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312416633393 is a prime number
BaseRepresentation
bin1001000101111010111…
…10111000001000110001
31002212101212000100122222
410202331132320020301
520104312124232033
6355304444410425
731366655365604
oct4427536701061
91085355010588
10312416633393
1111054a054797
125066b846a15
13235cb3a9967
141119a21433b
1581d77cb598
hex48bd7b8231

312416633393 has 2 divisors, whose sum is σ = 312416633394. Its totient is φ = 312416633392.

The previous prime is 312416633371. The next prime is 312416633423. The reversal of 312416633393 is 393336614213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311489004544 + 927628849 = 558112^2 + 30457^2 .

It is a cyclic number.

It is not a de Polignac number, because 312416633393 - 236 = 243697156657 is a prime.

It is not a weakly prime, because it can be changed into another prime (312416633363) 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, 156208316696 + 156208316697.

It is an arithmetic number, because the mean of its divisors is an integer number (156208316697).

Almost surely, 2312416633393 is an apocalyptic number.

It is an amenable number.

312416633393 is a deficient number, since it is larger than the sum of its proper divisors (1).

312416633393 is an equidigital number, since it uses as much as digits as its factorization.

312416633393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 44.

The spelling of 312416633393 in words is "three hundred twelve billion, four hundred sixteen million, six hundred thirty-three thousand, three hundred ninety-three".