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12312413201 = 112412481841
BaseRepresentation
bin10110111011110000…
…01000010000010001
31011210001222101200202
423131320020100101
5200203434210301
65353425424545
7614053533254
oct133570102021
934701871622
1012312413201
115249044300
12247749b155
131212aba6ca
1484b30309b
154c0dd266b
hex2dde08411

12312413201 has 12 divisors (see below), whose sum is σ = 13863569412. Its totient is φ = 10920096000.

The previous prime is 12312413137. The next prime is 12312413209. The reversal of 12312413201 is 10231421321.

It can be written as a sum of positive squares in 2 ways, for example, as 2856795601 + 9455617600 = 53449^2 + 97240^2 .

It is not a de Polignac number, because 12312413201 - 26 = 12312413137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12312413209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1235960 + ... + 1245881.

It is an arithmetic number, because the mean of its divisors is an integer number (1155297451).

Almost surely, 212312413201 is an apocalyptic number.

12312413201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312413201 is a deficient number, since it is larger than the sum of its proper divisors (1551156211).

12312413201 is a wasteful number, since it uses less digits than its factorization.

12312413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481904 (or 2481893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12312413201 its reverse (10231421321), we get a palindrome (22543834522).

The spelling of 12312413201 in words is "twelve billion, three hundred twelve million, four hundred thirteen thousand, two hundred one".

Divisors: 1 11 41 121 451 4961 2481841 27300251 101755481 300302761 1119310291 12312413201