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204107009 is a prime number
BaseRepresentation
bin11000010101001…
…10110100000001
3112020001201011212
430022212310001
5404222411014
632130415505
75025611111
oct1412466401
9466051155
10204107009
11a5238687
1258431595
13333947a2
141d171041
1512dbb23e
hexc2a6d01

204107009 has 2 divisors, whose sum is σ = 204107010. Its totient is φ = 204107008.

The previous prime is 204106999. The next prime is 204107011. The reversal of 204107009 is 900701402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202777600 + 1329409 = 14240^2 + 1153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204107009 is a prime.

It is a super-2 number, since 2×2041070092 = 83319342245852162, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 204107011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (204107909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102053504 + 102053505.

It is an arithmetic number, because the mean of its divisors is an integer number (102053505).

Almost surely, 2204107009 is an apocalyptic number.

It is an amenable number.

204107009 is a deficient number, since it is larger than the sum of its proper divisors (1).

204107009 is an equidigital number, since it uses as much as digits as its factorization.

204107009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 204107009 is about 14286.6024302491. The cubic root of 204107009 is about 588.7794445571.

The spelling of 204107009 in words is "two hundred four million, one hundred seven thousand, nine".