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131220102192 = 24319143881691
BaseRepresentation
bin111101000110101010…
…0111101110000110000
3110112200221202212011220
41322031110331300300
54122214321232232
6140140502105040
712323520315414
oct1721524756060
9415627685156
10131220102192
1150717365a53
122152141b180
13c4b28b6aaa
1464cb54cd44
15363002042c
hex1e8d53dc30

131220102192 has 40 divisors (see below), whose sum is σ = 356826596160. Its totient is φ = 41437926720.

The previous prime is 131220102137. The next prime is 131220102193. The reversal of 131220102192 is 291201022131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131220102193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71939934 + ... + 71941757.

It is an arithmetic number, because the mean of its divisors is an integer number (8920664904).

Almost surely, 2131220102192 is an apocalyptic number.

131220102192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131220102192 is an abundant number, since it is smaller than the sum of its proper divisors (225606493968).

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

131220102192 is a wasteful number, since it uses less digits than its factorization.

131220102192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143881721 (or 143881715 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 131220102192 in words is "one hundred thirty-one billion, two hundred twenty million, one hundred two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 143881691 287763382 431645073 575526764 863290146 1151053528 1726580292 2302107056 2733752129 3453160584 5467504258 6906321168 8201256387 10935008516 16402512774 21870017032 32805025548 43740034064 65610051096 131220102192