Search a number
-
+
31100307697 is a prime number
BaseRepresentation
bin11100111101101110…
…010000100011110001
32222021102201022210001
4130331232100203301
51002143134321242
622142015310001
72150460153004
oct347556204361
988242638701
1031100307697
111220a349538
12603b51b301
132c18322b44
14171062753b
15c20520eb7
hex73db908f1

31100307697 has 2 divisors, whose sum is σ = 31100307698. Its totient is φ = 31100307696.

The previous prime is 31100307691. The next prime is 31100307701. The reversal of 31100307697 is 79670300113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24071832801 + 7028474896 = 155151^2 + 83836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31100307697 is a prime.

It is not a weakly prime, because it can be changed into another prime (31100307691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550153848 + 15550153849.

It is an arithmetic number, because the mean of its divisors is an integer number (15550153849).

Almost surely, 231100307697 is an apocalyptic number.

It is an amenable number.

31100307697 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100307697 is an equidigital number, since it uses as much as digits as its factorization.

31100307697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 37.

The spelling of 31100307697 in words is "thirty-one billion, one hundred million, three hundred seven thousand, six hundred ninety-seven".