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131065965 = 335970859
BaseRepresentation
bin1111100111111…
…10100001101101
3100010121211201000
413303332201231
5232023102330
621001110513
73151020342
oct763764155
9303554630
10131065965
1167a8a888
1237a88439
13211cca34
141359a7c9
15b78e560
hex7cfe86d

131065965 has 16 divisors (see below), whose sum is σ = 233006400. Its totient is φ = 69901776.

The previous prime is 131065897. The next prime is 131065967. The reversal of 131065965 is 569560131.

It is not a de Polignac number, because 131065965 - 28 = 131065709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131065967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485295 + ... + 485564.

It is an arithmetic number, because the mean of its divisors is an integer number (14562900).

Almost surely, 2131065965 is an apocalyptic number.

131065965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131065965 is a deficient number, since it is larger than the sum of its proper divisors (101940435).

131065965 is an equidigital number, since it uses as much as digits as its factorization.

131065965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970873 (or 970867 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 131065965 is about 11448.4044739868. The cubic root of 131065965 is about 507.9605403144.

The spelling of 131065965 in words is "one hundred thirty-one million, sixty-five thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 970859 2912577 4854295 8737731 14562885 26213193 43688655 131065965