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131611716 = 2235135403
BaseRepresentation
bin1111101100000…
…11110001000100
3100011122120100000
413312003301010
5232143033331
621020521300
73155452425
oct766036104
9304576300
10131611716
1168322915
12380b0230
1321361272
141369d64c
15b84b0e6
hex7d83c44

131611716 has 36 divisors (see below), whose sum is σ = 345009392. Its totient is φ = 43870248.

The previous prime is 131611699. The next prime is 131611717. The reversal of 131611716 is 617116131.

131611716 is a `hidden beast` number, since 1 + 31 + 611 + 7 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131611716.

It is not an unprimeable number, because it can be changed into a prime (131611717) 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 11 ways as a sum of consecutive naturals, for example, 66730 + ... + 68673.

Almost surely, 2131611716 is an apocalyptic number.

It is an amenable number.

131611716 is an abundant number, since it is smaller than the sum of its proper divisors (213397676).

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

131611716 is a wasteful number, since it uses less digits than its factorization.

131611716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135422 (or 135408 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 131611716 is about 11472.2149561451. The cubic root of 131611716 is about 508.6646033017.

Adding to 131611716 its reverse (617116131), we get a palindrome (748727847).

The spelling of 131611716 in words is "one hundred thirty-one million, six hundred eleven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 135403 270806 406209 541612 812418 1218627 1624836 2437254 3655881 4874508 7311762 10967643 14623524 21935286 32902929 43870572 65805858 131611716