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312131112199 is a prime number
BaseRepresentation
bin1001000101011000111…
…01101100110100000111
31002211122221202101012221
410202230131230310013
520103221031042244
6355220244553211
731356620451364
oct4425435546407
91084587671187
10312131112199
1111041296a465
12505b00b2807
13235841ab1ca
141117032d46b
1581bc6cc784
hex48ac76cd07

312131112199 has 2 divisors, whose sum is σ = 312131112200. Its totient is φ = 312131112198.

The previous prime is 312131112197. The next prime is 312131112269. The reversal of 312131112199 is 991211131213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312131112199 - 21 = 312131112197 is a prime.

Together with 312131112197, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131112193) 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, 156065556099 + 156065556100.

It is an arithmetic number, because the mean of its divisors is an integer number (156065556100).

Almost surely, 2312131112199 is an apocalyptic number.

312131112199 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131112199 is an equidigital number, since it uses as much as digits as its factorization.

312131112199 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 34.

The spelling of 312131112199 in words is "three hundred twelve billion, one hundred thirty-one million, one hundred twelve thousand, one hundred ninety-nine".