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131265310 = 25112941149
BaseRepresentation
bin1111101001011…
…11001100011110
3100010222222011011
413310233030132
5232100442220
621005245434
73152510461
oct764571436
9303888134
10131265310
1168106630
1237b6387a
132126c6a7
141360d2d8
15b7cd65a
hex7d2f31e

131265310 has 32 divisors (see below), whose sum is σ = 266652000. Its totient is φ = 46085760.

The previous prime is 131265293. The next prime is 131265311. The reversal of 131265310 is 13562131.

It is a happy number.

131265310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312653102 = 34461163218792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131265311) 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, 17385 + ... + 23764.

It is an arithmetic number, because the mean of its divisors is an integer number (8332875).

Almost surely, 2131265310 is an apocalyptic number.

131265310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131265310 is an abundant number, since it is smaller than the sum of its proper divisors (135386690).

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

131265310 is a wasteful number, since it uses less digits than its factorization.

131265310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41196.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 131265310 is about 11457.1074010851. The cubic root of 131265310 is about 508.2179376750.

The spelling of 131265310 in words is "one hundred thirty-one million, two hundred sixty-five thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 3190 41149 82298 205745 411490 452639 905278 1193321 2263195 2386642 4526390 5966605 11933210 13126531 26253062 65632655 131265310