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131487272904100 = 225211466792
BaseRepresentation
bin11101111001011001000100…
…001100011010010110100100
3122020120001122010100222002011
4131321121010030122112210
5114213241413330412400
61143352230321524004
736460433124620251
oct3571310414322644
9566501563328064
10131487272904100
1138994491763043
12128b71457a3604
13584a272ccb6c9
14246803741c428
15103044444b8ba
hex77964431a5a4

131487272904100 has 27 divisors (see below), whose sum is σ = 285327631031457. Its totient is φ = 52594863294480.

The previous prime is 131487272904079. The next prime is 131487272904131. The reversal of 131487272904100 is 1409272784131.

The square root of 131487272904100 is 11466790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47335418245476 + 84151854658624 = 6880074^2 + 9173432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114094561 + ... + 115241239.

Almost surely, 2131487272904100 is an apocalyptic number.

131487272904100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131487272904100 is the 11466790-th square number.

It is an amenable number.

131487272904100 is an abundant number, since it is smaller than the sum of its proper divisors (153840358127357).

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

131487272904100 is an frugal number, since it uses more digits than its factorization.

131487272904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293372 (or 1146686 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 131487272904100 in words is "one hundred thirty-one trillion, four hundred eighty-seven billion, two hundred seventy-two million, nine hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1146679 2293358 4586716 5733395 11466790 22933580 28666975 57333950 114667900 1314872729041 2629745458082 5259490916164 6574363645205 13148727290410 26297454580820 32871818226025 65743636452050 131487272904100