Search a number
-
+
31313310313837 is a prime number
BaseRepresentation
bin1110001111010101100101…
…01111001110110101101101
311002212112010102202012201211
413013222302233032311231
513101014124420020322
6150333045225034421
76411212010022366
oct707526257166555
9132775112665654
1031313310313837
119a8299a377012
123618890325a11
131461aa8ca7826
147a380259ab6d
153947e74eab77
hex1c7ab2bced6d

31313310313837 has 2 divisors, whose sum is σ = 31313310313838. Its totient is φ = 31313310313836.

The previous prime is 31313310313787. The next prime is 31313310313877. The reversal of 31313310313837 is 73831301331313.

It is an a-pointer prime, because the next prime (31313310313877) can be obtained adding 31313310313837 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30919260339081 + 394049974756 = 5560509^2 + 627734^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313310313837 - 215 = 31313310281069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31313310313837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31313310313877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656655156918 + 15656655156919.

It is an arithmetic number, because the mean of its divisors is an integer number (15656655156919).

Almost surely, 231313310313837 is an apocalyptic number.

It is an amenable number.

31313310313837 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313310313837 is an equidigital number, since it uses as much as digits as its factorization.

31313310313837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 31313310313837 in words is "thirty-one trillion, three hundred thirteen billion, three hundred ten million, three hundred thirteen thousand, eight hundred thirty-seven".