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312246642209 is a prime number
BaseRepresentation
bin1001000101100110101…
…10011010011000100001
31002211222000010220121012
410202303112122120201
520103440120022314
6355235533110305
731362522444515
oct4426326323041
91084860126535
10312246642209
111104720a8907
1250622928395
13235a20cb668
1411181804145
1581c78ed93e
hex48b359a621

312246642209 has 2 divisors, whose sum is σ = 312246642210. Its totient is φ = 312246642208.

The previous prime is 312246642167. The next prime is 312246642229. The reversal of 312246642209 is 902246642213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267966699025 + 44279943184 = 517655^2 + 210428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312246642209 is a prime.

It is not a weakly prime, because it can be changed into another prime (312246642229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156123321104 + 156123321105.

It is an arithmetic number, because the mean of its divisors is an integer number (156123321105).

Almost surely, 2312246642209 is an apocalyptic number.

It is an amenable number.

312246642209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312246642209 is an equidigital number, since it uses as much as digits as its factorization.

312246642209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 312246642209 in words is "three hundred twelve billion, two hundred forty-six million, six hundred forty-two thousand, two hundred nine".