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313110202121 is a prime number
BaseRepresentation
bin1001000111001101101…
…00101000011100001001
31002221012012002022002122
410203212310220130021
520112222202431441
6355501342141025
731423106543063
oct4434664503411
91087165068078
10313110202121
11110875601192
1250823b81775
13236abca6962
1411224396733
15822862d34b
hex48e6d28709

313110202121 has 2 divisors, whose sum is σ = 313110202122. Its totient is φ = 313110202120.

The previous prime is 313110202091. The next prime is 313110202169. The reversal of 313110202121 is 121202011313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299275737721 + 13834464400 = 547061^2 + 117620^2 .

It is a cyclic number.

It is not a de Polignac number, because 313110202121 - 218 = 313109939977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313110202121.

It is not a weakly prime, because it can be changed into another prime (313110201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555101060 + 156555101061.

It is an arithmetic number, because the mean of its divisors is an integer number (156555101061).

Almost surely, 2313110202121 is an apocalyptic number.

It is an amenable number.

313110202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313110202121 is an equidigital number, since it uses as much as digits as its factorization.

313110202121 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 17.

Adding to 313110202121 its reverse (121202011313), we get a palindrome (434312213434).

The spelling of 313110202121 in words is "three hundred thirteen billion, one hundred ten million, two hundred two thousand, one hundred twenty-one".