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13120868538 = 2331631490669
BaseRepresentation
bin11000011100001000…
…01001000010111010
31020212102020011221000
430032010021002322
5203332420243123
610005545425430
7643101354021
oct141604110272
936772204830
1013120868538
11562342a808
12266219b276
13131144104b
148c682d8b8
1551bd79b43
hex30e1090ba

13120868538 has 32 divisors (see below), whose sum is σ = 29336385600. Its totient is φ = 4346787888.

The previous prime is 13120868507. The next prime is 13120868539. The reversal of 13120868538 is 83586802131.

13120868538 is a `hidden beast` number, since 1 + 31 + 2 + 0 + 86 + 8 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13120868493 and 13120868502.

It is not an unprimeable number, because it can be changed into a prime (13120868539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736533 + ... + 754136.

It is an arithmetic number, because the mean of its divisors is an integer number (916762050).

Almost surely, 213120868538 is an apocalyptic number.

13120868538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13120868538 is an abundant number, since it is smaller than the sum of its proper divisors (16215517062).

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

13120868538 is a wasteful number, since it uses less digits than its factorization.

13120868538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490843 (or 1490837 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13120868538 in words is "thirteen billion, one hundred twenty million, eight hundred sixty-eight thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 163 326 489 978 1467 2934 4401 8802 1490669 2981338 4472007 8944014 13416021 26832042 40248063 80496126 242979047 485958094 728937141 1457874282 2186811423 4373622846 6560434269 13120868538