Search a number
-
+
31123312117 is a prime number
BaseRepresentation
bin11100111111000110…
…000000110111110101
32222100001000001220121
4130333012000313311
51002220031441432
622144200331541
72151156534202
oct347706006765
988301001817
1031123312117
1112221331057
126047173bb1
132c20018921
1417136d4ca9
15c22567197
hex73f180df5

31123312117 has 2 divisors, whose sum is σ = 31123312118. Its totient is φ = 31123312116.

The previous prime is 31123312081. The next prime is 31123312261. The reversal of 31123312117 is 71121332113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30979168081 + 144144036 = 176009^2 + 12006^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31123312117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31123312091 and 31123312100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123318117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561656058 + 15561656059.

It is an arithmetic number, because the mean of its divisors is an integer number (15561656059).

Almost surely, 231123312117 is an apocalyptic number.

It is an amenable number.

31123312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123312117 is an equidigital number, since it uses as much as digits as its factorization.

31123312117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 25.

The spelling of 31123312117 in words is "thirty-one billion, one hundred twenty-three million, three hundred twelve thousand, one hundred seventeen".