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132531135831 = 32236110495853
BaseRepresentation
bin111101101101101111…
…0001010010101010111
3110200002022201021020100
41323123132022111113
54132410432321311
6140514534105143
712401150032053
oct1733336122527
9420068637210
10132531135831
115122a409a26
12218284ab1b3
13c6613b5c43
1465b3702c63
1536aa18ea56
hex1edb78a557

132531135831 has 24 divisors (see below), whose sum is σ = 203031799776. Its totient is φ = 83127147840.

The previous prime is 132531135829. The next prime is 132531135887. The reversal of 132531135831 is 138531135231.

132531135831 is a `hidden beast` number, since 1 + 32 + 5 + 31 + 13 + 583 + 1 = 666.

It is not a de Polignac number, because 132531135831 - 21 = 132531135829 is a prime.

It is a super-2 number, since 2×1325311358312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132531135811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5235300 + ... + 5260553.

It is an arithmetic number, because the mean of its divisors is an integer number (8459658324).

Almost surely, 2132531135831 is an apocalyptic number.

132531135831 is a deficient number, since it is larger than the sum of its proper divisors (70500663945).

132531135831 is a wasteful number, since it uses less digits than its factorization.

132531135831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495943 (or 10495940 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 132531135831 in words is "one hundred thirty-two billion, five hundred thirty-one million, one hundred thirty-five thousand, eight hundred thirty-one".

Divisors: 1 3 9 23 61 69 183 207 549 1403 4209 12627 10495853 31487559 94462677 241404619 640247033 724213857 1920741099 2172641571 5762223297 14725681759 44177045277 132531135831