Search a number
-
+
31371123697 is a prime number
BaseRepresentation
bin11101001101110111…
…010101101111110001
32222222022022012111021
4131031313111233301
51003222001424242
622224532015441
72160256103014
oct351567255761
988868265437
1031371123697
11123391aa611
1260b6161581
132c5c4731b4
1417385a137b
15c391b7b67
hex74ddd5bf1

31371123697 has 2 divisors, whose sum is σ = 31371123698. Its totient is φ = 31371123696.

The previous prime is 31371123583. The next prime is 31371123703. The reversal of 31371123697 is 79632117313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27556332001 + 3814791696 = 166001^2 + 61764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31371123697 is a prime.

It is not a weakly prime, because it can be changed into another prime (31371123397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15685561848 + 15685561849.

It is an arithmetic number, because the mean of its divisors is an integer number (15685561849).

Almost surely, 231371123697 is an apocalyptic number.

It is an amenable number.

31371123697 is a deficient number, since it is larger than the sum of its proper divisors (1).

31371123697 is an equidigital number, since it uses as much as digits as its factorization.

31371123697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142884, while the sum is 43.

The spelling of 31371123697 in words is "thirty-one billion, three hundred seventy-one million, one hundred twenty-three thousand, six hundred ninety-seven".