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3131408513 is a prime number
BaseRepresentation
bin1011101010100101…
…1000000010000001
322002020022000221002
42322221120002001
522403120033023
61234420541345
7140412350612
oct27251300201
98066260832
103131408513
111367664622
12734851855
133ab9a415c
14219c51c09
15134d9eb28
hexbaa58081

3131408513 has 2 divisors, whose sum is σ = 3131408514. Its totient is φ = 3131408512.

The previous prime is 3131408491. The next prime is 3131408521. The reversal of 3131408513 is 3158041313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2167181809 + 964226704 = 46553^2 + 31052^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131408513 - 212 = 3131404417 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131408543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565704256 + 1565704257.

It is an arithmetic number, because the mean of its divisors is an integer number (1565704257).

Almost surely, 23131408513 is an apocalyptic number.

It is an amenable number.

3131408513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131408513 is an equidigital number, since it uses as much as digits as its factorization.

3131408513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 3131408513 is about 55958.9895637868. The cubic root of 3131408513 is about 1463.0075790277.

Adding to 3131408513 its reverse (3158041313), we get a palindrome (6289449826).

The spelling of 3131408513 in words is "three billion, one hundred thirty-one million, four hundred eight thousand, five hundred thirteen".