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12212110093 is a prime number
BaseRepresentation
bin10110101111110011…
…00000001100001101
31011112002020110200211
423113321200030031
5200002300010333
65335443522421
7611425136341
oct132771401415
934462213624
1012212110093
1151a7466077
122449989411
1311c809bc61
1483bc73621
154b71bcecd
hex2d7e6030d

12212110093 has 2 divisors, whose sum is σ = 12212110094. Its totient is φ = 12212110092.

The previous prime is 12212110019. The next prime is 12212110109. The reversal of 12212110093 is 39001121221.

12212110093 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., 6159581289 + 6052528804 = 78483^2 + 77798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212110093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212110003) 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, 6106055046 + 6106055047.

It is an arithmetic number, because the mean of its divisors is an integer number (6106055047).

Almost surely, 212212110093 is an apocalyptic number.

It is an amenable number.

12212110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212110093 is an equidigital number, since it uses as much as digits as its factorization.

12212110093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 12212110093 in words is "twelve billion, two hundred twelve million, one hundred ten thousand, ninety-three".