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131126313 = 32910314633
BaseRepresentation
bin1111101000011…
…01010000101001
3100010201220111010
413310031100221
5232032020223
621002254133
73151361313
oct764152051
9303656433
10131126313
116802115a
1237ab7349
1321221346
14135b47b3
15b7a2393
hex7d0d429

131126313 has 16 divisors (see below), whose sum is σ = 182632320. Its totient is φ = 83577984.

The previous prime is 131126299. The next prime is 131126327. The reversal of 131126313 is 313621131.

It is an interprime number because it is at equal distance from previous prime (131126299) and next prime (131126327).

It is not a de Polignac number, because 131126313 - 28 = 131126057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131126313.

It is not an unprimeable number, because it can be changed into a prime (131126213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (11414520).

Almost surely, 2131126313 is an apocalyptic number.

It is an amenable number.

131126313 is a deficient number, since it is larger than the sum of its proper divisors (51506007).

131126313 is a wasteful number, since it uses less digits than its factorization.

131126313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768.

The product of its digits is 324, while the sum is 21.

The square root of 131126313 is about 11451.0398217804. The cubic root of 131126313 is about 508.0384901189.

Adding to 131126313 its reverse (313621131), we get a palindrome (444747444).

The spelling of 131126313 in words is "one hundred thirty-one million, one hundred twenty-six thousand, three hundred thirteen".

Divisors: 1 3 29 87 103 309 2987 8961 14633 43899 424357 1273071 1507199 4521597 43708771 131126313