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12243113101 is a prime number
BaseRepresentation
bin10110110011011111…
…10001010010001101
31011121020120120211101
423121233301102031
5200033214104401
65342512223101
7612252513202
oct133157612215
934536516741
1012243113101
115212a1109a
12245823aa91
13120163562b
14842023ca9
154b9c94101
hex2d9bf148d

12243113101 has 2 divisors, whose sum is σ = 12243113102. Its totient is φ = 12243113100.

The previous prime is 12243113083. The next prime is 12243113111. The reversal of 12243113101 is 10131134221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11777675625 + 465437476 = 108525^2 + 21574^2 .

It is a cyclic number.

It is not a de Polignac number, because 12243113101 - 217 = 12242982029 is a prime.

It is a super-4 number, since 4×122431131014 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12243113111) 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, 6121556550 + 6121556551.

It is an arithmetic number, because the mean of its divisors is an integer number (6121556551).

Almost surely, 212243113101 is an apocalyptic number.

It is an amenable number.

12243113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12243113101 is an equidigital number, since it uses as much as digits as its factorization.

12243113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12243113101 its reverse (10131134221), we get a palindrome (22374247322).

The spelling of 12243113101 in words is "twelve billion, two hundred forty-three million, one hundred thirteen thousand, one hundred one".