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12000211193 is a prime number
BaseRepresentation
bin10110010110100010…
…01011000011111001
31010222022111220001102
423023101023003321
5144034023224233
65302434101145
7603243053315
oct131321130371
933868456042
1012000211193
1150a8896313
1223aaa1a7b5
1311932099a9
1481ba74b45
154a37b31e8
hex2cb44b0f9

12000211193 has 2 divisors, whose sum is σ = 12000211194. Its totient is φ = 12000211192.

The previous prime is 12000211169. The next prime is 12000211217. The reversal of 12000211193 is 39111200021.

12000211193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12000211169) and next prime (12000211217).

It can be written as a sum of positive squares in only one way, i.e., 7095029824 + 4905181369 = 84232^2 + 70037^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000211193 - 222 = 11996016889 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 (12000211103) 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, 6000105596 + 6000105597.

It is an arithmetic number, because the mean of its divisors is an integer number (6000105597).

Almost surely, 212000211193 is an apocalyptic number.

It is an amenable number.

12000211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000211193 is an equidigital number, since it uses as much as digits as its factorization.

12000211193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 12000211193 in words is "twelve billion, two hundred eleven thousand, one hundred ninety-three".