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12223212101 is a prime number
BaseRepresentation
bin10110110001000111…
…10110101001000101
31011112212010111210022
423120203312221011
5200013120241401
65340521504525
7611621405612
oct133043665105
934485114708
1012223212101
115202759191
122451642145
1311ca4882a9
1483d523509
154b816271b
hex2d88f6a45

12223212101 has 2 divisors, whose sum is σ = 12223212102. Its totient is φ = 12223212100.

The previous prime is 12223212091. The next prime is 12223212103. The reversal of 12223212101 is 10121232221.

12223212101 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., 12099780001 + 123432100 = 109999^2 + 11110^2 .

It is an emirp because it is prime and its reverse (10121232221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223212101 is a prime.

Together with 12223212103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12223212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223212103) 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, 6111606050 + 6111606051.

It is an arithmetic number, because the mean of its divisors is an integer number (6111606051).

Almost surely, 212223212101 is an apocalyptic number.

It is an amenable number.

12223212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223212101 is an equidigital number, since it uses as much as digits as its factorization.

12223212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12223212101 its reverse (10121232221), we get a palindrome (22344444322).

The spelling of 12223212101 in words is "twelve billion, two hundred twenty-three million, two hundred twelve thousand, one hundred one".