Search a number
-
+
97112121161689 is a prime number
BaseRepresentation
bin10110000101001010101101…
…011111000011011111011001
3110201211211100200210102000201
4112011022231133003133121
5100212041111004133224
6542312405332502201
726312055615060364
oct2605125537033731
9421754320712021
1097112121161689
1128a410237627a7
12aa84b90a7a961
1342258313ccbca
1419da374ad70db
15b361984baa44
hex5852ad7c37d9

97112121161689 has 2 divisors, whose sum is σ = 97112121161690. Its totient is φ = 97112121161688.

The previous prime is 97112121161663. The next prime is 97112121161717. The reversal of 97112121161689 is 98616112121179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60655981358025 + 36456139803664 = 7788195^2 + 6037892^2 .

It is an emirp because it is prime and its reverse (98616112121179) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97112121161689 is a prime.

It is not a weakly prime, because it can be changed into another prime (97112121161789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48556060580844 + 48556060580845.

It is an arithmetic number, because the mean of its divisors is an integer number (48556060580845).

Almost surely, 297112121161689 is an apocalyptic number.

It is an amenable number.

97112121161689 is a deficient number, since it is larger than the sum of its proper divisors (1).

97112121161689 is an equidigital number, since it uses as much as digits as its factorization.

97112121161689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 653184, while the sum is 55.

The spelling of 97112121161689 in words is "ninety-seven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred sixty-one thousand, six hundred eighty-nine".