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212000120002049 is a prime number
BaseRepresentation
bin110000001101000000011111…
…110110000101011000000001
31000210122000100212111220020012
4300031000133312011120001
5210241402221210031144
62030515302143354305
762440334414330321
oct6015003766053001
91023560325456205
10212000120002049
1161605822a004a5
121b93b0632b2995
13913a6aa7a65a2
143a4cc0951d281
1519799227b5e9e
hexc0d01fd85601

212000120002049 has 2 divisors, whose sum is σ = 212000120002050. Its totient is φ = 212000120002048.

The previous prime is 212000120002007. The next prime is 212000120002169. The reversal of 212000120002049 is 940200021000212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173449742881024 + 38550377121025 = 13170032^2 + 6208895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212000120002049 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000120002249) 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, 106000060001024 + 106000060001025.

It is an arithmetic number, because the mean of its divisors is an integer number (106000060001025).

Almost surely, 2212000120002049 is an apocalyptic number.

It is an amenable number.

212000120002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000120002049 is an equidigital number, since it uses as much as digits as its factorization.

212000120002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 212000120002049 in words is "two hundred twelve trillion, one hundred twenty million, two thousand, forty-nine".