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204140124213329 is a prime number
BaseRepresentation
bin101110011010101000010011…
…100101101001000001010001
3222202210121100020202022220102
4232122220103211221001101
5203224112433244311304
62002100402311422145
760666431403430133
oct5632502345510121
9882717306668812
10204140124213329
115a0553822183a7
121aa8b882684955
1389ba43c5ba1c5
14385a612c87053
151890246b04d1e
hexb9aa13969051

204140124213329 has 2 divisors, whose sum is σ = 204140124213330. Its totient is φ = 204140124213328.

The previous prime is 204140124213211. The next prime is 204140124213401. The reversal of 204140124213329 is 923312421041402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197798908810000 + 6341215403329 = 14064100^2 + 2518177^2 .

It is a cyclic number.

It is not a de Polignac number, because 204140124213329 - 228 = 204139855777873 is a prime.

It is a super-2 number, since 2×2041401242133292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204140124213292 and 204140124213301.

It is not a weakly prime, because it can be changed into another prime (204140124213629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102070062106664 + 102070062106665.

It is an arithmetic number, because the mean of its divisors is an integer number (102070062106665).

Almost surely, 2204140124213329 is an apocalyptic number.

It is an amenable number.

204140124213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

204140124213329 is an equidigital number, since it uses as much as digits as its factorization.

204140124213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 204140124213329 in words is "two hundred four trillion, one hundred forty billion, one hundred twenty-four million, two hundred thirteen thousand, three hundred twenty-nine".