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200114309 is a prime number
BaseRepresentation
bin10111110110110…
…00000010000101
3111221112212020002
423323120002011
5402212124214
631505051045
74646641433
oct1373300205
9457485202
10200114309
11a2a6092a
1257026a85
13325c7345
141c811d53
151287d1de
hexbed8085

200114309 has 2 divisors, whose sum is σ = 200114310. Its totient is φ = 200114308.

The previous prime is 200114287. The next prime is 200114311. The reversal of 200114309 is 903411002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196420225 + 3694084 = 14015^2 + 1922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200114309 is a prime.

Together with 200114311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200114339) 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, 100057154 + 100057155.

It is an arithmetic number, because the mean of its divisors is an integer number (100057155).

Almost surely, 2200114309 is an apocalyptic number.

It is an amenable number.

200114309 is a deficient number, since it is larger than the sum of its proper divisors (1).

200114309 is an equidigital number, since it uses as much as digits as its factorization.

200114309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 200114309 is about 14146.1764798832. The cubic root of 200114309 is about 584.9149402712.

The spelling of 200114309 in words is "two hundred million, one hundred fourteen thousand, three hundred nine".