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209499093217 is a prime number
BaseRepresentation
bin1100001100011100011…
…1100111100011100001
3202000202100111121200201
43003013013213203201
511413023231440332
6240124220345201
721064403624221
oct3030707474341
9660670447621
10209499093217
118093685a567
12347289a5201
13169a92c78ab
14a1d58d4081
1556b238a5e7
hex30c71e78e1

209499093217 has 2 divisors, whose sum is σ = 209499093218. Its totient is φ = 209499093216.

The previous prime is 209499093137. The next prime is 209499093259. The reversal of 209499093217 is 712390994902.

209499093217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120513816801 + 88985276416 = 347151^2 + 298304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-209499093217 is a prime.

It is not a weakly prime, because it can be changed into another prime (209499093317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104749546608 + 104749546609.

It is an arithmetic number, because the mean of its divisors is an integer number (104749546609).

Almost surely, 2209499093217 is an apocalyptic number.

It is an amenable number.

209499093217 is a deficient number, since it is larger than the sum of its proper divisors (1).

209499093217 is an equidigital number, since it uses as much as digits as its factorization.

209499093217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 209499093217 in words is "two hundred nine billion, four hundred ninety-nine million, ninety-three thousand, two hundred seventeen".