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201221221009 is a prime number
BaseRepresentation
bin1011101101100110111…
…0000010101010010001
3201020101110020010210011
42323121232002222101
511244100113033014
6232234553034521
720352310105054
oct2733156025221
9636343203704
10201221221009
1178379151666
1232bb86b5a41
1315c8a333763
149a4c376a9b
15537a7a27c4
hex2ed9b82a91

201221221009 has 2 divisors, whose sum is σ = 201221221010. Its totient is φ = 201221221008.

The previous prime is 201221220979. The next prime is 201221221027. The reversal of 201221221009 is 900122122102.

201221221009 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., 109542464784 + 91678756225 = 330972^2 + 302785^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221221009 - 213 = 201221212817 is a prime.

It is not a weakly prime, because it can be changed into another prime (201221621009) 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, 100610610504 + 100610610505.

It is an arithmetic number, because the mean of its divisors is an integer number (100610610505).

Almost surely, 2201221221009 is an apocalyptic number.

It is an amenable number.

201221221009 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221221009 is an equidigital number, since it uses as much as digits as its factorization.

201221221009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 201221221009 in words is "two hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, nine".