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131507997 = 3236173089
BaseRepresentation
bin1111101011010…
…10011100011101
3100011110022001120
413311222130131
5232131223442
621014401153
73154541145
oct765523435
9304408046
10131507997
11682619a5
12380601b9
1321325caa
1413673925
15b82a4ec
hex7d6a71d

131507997 has 16 divisors (see below), whose sum is σ = 183323520. Its totient is φ = 83697152.

The previous prime is 131507989. The next prime is 131508001. The reversal of 131507997 is 799705131.

It is a cyclic number.

It is not a de Polignac number, because 131507997 - 23 = 131507989 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507917) 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 15 ways as a sum of consecutive naturals, for example, 41029 + ... + 44117.

It is an arithmetic number, because the mean of its divisors is an integer number (11457720).

Almost surely, 2131507997 is an apocalyptic number.

It is an amenable number.

131507997 is a deficient number, since it is larger than the sum of its proper divisors (51815523).

131507997 is a wasteful number, since it uses less digits than its factorization.

131507997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732.

The product of its (nonzero) digits is 59535, while the sum is 42.

The square root of 131507997 is about 11467.6936216486. The cubic root of 131507997 is about 508.5309473966.

The spelling of 131507997 in words is "one hundred thirty-one million, five hundred seven thousand, nine hundred ninety-seven".

Divisors: 1 3 23 69 617 1851 3089 9267 14191 42573 71047 213141 1905913 5717739 43835999 131507997