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313301211029 is a prime number
BaseRepresentation
bin1001000111100100011…
…01010001011110010101
31002221200111111120001122
410203302031101132111
520113120102223104
6355532324133325
731430616232262
oct4436215213625
91087614446048
10313301211029
11110963402a94
1250877b37245
132370c733691
14112418b8269
15823a2ad6be
hex48f2351795

313301211029 has 2 divisors, whose sum is σ = 313301211030. Its totient is φ = 313301211028.

The previous prime is 313301210933. The next prime is 313301211127. The reversal of 313301211029 is 920112103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298629460900 + 14671750129 = 546470^2 + 121127^2 .

It is a cyclic number.

It is not a de Polignac number, because 313301211029 - 28 = 313301210773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313301210989 and 313301211007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313301214029) 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, 156650605514 + 156650605515.

It is an arithmetic number, because the mean of its divisors is an integer number (156650605515).

Almost surely, 2313301211029 is an apocalyptic number.

It is an amenable number.

313301211029 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301211029 is an equidigital number, since it uses as much as digits as its factorization.

313301211029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 313301211029 in words is "three hundred thirteen billion, three hundred one million, two hundred eleven thousand, twenty-nine".