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131318313400 = 23522572554831
BaseRepresentation
bin111101001001100101…
…1100111000110111000
3110112221210120111122001
41322103023213012320
54122414442012100
6140154331110344
712326122150441
oct1722313470670
9415853514561
10131318313400
115076784553a
122154a2a23b4
13c4ca052331
1464da5d62c8
15363896ed6a
hex1e932e71b8

131318313400 has 48 divisors (see below), whose sum is σ = 306503195040. Its totient is φ = 52322918400.

The previous prime is 131318313391. The next prime is 131318313403. The reversal of 131318313400 is 4313813131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131318313403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1226016 + ... + 1328815.

It is an arithmetic number, because the mean of its divisors is an integer number (6385483230).

Almost surely, 2131318313400 is an apocalyptic number.

131318313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131318313400 is an abundant number, since it is smaller than the sum of its proper divisors (175184881640).

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

131318313400 is a wasteful number, since it uses less digits than its factorization.

131318313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555104 (or 2555095 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 131318313400 in words is "one hundred thirty-one billion, three hundred eighteen million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 10280 12850 25700 51400 2554831 5109662 10219324 12774155 20438648 25548310 51096620 63870775 102193240 127741550 255483100 510966200 656591567 1313183134 2626366268 3282957835 5252732536 6565915670 13131831340 16414789175 26263662680 32829578350 65659156700 131318313400