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131845032 = 233211166471
BaseRepresentation
bin1111101101111…
…00101110101000
3100012002102101100
413312330232220
5232223020112
621025521400
73160443564
oct766745650
9305072340
10131845032
1168472140
12381a3260
1321413517
14137206a4
15b8952dc
hex7dbcba8

131845032 has 48 divisors (see below), whose sum is σ = 389544480. Its totient is φ = 39952800.

The previous prime is 131845031. The next prime is 131845033. The reversal of 131845032 is 230548131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131845031) and next prime (131845033).

It is a super-2 number, since 2×1318450322 = 34766224926162048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131844987 and 131845005.

It is not an unprimeable number, because it can be changed into a prime (131845031) 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 11 ways as a sum of consecutive naturals, for example, 82444 + ... + 84027.

It is an arithmetic number, because the mean of its divisors is an integer number (8115510).

Almost surely, 2131845032 is an apocalyptic number.

131845032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131845032 is an abundant number, since it is smaller than the sum of its proper divisors (257699448).

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

131845032 is a wasteful number, since it uses less digits than its factorization.

131845032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166494 (or 166487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 131845032 is about 11482.3791959681. The cubic root of 131845032 is about 508.9650059635.

The spelling of 131845032 in words is "one hundred thirty-one million, eight hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 166471 332942 499413 665884 998826 1331768 1498239 1831181 1997652 2996478 3662362 3995304 5493543 5992956 7324724 10987086 11985912 14649448 16480629 21974172 32961258 43948344 65922516 131845032