65746349203104.

The previous prime is 230112222210989. The next prime is 230112222211057.

230112222211032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230112222210993 and 230112222211011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684857804032 + ... + 684857804367.

It is an arithmetic number, because the mean of its divisors is an integer number (20545734126000).

Almost surely, 2230112222211032 is an apocalyptic number.

It is an amenable number.

230112222211032 is an abundant number, since it is smaller than the sum of its proper divisors (427351269820968).

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

230112222211032 is a wasteful number, since it uses less digits than its factorization.

230112222211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369715608415 (or 1369715608411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 230112222211032 in words is "two hundred thirty trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1369715608399 2739431216798 4109146825197 5478862433596 8218293650394 9588009258793 10957724867192 16436587300788 19176018517586 28764027776379 32873174601576 38352037035172 57528055552758 76704074070344 115056111105516 230112222211032