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12221011849 is a prime number
BaseRepresentation
bin10110110000110110…
…11101011110001001
31011112200222201121111
423120123131132021
5200012034334344
65340402410321
7611563613104
oct133033353611
934480881544
1012221011849
1152014960a2
1224509609a1
1311c9b97977
1483d10d73b
154b7d7a834
hex2d86dd789

12221011849 has 2 divisors, whose sum is σ = 12221011850. Its totient is φ = 12221011848.

The previous prime is 12221011823. The next prime is 12221011871. The reversal of 12221011849 is 94811012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12170502400 + 50509449 = 110320^2 + 7107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221011849 is a prime.

It is a super-2 number, since 2×122210118492 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221011849.

It is not a weakly prime, because it can be changed into another prime (12221011349) 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, 6110505924 + 6110505925.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505925).

Almost surely, 212221011849 is an apocalyptic number.

It is an amenable number.

12221011849 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221011849 is an equidigital number, since it uses as much as digits as its factorization.

12221011849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 12221011849 in words is "twelve billion, two hundred twenty-one million, eleven thousand, eight hundred forty-nine".