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131996857 = 1719408659
BaseRepresentation
bin1111101111000…
…01110010111001
3100012101010122111
413313201302321
5232242344412
621033052321
73161645326
oct767416271
9305333574
10131996857
1168566213
12382570a1
1321467665
141375db4d
15b8c52a7
hex7de1cb9

131996857 has 8 divisors (see below), whose sum is σ = 147117600. Its totient is φ = 117693504.

The previous prime is 131996831. The next prime is 131996861. The reversal of 131996857 is 758699131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131996857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131996857.

It is not an unprimeable number, because it can be changed into a prime (131993857) 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 7 ways as a sum of consecutive naturals, for example, 204007 + ... + 204652.

It is an arithmetic number, because the mean of its divisors is an integer number (18389700).

Almost surely, 2131996857 is an apocalyptic number.

131996857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131996857 is a deficient number, since it is larger than the sum of its proper divisors (15120743).

131996857 is a wasteful number, since it uses less digits than its factorization.

131996857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408695.

The product of its digits is 408240, while the sum is 49.

The square root of 131996857 is about 11488.9885107437. The cubic root of 131996857 is about 509.1602957634.

The spelling of 131996857 in words is "one hundred thirty-one million, nine hundred ninety-six thousand, eight hundred fifty-seven".

Divisors: 1 17 19 323 408659 6947203 7764521 131996857