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131394681 = 32114612879
BaseRepresentation
bin1111101010011…
…10110001111001
3100011020112121200
413311032301321
5232114112211
621012124413
73153556605
oct765166171
9304215550
10131394681
1168194850
1238006709
13212b6542
1413644505
15b806b56
hex7d4ec79

131394681 has 24 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 79432800.

The previous prime is 131394643. The next prime is 131394689. The reversal of 131394681 is 186493131.

It is not a de Polignac number, because 131394681 - 210 = 131393657 is a prime.

It is a super-2 number, since 2×1313946812 = 34529124390183522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131394689) 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, 44200 + ... + 47078.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2131394681 is an apocalyptic number.

131394681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131394681 is a deficient number, since it is larger than the sum of its proper divisors (76172679).

131394681 is a wasteful number, since it uses less digits than its factorization.

131394681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3354 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 131394681 is about 11462.7518947241. The cubic root of 131394681 is about 508.3848441097.

The spelling of 131394681 in words is "one hundred thirty-one million, three hundred ninety-four thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 99 461 1383 2879 4149 5071 8637 15213 25911 31669 45639 95007 285021 1327219 3981657 11944971 14599409 43798227 131394681