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313011202201 is a prime number
BaseRepresentation
bin1001000111000001110…
…10111110100010011001
31002220221021210120201221
410203200322332202121
520112021331432301
6355443444212041
731420465214425
oct4434072764231
91086837716657
10313011202201
11110824733075
12507b699a021
1323694623419
1411215185b85
15821eac4da1
hex48e0ebe899

313011202201 has 2 divisors, whose sum is σ = 313011202202. Its totient is φ = 313011202200.

The previous prime is 313011202193. The next prime is 313011202223. The reversal of 313011202201 is 102202110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236268905625 + 76742296576 = 486075^2 + 277024^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011202201 - 23 = 313011202193 is a prime.

It is not a weakly prime, because it can be changed into another prime (313011202241) 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, 156505601100 + 156505601101.

It is an arithmetic number, because the mean of its divisors is an integer number (156505601101).

Almost surely, 2313011202201 is an apocalyptic number.

It is an amenable number.

313011202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011202201 is an equidigital number, since it uses as much as digits as its factorization.

313011202201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 313011202201 its reverse (102202110313), we get a palindrome (415213312514).

The spelling of 313011202201 in words is "three hundred thirteen billion, eleven million, two hundred two thousand, two hundred one".