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312110223127 is a prime number
BaseRepresentation
bin1001000101010110011…
…10000000111100010111
31002211121111110002210121
410202223032000330113
520103200204120002
6355214221132411
731356245060323
oct4425316007427
91084544402717
10312110223127
111104020a216a
12505a50ba107
132357ca76201
141116b652983
1581ba953237
hex48ab380f17

312110223127 has 2 divisors, whose sum is σ = 312110223128. Its totient is φ = 312110223126.

The previous prime is 312110223067. The next prime is 312110223133. The reversal of 312110223127 is 721322011213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312110223127 is a prime.

It is a super-3 number, since 3×3121102231273 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312110223527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055111563 + 156055111564.

It is an arithmetic number, because the mean of its divisors is an integer number (156055111564).

Almost surely, 2312110223127 is an apocalyptic number.

312110223127 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110223127 is an equidigital number, since it uses as much as digits as its factorization.

312110223127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 312110223127 in words is "three hundred twelve billion, one hundred ten million, two hundred twenty-three thousand, one hundred twenty-seven".