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131353512 = 2335999137
BaseRepresentation
bin1111101010001…
…00101110101000
3100011011110010220
413311010232220
5232111303022
621011210040
73153325563
oct765045650
9304143126
10131353512
1168166924
1237ba6920
13212a0894
14136334da
15b7e985c
hex7d44ba8

131353512 has 32 divisors (see below), whose sum is σ = 328968000. Its totient is φ = 43706624.

The previous prime is 131353477. The next prime is 131353513. The reversal of 131353512 is 215353131.

It is a super-2 number, since 2×1313535122 = 34507490229468288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131353513) 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, 9808 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (10280250).

Almost surely, 2131353512 is an apocalyptic number.

131353512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131353512 is an abundant number, since it is smaller than the sum of its proper divisors (197614488).

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

131353512 is a wasteful number, since it uses less digits than its factorization.

131353512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9741 counting only the distinct ones).

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

The square root of 131353512 is about 11460.9559810689. The cubic root of 131353512 is about 508.3317423104.

The spelling of 131353512 in words is "one hundred thirty-one million, three hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 599 1198 1797 2396 3594 4792 7188 9137 14376 18274 27411 36548 54822 73096 109644 219288 5473063 10946126 16419189 21892252 32838378 43784504 65676756 131353512