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312204441127 is a prime number
BaseRepresentation
bin1001000101100001101…
…01011011011000100111
31002211212001201212121011
410202300311123120213
520103343314104002
6355231424403051
731361500651345
oct4426065333047
91084761655534
10312204441127
111104502a4587
1250610776487
1323596443cc7
1411179d7a995
1581c3d648d7
hex48b0d5b627

312204441127 has 2 divisors, whose sum is σ = 312204441128. Its totient is φ = 312204441126.

The previous prime is 312204441103. The next prime is 312204441163. The reversal of 312204441127 is 721144402213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312204441127 is a prime.

It is a super-2 number, since 2×3122044411272 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312204441827) 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, 156102220563 + 156102220564.

It is an arithmetic number, because the mean of its divisors is an integer number (156102220564).

Almost surely, 2312204441127 is an apocalyptic number.

312204441127 is a deficient number, since it is larger than the sum of its proper divisors (1).

312204441127 is an equidigital number, since it uses as much as digits as its factorization.

312204441127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 312204441127 in words is "three hundred twelve billion, two hundred four million, four hundred forty-one thousand, one hundred twenty-seven".