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312110313013 is a prime number
BaseRepresentation
bin1001000101010110011…
…10010110111000110101
31002211121111121200002201
410202223032112320311
520103200220004023
6355214223104501
731356245613352
oct4425316267065
91084544550081
10312110313013
11110402153754
12505a5142131
132357caa80b5
141116b677629
1581ba96ebad
hex48ab396e35

312110313013 has 2 divisors, whose sum is σ = 312110313014. Its totient is φ = 312110313012.

The previous prime is 312110312993. The next prime is 312110313017. The reversal of 312110313013 is 310313011213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311568261489 + 542051524 = 558183^2 + 23282^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110313013 - 217 = 312110181941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312110313017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055156506 + 156055156507.

It is an arithmetic number, because the mean of its divisors is an integer number (156055156507).

Almost surely, 2312110313013 is an apocalyptic number.

It is an amenable number.

312110313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110313013 is an equidigital number, since it uses as much as digits as its factorization.

312110313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 312110313013 its reverse (310313011213), we get a palindrome (622423324226).

The spelling of 312110313013 in words is "three hundred twelve billion, one hundred ten million, three hundred thirteen thousand, thirteen".