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12133333000193 is a prime number
BaseRepresentation
bin1011000010010000001100…
…0000001110000000000001
31120221221020211122022010212
42300210003000032000001
53042243031222001233
641445550511003505
72361414205554416
oct260440300160001
946857224568125
1012133333000193
113958799188349
12143b630809595
136a0225c5c182
142dd3839b410d
151609386a4a48
hexb090300e001

12133333000193 has 2 divisors, whose sum is σ = 12133333000194. Its totient is φ = 12133333000192.

The previous prime is 12133333000147. The next prime is 12133333000211. The reversal of 12133333000193 is 39100033333121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11277352763329 + 855980236864 = 3358177^2 + 925192^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133333000193 - 210 = 12133332999169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12133333200193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066666500096 + 6066666500097.

It is an arithmetic number, because the mean of its divisors is an integer number (6066666500097).

Almost surely, 212133333000193 is an apocalyptic number.

It is an amenable number.

12133333000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133333000193 is an equidigital number, since it uses as much as digits as its factorization.

12133333000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 32.

The spelling of 12133333000193 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred ninety-three", and thus it is an aban number.