Search a number
-
+
313221022319 is a prime number
BaseRepresentation
bin1001000111011010110…
…11011000001001101111
31002221110220121112211102
410203231123120021233
520112434040203234
6355520341313315
731425623522042
oct4435533301157
91087426545742
10313221022319
11110922113027
125085510583b
13236c8c3843a
1411234da2c59
15823321dc7e
hex48ed6d826f

313221022319 has 2 divisors, whose sum is σ = 313221022320. Its totient is φ = 313221022318.

The previous prime is 313221022307. The next prime is 313221022339. The reversal of 313221022319 is 913220122313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313221022319 - 28 = 313221022063 is a prime.

It is a super-2 number, since 2×3132210223192 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 313221022291 and 313221022300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313221022339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156610511159 + 156610511160.

It is an arithmetic number, because the mean of its divisors is an integer number (156610511160).

Almost surely, 2313221022319 is an apocalyptic number.

313221022319 is a deficient number, since it is larger than the sum of its proper divisors (1).

313221022319 is an equidigital number, since it uses as much as digits as its factorization.

313221022319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 313221022319 in words is "three hundred thirteen billion, two hundred twenty-one million, twenty-two thousand, three hundred nineteen".