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205122293 is a prime number
BaseRepresentation
bin11000011100111…
…10101011110101
3112021222021212222
430032132223311
5410002403133
632204252125
75040340115
oct1416365365
9467867788
10205122293
11a5871462
1258841045
133365b94c
141d357045
151301be98
hexc39eaf5

205122293 has 2 divisors, whose sum is σ = 205122294. Its totient is φ = 205122292.

The previous prime is 205122283. The next prime is 205122329. The reversal of 205122293 is 392221502.

Together with next prime (205122329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200703889 + 4418404 = 14167^2 + 2102^2 .

It is a cyclic number.

It is not a de Polignac number, because 205122293 - 24 = 205122277 is a prime.

It is equal to p11346803 and since 205122293 and 11346803 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205122283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102561146 + 102561147.

It is an arithmetic number, because the mean of its divisors is an integer number (102561147).

Almost surely, 2205122293 is an apocalyptic number.

It is an amenable number.

205122293 is a deficient number, since it is larger than the sum of its proper divisors (1).

205122293 is an equidigital number, since it uses as much as digits as its factorization.

205122293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205122293 is about 14322.0910833579. The cubic root of 205122293 is about 589.7540802178.

Adding to 205122293 its reverse (392221502), we get a palindrome (597343795).

The spelling of 205122293 in words is "two hundred five million, one hundred twenty-two thousand, two hundred ninety-three".