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12312310013100 = 22325213680344459
BaseRepresentation
bin1011001100101010111011…
…0111010101110010101100
31121121001020001110120220200
42303022232313111302230
53103211102330404400
642104110325313500
72410351343224026
oct263125667256254
947531201416820
1012312310013100
113a17692026149
12146a25b865890
136b40799785c6
14307cc199b016
1516541118ab00
hexb32aedd5cac

12312310013100 has 54 divisors (see below), whose sum is σ = 38592251721660. Its totient is φ = 3283282669920.

The previous prime is 12312310013089. The next prime is 12312310013119. The reversal of 12312310013100 is 131001321321.

12312310013100 is a `hidden beast` number, since 1 + 231 + 23 + 100 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×123123100131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6840171330 + ... + 6840173129.

Almost surely, 212312310013100 is an apocalyptic number.

12312310013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312310013100 is an abundant number, since it is smaller than the sum of its proper divisors (26279941708560).

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

12312310013100 is a wasteful number, since it uses less digits than its factorization.

12312310013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680344479 (or 13680344469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12312310013100 its reverse (131001321321), we get a palindrome (12443311334421).

The spelling of 12312310013100 in words is "twelve trillion, three hundred twelve billion, three hundred ten million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13680344459 27360688918 41041033377 54721377836 68401722295 82082066754 123123100131 136803444590 164164133508 205205166885 246246200262 273606889180 342008611475 410410333770 492492400524 615615500655 684017222950 820820667540 1026025834425 1231231001310 1368034445900 2052051668850 2462462002620 3078077503275 4104103337700 6156155006550 12312310013100