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224112122009 is a prime number
BaseRepresentation
bin1101000010111000011…
…1111001100010011001
3210102110202111101200022
43100232013321202121
512132440200401014
6250542232320225
722122464414546
oct3205607714231
9712422441608
10224112122009
11870554a5366
1237526843075
13181979146a9
14abc0585bcd
155c6a211a8e
hex342e1f9899

224112122009 has 2 divisors, whose sum is σ = 224112122010. Its totient is φ = 224112122008.

The previous prime is 224112121999. The next prime is 224112122057. The reversal of 224112122009 is 900221211422.

224112122009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130427155609 + 93684966400 = 361147^2 + 306080^2 .

It is a cyclic number.

It is not a de Polignac number, because 224112122009 - 224 = 224095344793 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 (224112122209) 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, 112056061004 + 112056061005.

It is an arithmetic number, because the mean of its divisors is an integer number (112056061005).

Almost surely, 2224112122009 is an apocalyptic number.

It is an amenable number.

224112122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

224112122009 is an equidigital number, since it uses as much as digits as its factorization.

224112122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 224112122009 in words is "two hundred twenty-four billion, one hundred twelve million, one hundred twenty-two thousand, nine".