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212122993 is a prime number
BaseRepresentation
bin11001010010010…
…11110101110001
3112210010222001011
430221023311301
5413300413433
633014310521
75154005245
oct1451136561
9483128034
10212122993
11a9813165
125b058441
1334c40284
142025a425
15139513cd
hexca4bd71

212122993 has 2 divisors, whose sum is σ = 212122994. Its totient is φ = 212122992.

The previous prime is 212122949. The next prime is 212123003. The reversal of 212122993 is 399221212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169312144 + 42810849 = 13012^2 + 6543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122993 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061496 + 106061497.

It is an arithmetic number, because the mean of its divisors is an integer number (106061497).

Almost surely, 2212122993 is an apocalyptic number.

It is an amenable number.

212122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122993 is an equidigital number, since it uses as much as digits as its factorization.

212122993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The square root of 212122993 is about 14564.4427631132. The cubic root of 212122993 is about 596.3884839054.

The spelling of 212122993 in words is "two hundred twelve million, one hundred twenty-two thousand, nine hundred ninety-three".