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12310012100 = 2252761161761
BaseRepresentation
bin10110111011011101…
…11110000011000100
31011202220110102000002
423131232332003010
5200202330341400
65353302140432
7614024243051
oct133556760304
934686412002
1012310012100
115247754321
122476721718
131212459839
1484ac7a028
154c0aaaed5
hex2ddbbe0c4

12310012100 has 36 divisors (see below), whose sum is σ = 26747993748. Its totient is φ = 4917504000.

The previous prime is 12310012081. The next prime is 12310012151. The reversal of 12310012100 is 121001321.

It can be written as a sum of positive squares in 6 ways, for example, as 3096699904 + 9213312196 = 55648^2 + 95986^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4781 + ... + 156980.

Almost surely, 212310012100 is an apocalyptic number.

12310012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310012100 is an abundant number, since it is smaller than the sum of its proper divisors (14437981648).

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

12310012100 is a wasteful number, since it uses less digits than its factorization.

12310012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162536 (or 162529 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12310012100 its reverse (121001321), we get a palindrome (12431013421).

The spelling of 12310012100 in words is "twelve billion, three hundred ten million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 1522 3044 3805 7610 15220 19025 38050 76100 161761 323522 647044 808805 1617610 3235220 4044025 8088050 16176100 123100121 246200242 492400484 615500605 1231001210 2462002420 3077503025 6155006050 12310012100