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13012243431 = 3114153181459
BaseRepresentation
bin11000001111001011…
…10001001111100111
31020120211211110021220
430013211301033213
5203122113242211
65551105311423
7640312146525
oct140745611747
936524743256
1013012243431
1155780880a0
122631935573
1312c4a9a735
148b6235315
1551256e806
hex3079713e7

13012243431 has 32 divisors (see below), whose sum is σ = 19754461440. Its totient is φ = 7548652800.

The previous prime is 13012243427. The next prime is 13012243451. The reversal of 13012243431 is 13434221031.

It is a happy number.

It is not a de Polignac number, because 13012243431 - 22 = 13012243427 is a prime.

It is a super-2 number, since 2×130122434312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012243451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19021 + ... + 162438.

It is an arithmetic number, because the mean of its divisors is an integer number (617326920).

Almost surely, 213012243431 is an apocalyptic number.

13012243431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13012243431 is a deficient number, since it is larger than the sum of its proper divisors (6742218009).

13012243431 is a wasteful number, since it uses less digits than its factorization.

13012243431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181567.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13012243431 its reverse (13434221031), we get a palindrome (26446464462).

The spelling of 13012243431 in words is "thirteen billion, twelve million, two hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 41 53 123 159 451 583 1353 1749 2173 6519 23903 71709 181459 544377 1996049 5988147 7439819 9617327 22319457 28851981 81838009 105790597 245514027 317371791 394310407 1182931221 4337414477 13012243431