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209993117 is a prime number
BaseRepresentation
bin11001000010000…
…11110110011101
3112122010202101212
430201003312131
5412224234432
632500514205
75126624555
oct1441036635
9478122355
10209993117
11a8598a34
125a3ab965
13346759a9
141dc64165
15136802b2
hexc843d9d

209993117 has 2 divisors, whose sum is σ = 209993118. Its totient is φ = 209993116.

The previous prime is 209993107. The next prime is 209993141. The reversal of 209993117 is 711399902.

209993117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204661636 + 5331481 = 14306^2 + 2309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-209993117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (209993107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104996558 + 104996559.

It is an arithmetic number, because the mean of its divisors is an integer number (104996559).

Almost surely, 2209993117 is an apocalyptic number.

It is an amenable number.

209993117 is a deficient number, since it is larger than the sum of its proper divisors (1).

209993117 is an equidigital number, since it uses as much as digits as its factorization.

209993117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 209993117 is about 14491.1392581812. The cubic root of 209993117 is about 594.3857012348.

The spelling of 209993117 in words is "two hundred nine million, nine hundred ninety-three thousand, one hundred seventeen".