Search a number
-
+
12222220211101 is a prime number
BaseRepresentation
bin1011000111011011010100…
…0110000001001110011101
31121021102200112121110121101
42301312311012001032131
53100222101333223401
641554451020233101
72401012003441045
oct261666506011635
947242615543541
1012222220211101
11399246174952a
1214548b899b791
136a8720373564
143037b6ba4725
15162ddbec1101
hexb1db518139d

12222220211101 has 2 divisors, whose sum is σ = 12222220211102. Its totient is φ = 12222220211100.

The previous prime is 12222220211081. The next prime is 12222220211111. The reversal of 12222220211101 is 10111202222221.

12222220211101 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., 7822923708601 + 4399296502500 = 2796949^2 + 2097450^2 .

It is an emirp because it is prime and its reverse (10111202222221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12222220211101 - 229 = 12221683340189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222220211111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111110105550 + 6111110105551.

It is an arithmetic number, because the mean of its divisors is an integer number (6111110105551).

Almost surely, 212222220211101 is an apocalyptic number.

It is an amenable number.

12222220211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222220211101 is an equidigital number, since it uses as much as digits as its factorization.

12222220211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12222220211101 its reverse (10111202222221), we get a palindrome (22333422433322).

The spelling of 12222220211101 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, one hundred one".