Search a number
-
+
31160606177 is a prime number
BaseRepresentation
bin11101000001010100…
…010001110111100001
32222102122011210202002
4131001110101313201
51002304103344202
622152011533345
72152121532221
oct350124216741
988378153662
1031160606177
1112240393698
12605775a255
132c2797590c
141718642081
15c25982302
hex741511de1

31160606177 has 2 divisors, whose sum is σ = 31160606178. Its totient is φ = 31160606176.

The previous prime is 31160606143. The next prime is 31160606179. The reversal of 31160606177 is 77160606113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19678197841 + 11482408336 = 140279^2 + 107156^2 .

It is an emirp because it is prime and its reverse (77160606113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31160606177 - 222 = 31156411873 is a prime.

It is a super-5 number, since 5×311606061775 (a number of 54 digits) contains 55555 as substring.

Together with 31160606179, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31160606177.

It is not a weakly prime, because it can be changed into another prime (31160606179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15580303088 + 15580303089.

It is an arithmetic number, because the mean of its divisors is an integer number (15580303089).

Almost surely, 231160606177 is an apocalyptic number.

It is an amenable number.

31160606177 is a deficient number, since it is larger than the sum of its proper divisors (1).

31160606177 is an equidigital number, since it uses as much as digits as its factorization.

31160606177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 31160606177 in words is "thirty-one billion, one hundred sixty million, six hundred six thousand, one hundred seventy-seven".