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12221140177 is a prime number
BaseRepresentation
bin10110110000110111…
…11100110011010001
31011112201020020122101
423120123330303101
5200012102441202
65340405240401
7611564656201
oct133033746321
934481206571
1012221140177
115201573554
122450a03101
1311c9c111bc
1483d144401
154b7da3887
hex2d86fccd1

12221140177 has 2 divisors, whose sum is σ = 12221140178. Its totient is φ = 12221140176.

The previous prime is 12221140163. The next prime is 12221140201. The reversal of 12221140177 is 77104112221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12219975936 + 1164241 = 110544^2 + 1079^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221140177 - 219 = 12220615889 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221140147) 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, 6110570088 + 6110570089.

It is an arithmetic number, because the mean of its divisors is an integer number (6110570089).

Almost surely, 212221140177 is an apocalyptic number.

It is an amenable number.

12221140177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221140177 is an equidigital number, since it uses as much as digits as its factorization.

12221140177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 12221140177 its reverse (77104112221), we get a palindrome (89325252398).

The spelling of 12221140177 in words is "twelve billion, two hundred twenty-one million, one hundred forty thousand, one hundred seventy-seven".