Search a number
-
+
313042211413223 is a prime number
BaseRepresentation
bin100011100101101011101000…
…1110011111001110011100111
31112001101112122221200002021112
41013023113101303321303213
5312012340422110210343
63025441335005535235
7122636360552365235
oct10713272163716347
91461345587602245
10313042211413223
1190821502392796
122b13981727451b
13105899a533c006
1457434769d7955
15262ce2dc01218
hex11cb5d1cf9ce7

313042211413223 has 2 divisors, whose sum is σ = 313042211413224. Its totient is φ = 313042211413222.

The previous prime is 313042211413181. The next prime is 313042211413229. The reversal of 313042211413223 is 322314112240313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313042211413223 is a prime.

It is a super-2 number, since 2×3130422114132232 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313042211413223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313042211413229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156521105706611 + 156521105706612.

It is an arithmetic number, because the mean of its divisors is an integer number (156521105706612).

Almost surely, 2313042211413223 is an apocalyptic number.

313042211413223 is a deficient number, since it is larger than the sum of its proper divisors (1).

313042211413223 is an equidigital number, since it uses as much as digits as its factorization.

313042211413223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 313042211413223 its reverse (322314112240313), we get a palindrome (635356323653536).

The spelling of 313042211413223 in words is "three hundred thirteen trillion, forty-two billion, two hundred eleven million, four hundred thirteen thousand, two hundred twenty-three".