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12220052101 is a prime number
BaseRepresentation
bin10110110000101111…
…10011001010000101
31011112122011222002021
423120113303022011
5200011313131401
65340330043141
7611552505025
oct133027631205
934478158067
1012220052101
1152009a0014
1224505794b1
1311c991cb7a
1483cd3da85
154b7c3b2a1
hex2d85f3285

12220052101 has 2 divisors, whose sum is σ = 12220052102. Its totient is φ = 12220052100.

The previous prime is 12220052087. The next prime is 12220052111. The reversal of 12220052101 is 10125002221.

It is a happy number.

12220052101 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., 11502348001 + 717704100 = 107249^2 + 26790^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220052101 - 27 = 12220051973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220052111) 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, 6110026050 + 6110026051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110026051).

Almost surely, 212220052101 is an apocalyptic number.

It is an amenable number.

12220052101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220052101 is an equidigital number, since it uses as much as digits as its factorization.

12220052101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12220052101 its reverse (10125002221), we get a palindrome (22345054322).

The spelling of 12220052101 in words is "twelve billion, two hundred twenty million, fifty-two thousand, one hundred one".