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101566106497 is a prime number
BaseRepresentation
bin101111010010111001…
…1111100101110000001
3100201011022112210111001
41132211303330232001
53131001410401442
6114354150052001
710223621442442
oct1364563745601
9321138483431
10101566106497
113a08a468099
121782634a001
13976810928b
144cb70512c9
1529969912b7
hex17a5cfcb81

101566106497 has 2 divisors, whose sum is σ = 101566106498. Its totient is φ = 101566106496.

The previous prime is 101566106459. The next prime is 101566106519. The reversal of 101566106497 is 794601665101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61231007601 + 40335098896 = 247449^2 + 200836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101566106497 is a prime.

It is a super-2 number, since 2×1015661064972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101566107497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50783053248 + 50783053249.

It is an arithmetic number, because the mean of its divisors is an integer number (50783053249).

Almost surely, 2101566106497 is an apocalyptic number.

It is an amenable number.

101566106497 is a deficient number, since it is larger than the sum of its proper divisors (1).

101566106497 is an equidigital number, since it uses as much as digits as its factorization.

101566106497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 101566106497 in words is "one hundred one billion, five hundred sixty-six million, one hundred six thousand, four hundred ninety-seven".