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131056452400 = 24522271443353
BaseRepresentation
bin111101000001110010…
…0101100001100110000
3110112021112211120212111
41322003210230030300
54121400422434100
6140112334335104
712316462315336
oct1720344541460
9415245746774
10131056452400
1150642a50495
122149665a494
13c487a18cb3
1464b390db56
1536209966ba
hex1e8392c330

131056452400 has 60 divisors (see below), whose sum is σ = 316250408232. Its totient is φ = 52191608320.

The previous prime is 131056452391. The next prime is 131056452487. The reversal of 131056452400 is 4254650131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630877 + ... + 812476.

Almost surely, 2131056452400 is an apocalyptic number.

131056452400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131056452400 is an abundant number, since it is smaller than the sum of its proper divisors (185193955832).

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

131056452400 is a wasteful number, since it uses less digits than its factorization.

131056452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443598 (or 1443587 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 131056452400 in words is "one hundred thirty-one billion, fifty-six million, four hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 908 1135 1816 2270 3632 4540 5675 9080 11350 18160 22700 45400 90800 1443353 2886706 5773412 7216765 11546824 14433530 23093648 28867060 36083825 57734120 72167650 115468240 144335300 288670600 327641131 577341200 655282262 1310564524 1638205655 2621129048 3276411310 5242258096 6552822620 8191028275 13105645240 16382056550 26211290480 32764113100 65528226200 131056452400