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232205041212131 = 1326156939586111
BaseRepresentation
bin110100110011000001110010…
…111111110001101011100011
31010110011120210120101110111102
4310303001302333301223203
5220413421411022242011
62141505305010305015
766624155250040421
oct6463016277615343
91113146716343442
10232205041212131
1167a956722116a9
1222062a8658816b
139c74ac280c700
14414aad9290111
151bca2bcb6273b
hexd33072ff1ae3

232205041212131 has 24 divisors (see below), whose sum is σ = 256012095248640. Its totient is φ = 210458762092800.

The previous prime is 232205041212047. The next prime is 232205041212149. The reversal of 232205041212131 is 131212140502232.

It is a de Polignac number, because none of the positive numbers 2k-232205041212131 is a prime.

It is a super-2 number, since 2×2322050412121312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232205041212094 and 232205041212103.

It is not an unprimeable number, because it can be changed into a prime (232205041112131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13927235 + ... + 25658876.

It is an arithmetic number, because the mean of its divisors is an integer number (10667170635360).

Almost surely, 2232205041212131 is an apocalyptic number.

232205041212131 is a deficient number, since it is larger than the sum of its proper divisors (23807054036509).

232205041212131 is a wasteful number, since it uses less digits than its factorization.

232205041212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39586767 (or 39586754 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 232205041212131 its reverse (131212140502232), we get a palindrome (363417181714363).

The spelling of 232205041212131 in words is "two hundred thirty-two trillion, two hundred five billion, forty-one million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 61 169 569 793 7397 10309 34709 96161 451217 5865821 39586111 514619443 2414752771 6690052759 22524497159 31391786023 292818463067 408093218299 1373994326699 3806640019871 17861926247087 232205041212131