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131331564360 = 23325364809901
BaseRepresentation
bin111101001001111111…
…0001010001101001000
3110112222201111201112100
41322103332022031020
54122431340024420
6140155523113400
712326342610123
oct1722376121510
9415881451470
10131331564360
1150774276147
1221552812860
13c4cca11839
1464dc2853ba
153639bdb190
hex1e93f8a348

131331564360 has 48 divisors (see below), whose sum is σ = 426827585340. Its totient is φ = 35021750400.

The previous prime is 131331564359. The next prime is 131331564373. The reversal of 131331564360 is 63465133131.

131331564360 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 1 + 5 + 643 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131320713924 + 10850436 = 362382^2 + 3294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 182404591 + ... + 182405310.

Almost surely, 2131331564360 is an apocalyptic number.

131331564360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331564360 is an abundant number, since it is smaller than the sum of its proper divisors (295496020980).

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

131331564360 is a wasteful number, since it uses less digits than its factorization.

131331564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364809918 (or 364809911 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 131331564360 its reverse (63465133131), we get a palindrome (194796697491).

The spelling of 131331564360 in words is "one hundred thirty-one billion, three hundred thirty-one million, five hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 364809901 729619802 1094429703 1459239604 1824049505 2188859406 2918479208 3283289109 3648099010 4377718812 5472148515 6566578218 7296198020 8755437624 10944297030 13133156436 14592396040 16416445545 21888594060 26266312872 32832891090 43777188120 65665782180 131331564360