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205979341 is a prime number
BaseRepresentation
bin11000100011011…
…11111011001101
3112100120211112111
430101233323031
5410212314331
632234504021
75050536601
oct1421577315
9470524474
10205979341
11a62a7367
1258b95011
133389ba89
141d4db501
151313adb1
hexc46fecd

205979341 has 2 divisors, whose sum is σ = 205979342. Its totient is φ = 205979340.

The previous prime is 205979339. The next prime is 205979369. The reversal of 205979341 is 143979502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158231241 + 47748100 = 12579^2 + 6910^2 .

It is a cyclic number.

It is not a de Polignac number, because 205979341 - 21 = 205979339 is a prime.

It is a super-3 number, since 3×2059793413 (a number of 26 digits) contains 333 as substring.

Together with 205979339, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 205979294 and 205979303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205979311) 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, 102989670 + 102989671.

It is an arithmetic number, because the mean of its divisors is an integer number (102989671).

Almost surely, 2205979341 is an apocalyptic number.

It is an amenable number.

205979341 is a deficient number, since it is larger than the sum of its proper divisors (1).

205979341 is an equidigital number, since it uses as much as digits as its factorization.

205979341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 205979341 is about 14351.9803859955. The cubic root of 205979341 is about 590.5743148502.

The spelling of 205979341 in words is "two hundred five million, nine hundred seventy-nine thousand, three hundred forty-one".