Search a number
-
+
313111013302259 is a prime number
BaseRepresentation
bin100011100110001011101011…
…0101110010001111111110011
31112001122010020212120011212222
41013030113112232101333303
5312020002323401133014
63025533114101111255
7122644344540655064
oct10714272656217763
91461563225504788
10313111013302259
11908486a9249307
122b14b0189b852b
131059331b4a3c63
14574692245256b
15262eb0904b08e
hex11cc5d6b91ff3

313111013302259 has 2 divisors, whose sum is σ = 313111013302260. Its totient is φ = 313111013302258.

The previous prime is 313111013302183. The next prime is 313111013302289. The reversal of 313111013302259 is 952203310111313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313111013302259 is a prime.

It is not a weakly prime, because it can be changed into another prime (313111013302289) 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, 156555506651129 + 156555506651130.

It is an arithmetic number, because the mean of its divisors is an integer number (156555506651130).

Almost surely, 2313111013302259 is an apocalyptic number.

313111013302259 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111013302259 is an equidigital number, since it uses as much as digits as its factorization.

313111013302259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 313111013302259 in words is "three hundred thirteen trillion, one hundred eleven billion, thirteen million, three hundred two thousand, two hundred fifty-nine".