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312112311127 is a prime number
BaseRepresentation
bin1001000101010110101…
…01111110101101010111
31002211121122101011222221
410202223111332231113
520103201222424002
6355214334003211
731356301604641
oct4425325765527
91084548334887
10312112311127
11110403298991
12505a5946507
1323580327706
141116ba37891
1581bac16c37
hex48ab57eb57

312112311127 has 2 divisors, whose sum is σ = 312112311128. Its totient is φ = 312112311126.

The previous prime is 312112311083. The next prime is 312112311151. The reversal of 312112311127 is 721113211213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312112311127 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312112311187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056155563 + 156056155564.

It is an arithmetic number, because the mean of its divisors is an integer number (156056155564).

Almost surely, 2312112311127 is an apocalyptic number.

312112311127 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112311127 is an equidigital number, since it uses as much as digits as its factorization.

312112311127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 25.

The spelling of 312112311127 in words is "three hundred twelve billion, one hundred twelve million, three hundred eleven thousand, one hundred twenty-seven".