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312112402319 is a prime number
BaseRepresentation
bin1001000101010110101…
…10010100111110001111
31002211121122112211002102
410202223112110332033
520103201233333234
6355214335545315
731356302434544
oct4425326247617
91084548484072
10312112402319
11110403350453
12505a598b23b
132358035a083
141116ba5cbcb
1581bac33c7e
hex48ab594f8f

312112402319 has 2 divisors, whose sum is σ = 312112402320. Its totient is φ = 312112402318.

The previous prime is 312112402267. The next prime is 312112402331. The reversal of 312112402319 is 913204211213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312112402319 is a prime.

It is a super-2 number, since 2×3121124023192 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 312112402291 and 312112402300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312112408319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056201159 + 156056201160.

It is an arithmetic number, because the mean of its divisors is an integer number (156056201160).

Almost surely, 2312112402319 is an apocalyptic number.

312112402319 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112402319 is an equidigital number, since it uses as much as digits as its factorization.

312112402319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 312112402319 in words is "three hundred twelve billion, one hundred twelve million, four hundred two thousand, three hundred nineteen".