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131550507 = 3311641691
BaseRepresentation
bin1111101011101…
…00110100101011
3100011112110101000
413311310310223
5232134104012
621015330043
73155106114
oct765646453
9304473330
10131550507
1168290930
1238080923
132133c44a
141368520b
15b837ddc
hex7d74d2b

131550507 has 32 divisors (see below), whose sum is σ = 213246720. Its totient is φ = 79488000.

The previous prime is 131550491. The next prime is 131550553. The reversal of 131550507 is 705055131.

131550507 is a `hidden beast` number, since 1 + 3 + 155 + 0 + 507 = 666.

It is not a de Polignac number, because 131550507 - 24 = 131550491 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131550557) 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, 190032 + ... + 190722.

It is an arithmetic number, because the mean of its divisors is an integer number (6663960).

Almost surely, 2131550507 is an apocalyptic number.

131550507 is a deficient number, since it is larger than the sum of its proper divisors (81696213).

131550507 is a wasteful number, since it uses less digits than its factorization.

131550507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 131550507 is about 11469.5469396136. The cubic root of 131550507 is about 508.5857357547.

The spelling of 131550507 in words is "one hundred thirty-one million, five hundred fifty thousand, five hundred seven".

Divisors: 1 3 9 11 27 33 99 297 641 691 1923 2073 5769 6219 7051 7601 17307 18657 21153 22803 63459 68409 190377 205227 442931 1328793 3986379 4872241 11959137 14616723 43850169 131550507