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12221310137 is a prime number
BaseRepresentation
bin10110110000111001…
…00110010010111001
31011112201112212210012
423120130212102321
5200012123411022
65340413031305
7611566264541
oct133034462271
934481485705
1012221310137
11520167a213
122450a85535
1311c9c7067a
1483d18a321
154b7dd8de2
hex2d87264b9

12221310137 has 2 divisors, whose sum is σ = 12221310138. Its totient is φ = 12221310136.

The previous prime is 12221310083. The next prime is 12221310151. The reversal of 12221310137 is 73101312221.

12221310137 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., 6408162601 + 5813147536 = 80051^2 + 76244^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221310137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221310187) 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, 6110655068 + 6110655069.

It is an arithmetic number, because the mean of its divisors is an integer number (6110655069).

Almost surely, 212221310137 is an apocalyptic number.

It is an amenable number.

12221310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221310137 is an equidigital number, since it uses as much as digits as its factorization.

12221310137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 12221310137 its reverse (73101312221), we get a palindrome (85322622358).

The spelling of 12221310137 in words is "twelve billion, two hundred twenty-one million, three hundred ten thousand, one hundred thirty-seven".