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202301310313 is a prime number
BaseRepresentation
bin1011110001101000011…
…0010000010101101001
3201100011201121100202201
42330122012100111221
511303303113412223
6232534055100201
720421133523344
oct2743206202551
9640151540681
10202301310313
11788828a7753
123325a371661
131610003285b
149b119b145b
1553e0503ead
hex2f1a190569

202301310313 has 2 divisors, whose sum is σ = 202301310314. Its totient is φ = 202301310312.

The previous prime is 202301310307. The next prime is 202301310319. The reversal of 202301310313 is 313013103202.

It is a balanced prime because it is at equal distance from previous prime (202301310307) and next prime (202301310319).

It can be written as a sum of positive squares in only one way, i.e., 146533543209 + 55767767104 = 382797^2 + 236152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202301310313 is a prime.

It is not a weakly prime, because it can be changed into another prime (202301310319) 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, 101150655156 + 101150655157.

It is an arithmetic number, because the mean of its divisors is an integer number (101150655157).

Almost surely, 2202301310313 is an apocalyptic number.

It is an amenable number.

202301310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202301310313 is an equidigital number, since it uses as much as digits as its factorization.

202301310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 202301310313 its reverse (313013103202), we get a palindrome (515314413515).

The spelling of 202301310313 in words is "two hundred two billion, three hundred one million, three hundred ten thousand, three hundred thirteen".