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131012013 = 31117435431
BaseRepresentation
bin1111100111100…
…01010110101101
3100010112002200210
413303301112231
5232014341023
621000013033
73150404136
oct763612655
9303462623
10131012013
1167a532a0
1237a61179
13211b1302
1413584c8d
15b77d593
hex7cf15ad

131012013 has 32 divisors (see below), whose sum is σ = 206502912. Its totient is φ = 72979200.

The previous prime is 131012009. The next prime is 131012029. The reversal of 131012013 is 310210131.

It is not a de Polignac number, because 131012013 - 22 = 131012009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21408 + ... + 26838.

It is an arithmetic number, because the mean of its divisors is an integer number (6453216).

Almost surely, 2131012013 is an apocalyptic number.

It is an amenable number.

131012013 is a deficient number, since it is larger than the sum of its proper divisors (75490899).

131012013 is a wasteful number, since it uses less digits than its factorization.

131012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131012013 is about 11446.0479205707. The cubic root of 131012013 is about 507.8908317817.

Adding to 131012013 its reverse (310210131), we get a palindrome (441222144).

The spelling of 131012013 in words is "one hundred thirty-one million, twelve thousand, thirteen".

Divisors: 1 3 11 17 33 43 51 129 187 473 561 731 1419 2193 5431 8041 16293 24123 59741 92327 179223 233533 276981 700599 1015597 2568863 3046791 3970061 7706589 11910183 43670671 131012013