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211817009 is a prime number
BaseRepresentation
bin11001010000000…
…01001000110001
3112202120102022102
430220001020301
5413211121014
633003550145
75151262205
oct1450011061
9482512272
10211817009
11a9624288
125ab2b355
1334b63c11
14201bab05
15138e08de
hexca01231

211817009 has 2 divisors, whose sum is σ = 211817010. Its totient is φ = 211817008.

The previous prime is 211816999. The next prime is 211817027. The reversal of 211817009 is 900718112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151413025 + 60403984 = 12305^2 + 7772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211817009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211817509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105908504 + 105908505.

It is an arithmetic number, because the mean of its divisors is an integer number (105908505).

Almost surely, 2211817009 is an apocalyptic number.

It is an amenable number.

211817009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211817009 is an equidigital number, since it uses as much as digits as its factorization.

211817009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 211817009 is about 14553.9344852174. The cubic root of 211817009 is about 596.1015856525.

The spelling of 211817009 in words is "two hundred eleven million, eight hundred seventeen thousand, nine".