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204302412314041 is a prime number
BaseRepresentation
bin101110011100111111011100…
…101101100111010110111001
3222210101010020101110001000011
4232130333130231213112321
5203234242320023022131
62002303122120541521
761014235142504656
oct5634773455472671
9883333211401004
10204302412314041
115a108191664488
121aab72146218a1
1389cc8338c3a72
14386440a60cc2d
1518945943b30b1
hexb9cfdcb675b9

204302412314041 has 2 divisors, whose sum is σ = 204302412314042. Its totient is φ = 204302412314040.

The previous prime is 204302412313997. The next prime is 204302412314071. The reversal of 204302412314041 is 140413214203402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198736686760000 + 5565725554041 = 14097400^2 + 2359179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204302412314041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204302412313994 and 204302412314012.

It is not a weakly prime, because it can be changed into another prime (204302412314071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102151206157020 + 102151206157021.

It is an arithmetic number, because the mean of its divisors is an integer number (102151206157021).

Almost surely, 2204302412314041 is an apocalyptic number.

It is an amenable number.

204302412314041 is a deficient number, since it is larger than the sum of its proper divisors (1).

204302412314041 is an equidigital number, since it uses as much as digits as its factorization.

204302412314041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 204302412314041 its reverse (140413214203402), we get a palindrome (344715626517443).

The spelling of 204302412314041 in words is "two hundred four trillion, three hundred two billion, four hundred twelve million, three hundred fourteen thousand, forty-one".