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313121284129 is a prime number
BaseRepresentation
bin1001000111001110111…
…10111010000000100001
31002221012221221022202101
410203213132322000201
520112233022043004
6355502415450401
731423303000123
oct4434736720041
91087187838671
10313121284129
11110880890275
1250827826a01
13236b1386b64
1411225a3d213
1582295bbba4
hex48e77ba021

313121284129 has 2 divisors, whose sum is σ = 313121284130. Its totient is φ = 313121284128.

The previous prime is 313121284097. The next prime is 313121284163. The reversal of 313121284129 is 921482121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313107393600 + 13890529 = 559560^2 + 3727^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121284129 - 25 = 313121284097 is a prime.

It is not a weakly prime, because it can be changed into another prime (313121284199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560642064 + 156560642065.

It is an arithmetic number, because the mean of its divisors is an integer number (156560642065).

Almost surely, 2313121284129 is an apocalyptic number.

It is an amenable number.

313121284129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121284129 is an equidigital number, since it uses as much as digits as its factorization.

313121284129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 37.

The spelling of 313121284129 in words is "three hundred thirteen billion, one hundred twenty-one million, two hundred eighty-four thousand, one hundred twenty-nine".