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13012131312 = 243290362023
BaseRepresentation
bin11000001111001010…
…10101110111110000
31020120211121202111100
430013211111313300
5203122101200222
65551103044400
7640311201615
oct140745256760
936524552440
1013012131312
115578010934
1226318a0700
1312c4a5b6ab
148b620650c
1551254b4ac
hex307955df0

13012131312 has 30 divisors (see below), whose sum is σ = 36415895672. Its totient is φ = 4337377056.

The previous prime is 13012131311. The next prime is 13012131371. The reversal of 13012131312 is 21313121031.

13012131312 is a `hidden beast` number, since 1 + 301 + 21 + 31 + 312 = 666.

It is a super-2 number, since 2×130121313122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012131311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45180868 + ... + 45181155.

Almost surely, 213012131312 is an apocalyptic number.

13012131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13012131312 is an abundant number, since it is smaller than the sum of its proper divisors (23403764360).

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

13012131312 is a wasteful number, since it uses less digits than its factorization.

13012131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90362037 (or 90362028 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13012131312 its reverse (21313121031), we get a palindrome (34325252343).

The spelling of 13012131312 in words is "thirteen billion, twelve million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 90362023 180724046 271086069 361448092 542172138 722896184 813258207 1084344276 1445792368 1626516414 2168688552 3253032828 4337377104 6506065656 13012131312