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131077364 = 22112270821
BaseRepresentation
bin1111101000000…
…01010011110100
3100010122102100012
413310001103310
5232023433424
621001235352
73151065515
oct764012364
9303572305
10131077364
1167a98400
1237a92b58
1321204c92
14135a0a0c
15b792b0e
hex7d014f4

131077364 has 18 divisors (see below), whose sum is σ = 252135282. Its totient is φ = 59580400.

The previous prime is 131077363. The next prime is 131077367. The reversal of 131077364 is 463770131.

It can be written as a sum of positive squares in only one way, i.e., 83356900 + 47720464 = 9130^2 + 6908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131077364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131077363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134927 + ... + 135894.

Almost surely, 2131077364 is an apocalyptic number.

It is an amenable number.

131077364 is a deficient number, since it is larger than the sum of its proper divisors (121057918).

131077364 is a wasteful number, since it uses less digits than its factorization.

131077364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270847 (or 270834 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 131077364 is about 11448.9023054614. The cubic root of 131077364 is about 507.9752659129.

The spelling of 131077364 in words is "one hundred thirty-one million, seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 484 270821 541642 1083284 2979031 5958062 11916124 32769341 65538682 131077364