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205106201 is a prime number
BaseRepresentation
bin11000011100110…
…10110000011001
3112021221110210222
430032122300121
5410001344301
632204045425
75040242156
oct1416326031
9467843728
10205106201
11a5860363
1258833875
1333654521
141d35122d
151301731b
hexc39ac19

205106201 has 2 divisors, whose sum is σ = 205106202. Its totient is φ = 205106200.

The previous prime is 205106191. The next prime is 205106219. The reversal of 205106201 is 102601502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189888400 + 15217801 = 13780^2 + 3901^2 .

It is a cyclic number.

It is not a de Polignac number, because 205106201 - 222 = 200911897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205106201.

It is not a weakly prime, because it can be changed into another prime (205106101) 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, 102553100 + 102553101.

It is an arithmetic number, because the mean of its divisors is an integer number (102553101).

Almost surely, 2205106201 is an apocalyptic number.

It is an amenable number.

205106201 is a deficient number, since it is larger than the sum of its proper divisors (1).

205106201 is an equidigital number, since it uses as much as digits as its factorization.

205106201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 205106201 is about 14321.5292828664. The cubic root of 205106201 is about 589.7386575956.

Adding to 205106201 its reverse (102601502), we get a palindrome (307707703).

The spelling of 205106201 in words is "two hundred five million, one hundred six thousand, two hundred one".