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312132312127 is a prime number
BaseRepresentation
bin1001000101011001000…
…10010001110000111111
31002211200001000100012201
410202230202101300333
520103221332442002
6355220330412331
731356633606616
oct4425442216077
91084601010181
10312132312127
11110413609a39
12505b05910a7
132358450b41c
141117056287d
1581bc868087
hex48ac891c3f

312132312127 has 2 divisors, whose sum is σ = 312132312128. Its totient is φ = 312132312126.

The previous prime is 312132312049. The next prime is 312132312181. The reversal of 312132312127 is 721213231213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312132312127 - 211 = 312132310079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132312095 and 312132312104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132312727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066156063 + 156066156064.

It is an arithmetic number, because the mean of its divisors is an integer number (156066156064).

Almost surely, 2312132312127 is an apocalyptic number.

312132312127 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132312127 is an equidigital number, since it uses as much as digits as its factorization.

312132312127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The spelling of 312132312127 in words is "three hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred twenty-seven".