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12221323141 is a prime number
BaseRepresentation
bin10110110000111001…
…01001011110000101
31011112201120112121211
423120130221132011
5200012124320031
65340413211421
7611566350466
oct133034513605
934481515554
1012221323141
115201688a65
122450a90b71
1311c9c76571
1483d190d6d
154b7ddcbb1
hex2d8729785

12221323141 has 2 divisors, whose sum is σ = 12221323142. Its totient is φ = 12221323140.

The previous prime is 12221322991. The next prime is 12221323151. The reversal of 12221323141 is 14132312221.

12221323141 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., 10819120225 + 1402202916 = 104015^2 + 37446^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221323141 - 221 = 12219225989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221323151) 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, 6110661570 + 6110661571.

It is an arithmetic number, because the mean of its divisors is an integer number (6110661571).

Almost surely, 212221323141 is an apocalyptic number.

It is an amenable number.

12221323141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221323141 is an equidigital number, since it uses as much as digits as its factorization.

12221323141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

Adding to 12221323141 its reverse (14132312221), we get a palindrome (26353635362).

The spelling of 12221323141 in words is "twelve billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred forty-one".