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312131112011 is a prime number
BaseRepresentation
bin1001000101011000111…
…01101100110001001011
31002211122221202100221222
410202230131230301023
520103221031041021
6355220244552255
731356620451005
oct4425435546113
91084587670858
10312131112011
1111041296a304
12505b00b268b
13235841ab0b4
141117032d375
1581bc6cc6ab
hex48ac76cc4b

312131112011 has 2 divisors, whose sum is σ = 312131112012. Its totient is φ = 312131112010.

The previous prime is 312131112001. The next prime is 312131112043. The reversal of 312131112011 is 110211131213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312131112011 is a prime.

It is not a weakly prime, because it can be changed into another prime (312131112001) 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, 156065556005 + 156065556006.

It is an arithmetic number, because the mean of its divisors is an integer number (156065556006).

Almost surely, 2312131112011 is an apocalyptic number.

312131112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131112011 is an equidigital number, since it uses as much as digits as its factorization.

312131112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 312131112011 its reverse (110211131213), we get a palindrome (422342243224).

The spelling of 312131112011 in words is "three hundred twelve billion, one hundred thirty-one million, one hundred twelve thousand, eleven".