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313431144217 is a prime number
BaseRepresentation
bin1001000111110011111…
…00111011011100011001
31002222000112222211212221
410203321330323130121
520113401333103332
6355553245104041
731434054524242
oct4437174733431
91088015884787
10313431144217
11110a1a789794
12508b3558021
1323730627919
1411254c5bcc9
1582468c7297
hex48f9f3b719

313431144217 has 2 divisors, whose sum is σ = 313431144218. Its totient is φ = 313431144216.

The previous prime is 313431144197. The next prime is 313431144223. The reversal of 313431144217 is 712441134313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307443634576 + 5987509641 = 554476^2 + 77379^2 .

It is a cyclic number.

It is not a de Polignac number, because 313431144217 - 215 = 313431111449 is a prime.

It is not a weakly prime, because it can be changed into another prime (313431144017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156715572108 + 156715572109.

It is an arithmetic number, because the mean of its divisors is an integer number (156715572109).

Almost surely, 2313431144217 is an apocalyptic number.

It is an amenable number.

313431144217 is a deficient number, since it is larger than the sum of its proper divisors (1).

313431144217 is an equidigital number, since it uses as much as digits as its factorization.

313431144217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 34.

The spelling of 313431144217 in words is "three hundred thirteen billion, four hundred thirty-one million, one hundred forty-four thousand, two hundred seventeen".