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131352507 = 321113102061
BaseRepresentation
bin1111101010001…
…00011110111011
3100011011101202200
413311010132323
5232111240012
621011201243
73153322626
oct765043673
9304141680
10131352507
11681660a0
1237ba6223
13212a02a0
1413632dbd
15b7e93dc
hex7d447bb

131352507 has 24 divisors (see below), whose sum is σ = 222903408. Its totient is φ = 73483200.

The previous prime is 131352439. The next prime is 131352509. The reversal of 131352507 is 705253131.

131352507 is a `hidden beast` number, since 131 + 3 + 525 + 0 + 7 = 666.

It is not a de Polignac number, because 131352507 - 211 = 131350459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131352509) 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 23 ways as a sum of consecutive naturals, for example, 49744 + ... + 52317.

It is an arithmetic number, because the mean of its divisors is an integer number (9287642).

Almost surely, 2131352507 is an apocalyptic number.

131352507 is a deficient number, since it is larger than the sum of its proper divisors (91550901).

131352507 is a wasteful number, since it uses less digits than its factorization.

131352507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102091 (or 102088 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 131352507 is about 11460.9121364750. The cubic root of 131352507 is about 508.3304458733.

The spelling of 131352507 in words is "one hundred thirty-one million, three hundred fifty-two thousand, five hundred seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 102061 306183 918549 1122671 1326793 3368013 3980379 10104039 11941137 14594723 43784169 131352507