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12211111117 is a prime number
BaseRepresentation
bin10110101111101011…
…01100010011001101
31011112000100201100201
423113311230103031
5200002021023432
65335410253501
7611413506022
oct132765542315
934460321321
1012211111117
1151a6943577
122449587291
1311c7b0c34a
1483ba93549
154b7071ee7
hex2d7d6c4cd

12211111117 has 2 divisors, whose sum is σ = 12211111118. Its totient is φ = 12211111116.

The previous prime is 12211111111. The next prime is 12211111163. The reversal of 12211111117 is 71111111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10763232516 + 1447878601 = 103746^2 + 38051^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211111117 - 223 = 12202722509 is a prime.

It is a super-2 number, since 2×122111111172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211111094 and 12211111103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105555558 + 6105555559.

It is an arithmetic number, because the mean of its divisors is an integer number (6105555559).

Almost surely, 212211111117 is an apocalyptic number.

It is an amenable number.

12211111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211111117 is an equidigital number, since it uses as much as digits as its factorization.

12211111117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28, while the sum is 19.

Adding to 12211111117 its reverse (71111111221), we get a palindrome (83322222338).

The spelling of 12211111117 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred seventeen".