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312334331219 is a prime number
BaseRepresentation
bin1001000101110001001…
…00111010110101010011
31002212012010010222022022
410202320210322311103
520104130042044334
6355252344402055
731364636003561
oct4427044726523
91085163128268
10312334331219
11110507650969
125064817632b
13235b7321751
141118d30ca31
1581d047082e
hex48b893ad53

312334331219 has 2 divisors, whose sum is σ = 312334331220. Its totient is φ = 312334331218.

The previous prime is 312334331201. The next prime is 312334331227. The reversal of 312334331219 is 912133433213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312334331219 is a prime.

It is a super-2 number, since 2×3123343312192 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (312334331119) 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, 156167165609 + 156167165610.

It is an arithmetic number, because the mean of its divisors is an integer number (156167165610).

Almost surely, 2312334331219 is an apocalyptic number.

312334331219 is a deficient number, since it is larger than the sum of its proper divisors (1).

312334331219 is an equidigital number, since it uses as much as digits as its factorization.

312334331219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 35.

The spelling of 312334331219 in words is "three hundred twelve billion, three hundred thirty-four million, three hundred thirty-one thousand, two hundred nineteen".