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232131242131232 = 2517426711842153
BaseRepresentation
bin110100110001111101000100…
…001110100111111100100000
31010102220112022101101201100212
4310301331010032213330200
5220411214240441144412
62141411342004033252
766615633402150233
oct6461750416477440
91112815271351325
10232131242131232
1167a67341596954
122205070b392828
139c6ab612900c2
1441472d7ca541a
151bc83edc68222
hexd31f443a7f20

232131242131232 has 24 divisors (see below), whose sum is σ = 483891229002636. Its totient is φ = 109238231590912.

The previous prime is 232131242131109. The next prime is 232131242131291.

232131242131232 is nontrivially palindromic in base 10.

232131242131232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 211716351826576 + 20414890304656 = 14550476^2 + 4518284^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213355920533 + ... + 213355921620.

Almost surely, 2232131242131232 is an apocalyptic number.

It is an amenable number.

232131242131232 is an abundant number, since it is smaller than the sum of its proper divisors (251759986871404).

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

232131242131232 is a wasteful number, since it uses less digits than its factorization.

232131242131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426711842180 (or 426711842172 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 232131242131232 in words is "two hundred thirty-two trillion, one hundred thirty-one billion, two hundred forty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 426711842153 853423684306 1706847368612 3413694737224 6827389474448 7254101316601 13654778948896 14508202633202 29016405266404 58032810532808 116065621065616 232131242131232