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8381077110137 is a prime number
BaseRepresentation
bin111100111110101111100…
…0111111011110101111001
31002200020000200012100221102
41321331133013323311321
52044303421220011022
625454114053021145
71523340622003154
oct171753707736571
932606020170842
108381077110137
112741438597386
12b343859247b5
1348a441a52944
1420d90961ac9b
15e8027456a92
hex79f5f1fbd79

8381077110137 has 2 divisors, whose sum is σ = 8381077110138. Its totient is φ = 8381077110136.

The previous prime is 8381077110041. The next prime is 8381077110163. The reversal of 8381077110137 is 7310117701838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7750761792361 + 630315317776 = 2784019^2 + 793924^2 .

It is a cyclic number.

It is not a de Polignac number, because 8381077110137 - 218 = 8381076847993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8381077110091 and 8381077110100.

It is not a weakly prime, because it can be changed into another prime (8381077190137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4190538555068 + 4190538555069.

It is an arithmetic number, because the mean of its divisors is an integer number (4190538555069).

Almost surely, 28381077110137 is an apocalyptic number.

It is an amenable number.

8381077110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

8381077110137 is an equidigital number, since it uses as much as digits as its factorization.

8381077110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 47.

The spelling of 8381077110137 in words is "eight trillion, three hundred eighty-one billion, seventy-seven million, one hundred ten thousand, one hundred thirty-seven".