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131501907 = 3319318269
BaseRepresentation
bin1111101011010…
…00111101010011
3100011102222201000
413311220331103
5232131030112
621014313043
73154514325
oct765507523
9304388630
10131501907
1168258369
1238058783
13213232a4
1413671615
15b8287dc
hex7d68f53

131501907 has 32 divisors (see below), whose sum is σ = 211712000. Its totient is φ = 80364960.

The previous prime is 131501897. The next prime is 131501917. The reversal of 131501907 is 709105131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131501897) and next prime (131501917).

It is not a de Polignac number, because 131501907 - 28 = 131501651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131501917) 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, 11769 + ... + 20037.

It is an arithmetic number, because the mean of its divisors is an integer number (6616000).

Almost surely, 2131501907 is an apocalyptic number.

131501907 is a deficient number, since it is larger than the sum of its proper divisors (80210093).

131501907 is a wasteful number, since it uses less digits than its factorization.

131501907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 131501907 is about 11467.4280900296. The cubic root of 131501907 is about 508.5230974272.

The spelling of 131501907 in words is "one hundred thirty-one million, five hundred one thousand, nine hundred seven".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 5301 8269 15903 24807 74421 157111 223263 256339 471333 769017 1413999 2307051 4241997 4870441 6921153 14611323 43833969 131501907