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3122811313 is a prime number
BaseRepresentation
bin1011101000100010…
…0101000110110001
322001122010020210021
42322020211012301
522343414430223
61233512403441
7140246313106
oct27210450661
98048106707
103122811313
1113628223a6
127319a6581
133a9c83c5b
14218a54aad
1513425265d
hexba2251b1

3122811313 has 2 divisors, whose sum is σ = 3122811314. Its totient is φ = 3122811312.

The previous prime is 3122811283. The next prime is 3122811331. The reversal of 3122811313 is 3131182213.

It is a happy number.

Together with next prime (3122811331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2475261504 + 647549809 = 49752^2 + 25447^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3122811313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3122811353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561405656 + 1561405657.

It is an arithmetic number, because the mean of its divisors is an integer number (1561405657).

Almost surely, 23122811313 is an apocalyptic number.

It is an amenable number.

3122811313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122811313 is an equidigital number, since it uses as much as digits as its factorization.

3122811313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 25.

The square root of 3122811313 is about 55882.1197969440. The cubic root of 3122811313 is about 1461.6674688781.

Adding to 3122811313 its reverse (3131182213), we get a palindrome (6253993526).

The spelling of 3122811313 in words is "three billion, one hundred twenty-two million, eight hundred eleven thousand, three hundred thirteen".