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131144013 = 327111314557
BaseRepresentation
bin1111101000100…
…01100101001101
3100010202210202200
413310101211031
5232033102023
621002512113
73151464030
oct764214515
9303683680
10131144013
1168033490
1237b05639
1321229410
14135bb017
15b7a7743
hex7d1194d

131144013 has 48 divisors (see below), whose sum is σ = 254357376. Its totient is φ = 62881920.

The previous prime is 131144011. The next prime is 131144017. The reversal of 131144013 is 310441131.

It is not a de Polignac number, because 131144013 - 21 = 131144011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731 + ... + 16287.

It is an arithmetic number, because the mean of its divisors is an integer number (5299112).

Almost surely, 2131144013 is an apocalyptic number.

131144013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131144013 is a deficient number, since it is larger than the sum of its proper divisors (123213363).

131144013 is a wasteful number, since it uses less digits than its factorization.

131144013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131144013 is about 11451.8126512793. The cubic root of 131144013 is about 508.0613481721.

Adding to 131144013 its reverse (310441131), we get a palindrome (441585144).

The spelling of 131144013 in words is "one hundred thirty-one million, one hundred forty-four thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 14557 43671 101899 131013 160127 189241 305697 480381 567723 917091 1120889 1324687 1441143 1703169 2081651 3362667 3974061 6244953 10088001 11922183 14571557 18734859 43714671 131144013