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131137507 = 1722915647
BaseRepresentation
bin1111101000011…
…11111111100011
3100010202110211201
413310033333203
5232032400012
621002422031
73151436044
oct764177743
9303673751
10131137507
1168029606
1237b01917
1321226477
14135b88cb
15b7a5857
hex7d0ffe3

131137507 has 12 divisors (see below), whose sum is σ = 144118080. Its totient is φ = 119159936.

The previous prime is 131137493. The next prime is 131137553. The reversal of 131137507 is 705731131.

It is not a de Polignac number, because 131137507 - 215 = 131104739 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131137207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 16204.

It is an arithmetic number, because the mean of its divisors is an integer number (12009840).

Almost surely, 2131137507 is an apocalyptic number.

131137507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131137507 is a deficient number, since it is larger than the sum of its proper divisors (12980573).

131137507 is a wasteful number, since it uses less digits than its factorization.

131137507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15710 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 131137507 is about 11451.5285879222. The cubic root of 131137507 is about 508.0529464624.

Adding to 131137507 its reverse (705731131), we get a palindrome (836868638).

The spelling of 131137507 in words is "one hundred thirty-one million, one hundred thirty-seven thousand, five hundred seven".

Divisors: 1 17 29 289 493 8381 15647 265999 453763 4521983 7713971 131137507