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131240312 = 23729211383
BaseRepresentation
bin1111101001010…
…01000101111000
3100010221200212022
413310221011320
5232044142222
621004534012
73152344550
oct764510570
9303850768
10131240312
1168099875
1237b51308
13212611b8
1413604160
15b7c6042
hex7d29178

131240312 has 64 divisors (see below), whose sum is σ = 293068800. Its totient is φ = 53907840.

The previous prime is 131240299. The next prime is 131240371. The reversal of 131240312 is 213042131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342473 + ... + 342855.

It is an arithmetic number, because the mean of its divisors is an integer number (4579200).

Almost surely, 2131240312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146534400).

131240312 is an abundant number, since it is smaller than the sum of its proper divisors (161828488).

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

131240312 is a wasteful number, since it uses less digits than its factorization.

131240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131240312 is about 11456.0164106028. The cubic root of 131240312 is about 508.1856741659.

Adding to 131240312 its reverse (213042131), we get a palindrome (344282443).

The spelling of 131240312 in words is "one hundred thirty-one million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 211 232 383 406 422 766 812 844 1477 1532 1624 1688 2681 2954 3064 5362 5908 6119 10724 11107 11816 12238 21448 22214 24476 42833 44428 48952 77749 80813 85666 88856 155498 161626 171332 310996 323252 342664 565691 621992 646504 1131382 2262764 2343577 4525528 4687154 9374308 16405039 18748616 32810078 65620156 131240312