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131012221402100 = 22525324719287057
BaseRepresentation
bin11101110010011110101000…
…111010101111101111110100
3122011212122102222011021012002
4131302132220322233233310
5114133001012134331400
61142350103355314432
736411214656520433
oct3562365072575764
9564778388137162
10131012221402100
1138820a75555435
121283b067a4ba18
1358145268241ac
14244d04d7b711a
151022dddc15ed5
hex7727a8eafbf4

131012221402100 has 36 divisors (see below), whose sum is σ = 289660605745644. Its totient is φ = 51416117076480.

The previous prime is 131012221402079. The next prime is 131012221402177. The reversal of 131012221402100 is 1204122210131.

It can be written as a sum of positive squares in 6 ways, for example, as 4289380650724 + 126722840751376 = 2071082^2 + 11257124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 12359638229 + ... + 12359648828.

It is an arithmetic number, because the mean of its divisors is an integer number (8046127937379).

Almost surely, 2131012221402100 is an apocalyptic number.

131012221402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012221402100 is an abundant number, since it is smaller than the sum of its proper divisors (158648384343544).

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

131012221402100 is a wasteful number, since it uses less digits than its factorization.

131012221402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24719287124 (or 24719287117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131012221402100 its reverse (1204122210131), we get a palindrome (132216343612231).

The spelling of 131012221402100 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 24719287057 49438574114 98877148228 123596435285 247192870570 494385741140 617982176425 1235964352850 1310122214021 2471928705700 2620244428042 5240488856084 6550611070105 13101222140210 26202444280420 32753055350525 65506110701050 131012221402100