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131312310 = 2356077211
BaseRepresentation
bin1111101001110…
…10101010110110
3100011002100121220
413310322222312
5232103443220
621010251210
73153064503
oct764725266
9304070556
10131312310
1168138978
1237b86b06
1321287bbc
14136224aa
15b7dc540
hex7d3aab6

131312310 has 32 divisors (see below), whose sum is σ = 315712512. Its totient is φ = 34954080.

The previous prime is 131312281. The next prime is 131312341. The reversal of 131312310 is 13213131.

It is a super-2 number, since 2×1313123102 = 34485845515072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131312310.

It is a congruent number.

It is an unprimeable number.

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, 14605 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (9866016).

Almost surely, 2131312310 is an apocalyptic number.

131312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131312310 is an abundant number, since it is smaller than the sum of its proper divisors (184400202).

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

131312310 is a wasteful number, since it uses less digits than its factorization.

131312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828.

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

The square root of 131312310 is about 11459.1583460567. The cubic root of 131312310 is about 508.2785868361.

Adding to 131312310 its reverse (13213131), we get a palindrome (144525441).

The spelling of 131312310 in words is "one hundred thirty-one million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 607 1214 1821 3035 3642 6070 7211 9105 14422 18210 21633 36055 43266 72110 108165 216330 4377077 8754154 13131231 21885385 26262462 43770770 65656155 131312310