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131130312 = 23315433541
BaseRepresentation
bin1111101000011…
…10001111001000
3100010202002222020
413310032033020
5232032132222
621002324440
73151406055
oct764161710
9303662866
10131130312
1168024165
1237ab9720
1321223101
14135b602c
15b7a365c
hex7d0e3c8

131130312 has 32 divisors (see below), whose sum is σ = 328130880. Its totient is φ = 43669440.

The previous prime is 131130287. The next prime is 131130313. The reversal of 131130312 is 213031131.

It is a junction number, because it is equal to n+sod(n) for n = 131130291 and 131130300.

It is not an unprimeable number, because it can be changed into a prime (131130313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35262 + ... + 38802.

It is an arithmetic number, because the mean of its divisors is an integer number (10254090).

Almost surely, 2131130312 is an apocalyptic number.

131130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131130312 is an abundant number, since it is smaller than the sum of its proper divisors (197000568).

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

131130312 is a wasteful number, since it uses less digits than its factorization.

131130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131130312 is about 11451.2144334127. The cubic root of 131130312 is about 508.0436546691.

Adding to 131130312 its reverse (213031131), we get a palindrome (344161443).

The spelling of 131130312 in words is "one hundred thirty-one million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1543 3086 3541 4629 6172 7082 9258 10623 12344 14164 18516 21246 28328 37032 42492 84984 5463763 10927526 16391289 21855052 32782578 43710104 65565156 131130312