Search a number
-
+
12220001089 is a prime number
BaseRepresentation
bin10110110000101111…
…00110101101000001
31011112122002101002221
423120113212231001
5200011310013324
65340325011041
7611552203222
oct133027465501
934478071087
1012220001089
11520096575a
122450553a81
1311c990289a
1483cd29249
154b7c2b0e4
hex2d85e6b41

12220001089 has 2 divisors, whose sum is σ = 12220001090. Its totient is φ = 12220001088.

The previous prime is 12220001083. The next prime is 12220001093. The reversal of 12220001089 is 98010002221.

12220001089 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., 11964640689 + 255360400 = 109383^2 + 15980^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220001089 - 217 = 12219870017 is a prime.

It is a super-2 number, since 2×122200010892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12220001083) 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, 6110000544 + 6110000545.

It is an arithmetic number, because the mean of its divisors is an integer number (6110000545).

Almost surely, 212220001089 is an apocalyptic number.

It is an amenable number.

12220001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220001089 is an equidigital number, since it uses as much as digits as its factorization.

12220001089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 12220001089 in words is "twelve billion, two hundred twenty million, one thousand, eighty-nine".