Search a number
-
+
31010309137 is a prime number
BaseRepresentation
bin11100111000010110…
…111100010000010001
32222001011100220222001
4130320112330100101
51002002114343022
622125042314001
72145315164353
oct347026742021
988034326861
1031010309137
1112173569265
126015358901
132c027a1762
1417026bb0d3
15c17694b27
hex7385bc411

31010309137 has 2 divisors, whose sum is σ = 31010309138. Its totient is φ = 31010309136.

The previous prime is 31010309119. The next prime is 31010309149. The reversal of 31010309137 is 73190301013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30233906641 + 776402496 = 173879^2 + 27864^2 .

It is a cyclic number.

It is not a de Polignac number, because 31010309137 - 223 = 31001920529 is a prime.

It is not a weakly prime, because it can be changed into another prime (31010309177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15505154568 + 15505154569.

It is an arithmetic number, because the mean of its divisors is an integer number (15505154569).

Almost surely, 231010309137 is an apocalyptic number.

It is an amenable number.

31010309137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31010309137 is an equidigital number, since it uses as much as digits as its factorization.

31010309137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 28.

The spelling of 31010309137 in words is "thirty-one billion, ten million, three hundred nine thousand, one hundred thirty-seven".