Search a number
-
+
31013312089 is a prime number
BaseRepresentation
bin11100111000100010…
…011001011001011001
32222001101000111020111
4130320202121121121
51002003401441324
622125230524321
72145352542334
oct347042313131
988041014214
1031013312089
111217522a441
1260163666a1
132c032b3556
141702c5d61b
15c17a89794
hex738899659

31013312089 has 2 divisors, whose sum is σ = 31013312090. Its totient is φ = 31013312088.

The previous prime is 31013312081. The next prime is 31013312093. The reversal of 31013312089 is 98021331013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30478176400 + 535135689 = 174580^2 + 23133^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013312089 - 23 = 31013312081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31013312089.

It is not a weakly prime, because it can be changed into another prime (31013312081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506656044 + 15506656045.

It is an arithmetic number, because the mean of its divisors is an integer number (15506656045).

Almost surely, 231013312089 is an apocalyptic number.

It is an amenable number.

31013312089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013312089 is an equidigital number, since it uses as much as digits as its factorization.

31013312089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 31013312089 in words is "thirty-one billion, thirteen million, three hundred twelve thousand, eighty-nine".