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212124109 is a prime number
BaseRepresentation
bin11001010010011…
…00000111001101
3112210011000120111
430221030013031
5413300432414
633014320021
75154011431
oct1451140715
9483130514
10212124109
11a9813a8a
125b059011
1334c40932
142025a9c1
15139518c4
hexca4c1cd

212124109 has 2 divisors, whose sum is σ = 212124110. Its totient is φ = 212124108.

The previous prime is 212124053. The next prime is 212124127. The reversal of 212124109 is 901421212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137992009 + 74132100 = 11747^2 + 8610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212124109 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212124109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212124149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106062054 + 106062055.

It is an arithmetic number, because the mean of its divisors is an integer number (106062055).

Almost surely, 2212124109 is an apocalyptic number.

It is an amenable number.

212124109 is a deficient number, since it is larger than the sum of its proper divisors (1).

212124109 is an equidigital number, since it uses as much as digits as its factorization.

212124109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 212124109 is about 14564.4810755481. The cubic root of 212124109 is about 596.3895297898.

The spelling of 212124109 in words is "two hundred twelve million, one hundred twenty-four thousand, one hundred nine".