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104166633217 is a prime number
BaseRepresentation
bin110000100000011010…
…0001010111100000001
3100221212112220020111111
41201000310022330001
53201313124230332
6115504204243321
710345226526133
oct1410064127401
9327775806444
10104166633217
11401a4392329
1218231240541
139a90b04b9a
14508258d053
152a99e27947
hex1840d0af01

104166633217 has 2 divisors, whose sum is σ = 104166633218. Its totient is φ = 104166633216.

The previous prime is 104166633199. The next prime is 104166633227. The reversal of 104166633217 is 712336661401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98344332801 + 5822300416 = 313599^2 + 76304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104166633217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104166633217.

It is not a weakly prime, because it can be changed into another prime (104166633227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52083316608 + 52083316609.

It is an arithmetic number, because the mean of its divisors is an integer number (52083316609).

Almost surely, 2104166633217 is an apocalyptic number.

It is an amenable number.

104166633217 is a deficient number, since it is larger than the sum of its proper divisors (1).

104166633217 is an equidigital number, since it uses as much as digits as its factorization.

104166633217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 104166633217 in words is "one hundred four billion, one hundred sixty-six million, six hundred thirty-three thousand, two hundred seventeen".