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12223440101 is a prime number
BaseRepresentation
bin10110110001001001…
…01110010011100101
31011112212120002112202
423120210232103211
5200013200040401
65340530424245
7611623345415
oct133044562345
934485502482
1012223440101
1152028a4514
122451732085
1311ca537cc2
1483d582645
154b81aa06b
hex2d892e4e5

12223440101 has 2 divisors, whose sum is σ = 12223440102. Its totient is φ = 12223440100.

The previous prime is 12223440083. The next prime is 12223440127. The reversal of 12223440101 is 10104432221.

12223440101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8032819876 + 4190620225 = 89626^2 + 64735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223440101 - 26 = 12223440037 is a prime.

It is a super-3 number, since 3×122234401013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223440701) 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, 6111720050 + 6111720051.

It is an arithmetic number, because the mean of its divisors is an integer number (6111720051).

Almost surely, 212223440101 is an apocalyptic number.

It is an amenable number.

12223440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223440101 is an equidigital number, since it uses as much as digits as its factorization.

12223440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12223440101 its reverse (10104432221), we get a palindrome (22327872322).

The spelling of 12223440101 in words is "twelve billion, two hundred twenty-three million, four hundred forty thousand, one hundred one".