Search a number
-
+
221020320302209 is a prime number
BaseRepresentation
bin110010010000010001001101…
…101011100000010010000001
31001222120100002010202021222201
4302100101031223200102001
5212432144103444132314
62102023200004433201
764361122401660151
oct6220211553402201
91058510063667881
10221020320302209
116447321190606a
12209572760a8801
1396431856a19bc
143c81624d4a761
151a843a45c6b74
hexc9044dae0481

221020320302209 has 2 divisors, whose sum is σ = 221020320302210. Its totient is φ = 221020320302208.

The previous prime is 221020320302101. The next prime is 221020320302219. The reversal of 221020320302209 is 902203023020122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180171962524225 + 40848357777984 = 13422815^2 + 6391272^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020320302209 - 27 = 221020320302081 is a prime.

It is not a weakly prime, because it can be changed into another prime (221020320302219) 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, 110510160151104 + 110510160151105.

It is an arithmetic number, because the mean of its divisors is an integer number (110510160151105).

Almost surely, 2221020320302209 is an apocalyptic number.

It is an amenable number.

221020320302209 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020320302209 is an equidigital number, since it uses as much as digits as its factorization.

221020320302209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 221020320302209 in words is "two hundred twenty-one trillion, twenty billion, three hundred twenty million, three hundred two thousand, two hundred nine".