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312111012319 is a prime number
BaseRepresentation
bin1001000101010110100…
…01000001100111011111
31002211121112221012100221
410202223101001213133
520103200404343234
6355214250102211
731356254555221
oct4425321014737
91084545835327
10312111012319
11110402591097
12505a541a967
132357cc914a2
141116b7ba411
1581baa5beb4
hex48ab4419df

312111012319 has 2 divisors, whose sum is σ = 312111012320. Its totient is φ = 312111012318.

The previous prime is 312111012229. The next prime is 312111012331. The reversal of 312111012319 is 913210111213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312111012319 is a prime.

It is a super-2 number, since 2×3121110123192 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312111012293 and 312111012302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312111010319) 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, 156055506159 + 156055506160.

It is an arithmetic number, because the mean of its divisors is an integer number (156055506160).

Almost surely, 2312111012319 is an apocalyptic number.

312111012319 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111012319 is an equidigital number, since it uses as much as digits as its factorization.

312111012319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 312111012319 in words is "three hundred twelve billion, one hundred eleven million, twelve thousand, three hundred nineteen".