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131105565 = 3252913457
BaseRepresentation
bin1111101000010…
…00001100011101
3100010200212000200
413310020030131
5232030334230
621002014113
73151243653
oct764101435
9303625020
10131105565
1168007608
1237aa7339
1321214a76
14135aadd3
15b79b160
hex7d0831d

131105565 has 12 divisors (see below), whose sum is σ = 227249724. Its totient is φ = 69922944.

The previous prime is 131105563. The next prime is 131105573. The reversal of 131105565 is 565501131.

It can be written as a sum of positive squares in 2 ways, for example, as 28164249 + 102941316 = 5307^2 + 10146^2 .

It is not a de Polignac number, because 131105565 - 21 = 131105563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105561) 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, 1456684 + ... + 1456773.

It is an arithmetic number, because the mean of its divisors is an integer number (18937477).

Almost surely, 2131105565 is an apocalyptic number.

131105565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131105565 is a deficient number, since it is larger than the sum of its proper divisors (96144159).

131105565 is a wasteful number, since it uses less digits than its factorization.

131105565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913468 (or 2913465 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 131105565 is about 11450.1338420125. The cubic root of 131105565 is about 508.0116932126.

Adding to 131105565 its reverse (565501131), we get a palindrome (696606696).

The spelling of 131105565 in words is "one hundred thirty-one million, one hundred five thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 2913457 8740371 14567285 26221113 43701855 131105565