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312332234441113 = 17159711504373437
BaseRepresentation
bin100011100000100001000001…
…1111000101100000110011001
31111221212200002102201222202001
41013001002003320230012121
5311414222404004103423
63024135240411241001
7122534154634606405
oct10701020370540631
91457780072658661
10312332234441113
11905783a19482a7
122b0440b5449161
1310537a59bb82a3
14571ad64646105
152619728cd8cad
hex11c1083e2c199

312332234441113 has 8 divisors (see below), whose sum is σ = 330911797570632. Its totient is φ = 293775680061696.

The previous prime is 312332234441081. The next prime is 312332234441191. The reversal of 312332234441113 is 311144432233213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11331490947984 + 301000743493129 = 3366228^2 + 17349373^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312332234441113 - 25 = 312332234441081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312332234447113) 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, 5752159570 + ... + 5752213867.

It is an arithmetic number, because the mean of its divisors is an integer number (41363974696329).

Almost surely, 2312332234441113 is an apocalyptic number.

It is an amenable number.

312332234441113 is a deficient number, since it is larger than the sum of its proper divisors (18579563129519).

312332234441113 is a wasteful number, since it uses less digits than its factorization.

312332234441113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504375051.

The product of its digits is 124416, while the sum is 37.

Adding to 312332234441113 its reverse (311144432233213), we get a palindrome (623476666674326).

The spelling of 312332234441113 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred thirty-four million, four hundred forty-one thousand, one hundred thirteen".

Divisors: 1 17 1597 27149 11504373437 195574348429 18372484378889 312332234441113