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312110312993 is a prime number
BaseRepresentation
bin1001000101010110011…
…10010110111000100001
31002211121111121200001222
410202223032112320201
520103200220003433
6355214223104425
731356245613323
oct4425316267041
91084544550058
10312110312993
11110402153736
12505a5142115
132357caa809b
141116b677613
1581ba96eb98
hex48ab396e21

312110312993 has 2 divisors, whose sum is σ = 312110312994. Its totient is φ = 312110312992.

The previous prime is 312110312977. The next prime is 312110313013. The reversal of 312110312993 is 399213011213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264471575824 + 47638737169 = 514268^2 + 218263^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110312993 - 24 = 312110312977 is a prime.

It is not a weakly prime, because it can be changed into another prime (312110312933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055156496 + 156055156497.

It is an arithmetic number, because the mean of its divisors is an integer number (156055156497).

Almost surely, 2312110312993 is an apocalyptic number.

It is an amenable number.

312110312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110312993 is an equidigital number, since it uses as much as digits as its factorization.

312110312993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 312110312993 in words is "three hundred twelve billion, one hundred ten million, three hundred twelve thousand, nine hundred ninety-three".