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313320023129 is a prime number
BaseRepresentation
bin1001000111100110101…
…01000010010001011001
31002221201210220022102002
410203303111002101121
520113134411220004
6355534235250345
731431235153121
oct4436325022131
91087653808362
10313320023129
11110972a91883
12508822a99b5
13237135bc1b9
14112441b3c81
15823bc7761e
hex48f3542459

313320023129 has 2 divisors, whose sum is σ = 313320023130. Its totient is φ = 313320023128.

The previous prime is 313320023119. The next prime is 313320023143. The reversal of 313320023129 is 921320023313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258188983129 + 55131040000 = 508123^2 + 234800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313320023129 is a prime.

It is not a weakly prime, because it can be changed into another prime (313320023119) 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, 156660011564 + 156660011565.

It is an arithmetic number, because the mean of its divisors is an integer number (156660011565).

Almost surely, 2313320023129 is an apocalyptic number.

It is an amenable number.

313320023129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313320023129 is an equidigital number, since it uses as much as digits as its factorization.

313320023129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 313320023129 in words is "three hundred thirteen billion, three hundred twenty million, twenty-three thousand, one hundred twenty-nine".