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232013232203031 = 3231966018608489
BaseRepresentation
bin110100110000001111001010…
…010010011110010100010111
31010102111020201001220020011100
4310300033022102132110113
5220402301044420444111
62141241224001441143
766604255116256356
oct6460171222362427
91112436631806140
10232013232203031
1167a21294008174
12220318760401b3
139c5c9a5485116
144141700d9199d
151bc52e3863756
hexd303ca49e517

232013232203031 has 24 divisors (see below), whose sum is σ = 345944498007680. Its totient is φ = 149684389344000.

The previous prime is 232013232203029. The next prime is 232013232203041. The reversal of 232013232203031 is 130302232310232.

232013232203031 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 32 + 322 + 0 + 303 + 1 = 666.

It is not a de Polignac number, because 232013232203031 - 21 = 232013232203029 is a prime.

It is a super-2 number, since 2×2320132322030312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232013232202986 and 232013232203004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232013232203041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22647435 + ... + 31255923.

Almost surely, 2232013232203031 is an apocalyptic number.

232013232203031 is a deficient number, since it is larger than the sum of its proper divisors (113931265804649).

232013232203031 is a wasteful number, since it uses less digits than its factorization.

232013232203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705127 (or 8705124 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232013232203031 its reverse (130302232310232), we get a palindrome (362315464513263).

The spelling of 232013232203031 in words is "two hundred thirty-two trillion, thirteen billion, two hundred thirty-two million, two hundred three thousand, thirty-one".

Divisors: 1 3 9 31 93 279 96601 289803 869409 2994631 8608489 8983893 25825467 26951679 77476401 266863159 800589477 2401768431 831588645889 2494765937667 7484297813001 25779248022559 77337744067677 232013232203031