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312204445169 is a prime number
BaseRepresentation
bin1001000101100001101…
…01011100010111110001
31002211212001202002010212
410202300311130113301
520103343314221134
6355231424433505
731361500666211
oct4426065342761
91084761662125
10312204445169
111104502a7621
1250610778895
1323596445ab6
1411179d7c241
1581c3d65bce
hex48b0d5c5f1

312204445169 has 2 divisors, whose sum is σ = 312204445170. Its totient is φ = 312204445168.

The previous prime is 312204445141. The next prime is 312204445181. The reversal of 312204445169 is 961544402213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301950250000 + 10254195169 = 549500^2 + 101263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312204445169 is a prime.

It is a super-2 number, since 2×3122044451692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312204445139) 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 as a sum of consecutive naturals, namely, 156102222584 + 156102222585.

It is an arithmetic number, because the mean of its divisors is an integer number (156102222585).

Almost surely, 2312204445169 is an apocalyptic number.

It is an amenable number.

312204445169 is a deficient number, since it is larger than the sum of its proper divisors (1).

312204445169 is an equidigital number, since it uses as much as digits as its factorization.

312204445169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 312204445169 in words is "three hundred twelve billion, two hundred four million, four hundred forty-five thousand, one hundred sixty-nine".