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312113011213 is a prime number
BaseRepresentation
bin1001000101010110110…
…00101001101000001101
31002211121200200202100001
410202223120221220031
520103201412324323
6355214401004301
731356310552003
oct4425330515015
91084550622301
10312113011213
11110403726973
12505a6023691
1323580511273
141116bb7aa73
1581bad043ad
hex48ab629a0d

312113011213 has 2 divisors, whose sum is σ = 312113011214. Its totient is φ = 312113011212.

The previous prime is 312113011163. The next prime is 312113011261. The reversal of 312113011213 is 312110311213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284534762724 + 27578248489 = 533418^2 + 166067^2 .

It is a cyclic number.

It is not a de Polignac number, because 312113011213 - 29 = 312113010701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312113011313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056505606 + 156056505607.

It is an arithmetic number, because the mean of its divisors is an integer number (156056505607).

Almost surely, 2312113011213 is an apocalyptic number.

It is an amenable number.

312113011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312113011213 is an equidigital number, since it uses as much as digits as its factorization.

312113011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312113011213 its reverse (312110311213), we get a palindrome (624223322426).

The spelling of 312113011213 in words is "three hundred twelve billion, one hundred thirteen million, eleven thousand, two hundred thirteen".