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131616741 = 32310717827
BaseRepresentation
bin1111101100001…
…00111111100101
3100011122211020010
413312010333211
5232143213431
621021000433
73155503164
oct766047745
9304584203
10131616741
1168326673
12380b3119
1321363639
14136a13db
15b84c846
hex7d84fe5

131616741 has 16 divisors (see below), whose sum is σ = 184840704. Its totient is φ = 83140464.

The previous prime is 131616713. The next prime is 131616757. The reversal of 131616741 is 147616131.

It is not a de Polignac number, because 131616741 - 26 = 131616677 is a prime.

It is a super-2 number, since 2×1316167412 = 34645933022922162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131616699 and 131616708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131616701) 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 15 ways as a sum of consecutive naturals, for example, 1531 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (11552544).

Almost surely, 2131616741 is an apocalyptic number.

It is an amenable number.

131616741 is a deficient number, since it is larger than the sum of its proper divisors (53223963).

131616741 is a wasteful number, since it uses less digits than its factorization.

131616741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960.

The product of its digits is 3024, while the sum is 30.

The square root of 131616741 is about 11472.4339614574. The cubic root of 131616741 is about 508.6710769075.

The spelling of 131616741 in words is "one hundred thirty-one million, six hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 3 23 69 107 321 2461 7383 17827 53481 410021 1230063 1907489 5722467 43872247 131616741