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205240330201 is a prime number
BaseRepresentation
bin1011111100100101000…
…1101110011111011001
3201121202112220001010011
42333021101232133121
511330313011031301
6234141444321521
720554022010424
oct2771121563731
9647675801104
10205240330201
117a0508a7905
123393a6a32a1
131647abb5c8a
149d100629bb
15551354ea51
hex2fc946e7d9

205240330201 has 2 divisors, whose sum is σ = 205240330202. Its totient is φ = 205240330200.

The previous prime is 205240330153. The next prime is 205240330223. The reversal of 205240330201 is 102033042502.

It is an a-pointer prime, because the next prime (205240330223) can be obtained adding 205240330201 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198951681600 + 6288648601 = 446040^2 + 79301^2 .

It is a cyclic number.

It is not a de Polignac number, because 205240330201 - 219 = 205239805913 is a prime.

It is not a weakly prime, because it can be changed into another prime (205240330231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102620165100 + 102620165101.

It is an arithmetic number, because the mean of its divisors is an integer number (102620165101).

Almost surely, 2205240330201 is an apocalyptic number.

It is an amenable number.

205240330201 is a deficient number, since it is larger than the sum of its proper divisors (1).

205240330201 is an equidigital number, since it uses as much as digits as its factorization.

205240330201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 205240330201 its reverse (102033042502), we get a palindrome (307273372703).

The spelling of 205240330201 in words is "two hundred five billion, two hundred forty million, three hundred thirty thousand, two hundred one".