Search a number
-
+
12221211109 is a prime number
BaseRepresentation
bin10110110000111000…
…01110000111100101
31011112201100211221111
423120130032013211
5200012112223414
65340410545021
7611565403042
oct133034160745
934481324844
1012221211109
115201611878
122450a38171
1311c9c37583
1483d1621c9
154b7db98c4
hex2d870e1e5

12221211109 has 2 divisors, whose sum is σ = 12221211110. Its totient is φ = 12221211108.

The previous prime is 12221211091. The next prime is 12221211151. The reversal of 12221211109 is 90111212221.

12221211109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (12221211091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8858950884 + 3362260225 = 94122^2 + 57985^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221211109 - 221 = 12219113957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12221211109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221211169) 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, 6110605554 + 6110605555.

It is an arithmetic number, because the mean of its divisors is an integer number (6110605555).

Almost surely, 212221211109 is an apocalyptic number.

It is an amenable number.

12221211109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221211109 is an equidigital number, since it uses as much as digits as its factorization.

12221211109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12221211109 in words is "twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred nine".