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205132349 is a prime number
BaseRepresentation
bin11000011101000…
…01001000111101
3112021222210200102
430032201020331
5410003213344
632204410445
75040411332
oct1416411075
9467883612
10205132349
11a5878a74
1258846a25
13336633b6
141d35a989
151301ee4e
hexc3a123d

205132349 has 2 divisors, whose sum is σ = 205132350. Its totient is φ = 205132348.

The previous prime is 205132289. The next prime is 205132351. The reversal of 205132349 is 943231502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187197124 + 17935225 = 13682^2 + 4235^2 .

It is a cyclic number.

It is not a de Polignac number, because 205132349 - 224 = 188355133 is a prime.

Together with 205132351, 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 (205132649) 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, 102566174 + 102566175.

It is an arithmetic number, because the mean of its divisors is an integer number (102566175).

Almost surely, 2205132349 is an apocalyptic number.

It is an amenable number.

205132349 is a deficient number, since it is larger than the sum of its proper divisors (1).

205132349 is an equidigital number, since it uses as much as digits as its factorization.

205132349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 205132349 is about 14322.4421451092. The cubic root of 205132349 is about 589.7637175095.

The spelling of 205132349 in words is "two hundred five million, one hundred thirty-two thousand, three hundred forty-nine".