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131535132 = 22316367247
BaseRepresentation
bin1111101011100…
…01000100011100
3100011111200021120
413311301010130
5232133111012
621015130540
73155013231
oct765610434
9304450246
10131535132
1168280323
1238073a50
1321335451
141367d788
15b83358c
hex7d7111c

131535132 has 24 divisors (see below), whose sum is σ = 308802816. Its totient is φ = 43575408.

The previous prime is 131535121. The next prime is 131535133. The reversal of 131535132 is 231535131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131535133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31668 + ... + 35579.

It is an arithmetic number, because the mean of its divisors is an integer number (12866784).

Almost surely, 2131535132 is an apocalyptic number.

131535132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131535132 is an abundant number, since it is smaller than the sum of its proper divisors (177267684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131535132 is a wasteful number, since it uses less digits than its factorization.

131535132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67417 (or 67415 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 131535132 is about 11468.8766668754. The cubic root of 131535132 is about 508.5659212857.

Subtracting 131535132 from its reverse (231535131), we obtain a palindrome (99999999).

The spelling of 131535132 in words is "one hundred thirty-one million, five hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956 67247 134494 201741 268988 403482 806964 10961261 21922522 32883783 43845044 65767566 131535132