Search a number
-
+
31112404009 is a prime number
BaseRepresentation
bin11100111110011100…
…011001110000101001
32222022021110212210121
4130332130121300221
51002204233412014
622143130443241
72150665033141
oct347634316051
988267425717
1031112404009
1112216160695
126043593521
132c1a99991b
141712095921
15c21610124
hex73e719c29

31112404009 has 2 divisors, whose sum is σ = 31112404010. Its totient is φ = 31112404008.

The previous prime is 31112403967. The next prime is 31112404067. The reversal of 31112404009 is 90040421113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17168336784 + 13944067225 = 131028^2 + 118085^2 .

It is an emirp because it is prime and its reverse (90040421113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31112404009 - 213 = 31112395817 is a prime.

It is not a weakly prime, because it can be changed into another prime (31112404079) 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, 15556202004 + 15556202005.

It is an arithmetic number, because the mean of its divisors is an integer number (15556202005).

Almost surely, 231112404009 is an apocalyptic number.

It is an amenable number.

31112404009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31112404009 is an equidigital number, since it uses as much as digits as its factorization.

31112404009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 31112404009 in words is "thirty-one billion, one hundred twelve million, four hundred four thousand, nine".