Search a number
-
+
97135090960169 is a prime number
BaseRepresentation
bin10110000101100000000110…
…100101111000011100101001
3110201221000122111112001220202
4112011200012211320130221
5100212430131241211134
6542331124511201545
726313531051122033
oct2605400645703451
9421830574461822
1097135090960169
1128a4a8405a4329
12aa895215162b5
134227a52146442
1419db5135a2c53
15b36a8ed11d7e
hex585806978729

97135090960169 has 2 divisors, whose sum is σ = 97135090960170. Its totient is φ = 97135090960168.

The previous prime is 97135090960079. The next prime is 97135090960177. The reversal of 97135090960169 is 96106909053179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85462536714025 + 11672554246144 = 9244595^2 + 3416512^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97135090960169 is a prime.

It is a super-2 number, since 2×971350909601692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (97135090960469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48567545480084 + 48567545480085.

It is an arithmetic number, because the mean of its divisors is an integer number (48567545480085).

Almost surely, 297135090960169 is an apocalyptic number.

It is an amenable number.

97135090960169 is a deficient number, since it is larger than the sum of its proper divisors (1).

97135090960169 is an equidigital number, since it uses as much as digits as its factorization.

97135090960169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24800580, while the sum is 65.

The spelling of 97135090960169 in words is "ninety-seven trillion, one hundred thirty-five billion, ninety million, nine hundred sixty thousand, one hundred sixty-nine".