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131503967 = 797293661
BaseRepresentation
bin1111101011010…
…01011101011111
3100011110002112022
413311221131133
5232131111332
621014330355
73154523330
oct765513537
9304402468
10131503967
1168259971
12380599bb
13213241ca
1413672287
15b829212
hex7d6975f

131503967 has 16 divisors (see below), whose sum is σ = 152588352. Its totient is φ = 111006720.

The previous prime is 131503943. The next prime is 131503969. The reversal of 131503967 is 769305131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131503967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198617 + ... + 199277.

It is an arithmetic number, because the mean of its divisors is an integer number (9536772).

Almost surely, 2131503967 is an apocalyptic number.

131503967 is a deficient number, since it is larger than the sum of its proper divisors (21084385).

131503967 is an equidigital number, since it uses as much as digits as its factorization.

131503967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 131503967 is about 11467.5179092949. The cubic root of 131503967 is about 508.5257527806.

The spelling of 131503967 in words is "one hundred thirty-one million, five hundred three thousand, nine hundred sixty-seven".

Divisors: 1 7 97 293 661 679 2051 4627 28421 64117 193673 198947 448819 1355711 18786281 131503967