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131547065 = 5132413797
BaseRepresentation
bin1111101011100…
…11111110111001
3100011112021122112
413311303332321
5232134001230
621015302105
73155063066
oct765637671
9304467575
10131547065
1168289291
123807a935
132133aa00
1413683c6d
15b836d95
hex7d73fb9

131547065 has 24 divisors (see below), whose sum is σ = 175148568. Its totient is φ = 94748160.

The previous prime is 131547061. The next prime is 131547083. The reversal of 131547065 is 560745131.

It can be written as a sum of positive squares in 12 ways, for example, as 130256569 + 1290496 = 11413^2 + 1136^2 .

It is not a de Polignac number, because 131547065 - 22 = 131547061 is a prime.

It is a super-2 number, since 2×1315470652 = 34609260620228450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131547061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32747 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (7297857).

Almost surely, 2131547065 is an apocalyptic number.

It is an amenable number.

131547065 is a deficient number, since it is larger than the sum of its proper divisors (43601503).

131547065 is a wasteful number, since it uses less digits than its factorization.

131547065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 131547065 is about 11469.3968891132. The cubic root of 131547065 is about 508.5813000253.

The spelling of 131547065 in words is "one hundred thirty-one million, five hundred forty-seven thousand, sixty-five".

Divisors: 1 5 13 41 65 169 205 533 845 2665 3797 6929 18985 34645 49361 155677 246805 641693 778385 2023801 3208465 10119005 26309413 131547065