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204322984417 is a prime number
BaseRepresentation
bin1011111001001010011…
…0010101000111100001
3201112101121202001021101
42332102212111013201
511321423141000132
6233510434354401
720522212466056
oct2762246250741
9645347661241
10204322984417
117971aaa83a2
123372342ba01
1316362b28316
149c642ad02d
1554acc487e7
hex2f929951e1

204322984417 has 2 divisors, whose sum is σ = 204322984418. Its totient is φ = 204322984416.

The previous prime is 204322984363. The next prime is 204322984457. The reversal of 204322984417 is 714489223402.

204322984417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195473631376 + 8849353041 = 442124^2 + 94071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204322984417 is a prime.

It is a super-2 number, since 2×2043229844172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (204322984457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102161492208 + 102161492209.

It is an arithmetic number, because the mean of its divisors is an integer number (102161492209).

Almost surely, 2204322984417 is an apocalyptic number.

It is an amenable number.

204322984417 is a deficient number, since it is larger than the sum of its proper divisors (1).

204322984417 is an equidigital number, since it uses as much as digits as its factorization.

204322984417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 204322984417 in words is "two hundred four billion, three hundred twenty-two million, nine hundred eighty-four thousand, four hundred seventeen".