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137213634041 = 1141586951839
BaseRepresentation
bin111111111001010010…
…0011110010111111001
3111010011122122211012222
41333302210132113321
54222003142242131
6143011324213425
712625165434251
oct1776244362771
9433148584188
10137213634041
1153212579160
122271469a275
13cc29529743
1468d9556961
1538812cb87b
hex1ff291e5f9

137213634041 has 16 divisors (see below), whose sum is σ = 153367603200. Its totient is φ = 121674153600.

The previous prime is 137213634037. The next prime is 137213634043. The reversal of 137213634041 is 140436312731.

It is a cyclic number.

It is not a de Polignac number, because 137213634041 - 22 = 137213634037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137213633992 and 137213634010.

It is not an unprimeable number, because it can be changed into a prime (137213634043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621000 + ... + 2672838.

It is an arithmetic number, because the mean of its divisors is an integer number (9585475200).

Almost surely, 2137213634041 is an apocalyptic number.

137213634041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137213634041 is a deficient number, since it is larger than the sum of its proper divisors (16153969159).

137213634041 is a wasteful number, since it uses less digits than its factorization.

137213634041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57760.

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 137213634041 its reverse (140436312731), we get a palindrome (277649946772).

The spelling of 137213634041 in words is "one hundred thirty-seven billion, two hundred thirteen million, six hundred thirty-four thousand, forty-one".

Divisors: 1 11 41 451 5869 51839 64559 240629 570229 2125399 2646919 23379389 304243091 3346674001 12473966731 137213634041