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225211110211 is a prime number
BaseRepresentation
bin1101000110111110100…
…0001101001101000011
3210112022100102210002001
43101233220031031003
512142213021011321
6251243251404431
722161640565023
oct3215750151503
9715270383061
10225211110211
118756988947a
12377928b3717
13183114cc979
14ac864dda83
155cd1947c91
hex346fa0d343

225211110211 has 2 divisors, whose sum is σ = 225211110212. Its totient is φ = 225211110210.

The previous prime is 225211110191. The next prime is 225211110247. The reversal of 225211110211 is 112011112522.

225211110211 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 is a cyclic number.

It is not a de Polignac number, because 225211110211 - 211 = 225211108163 is a prime.

It is not a weakly prime, because it can be changed into another prime (225211110281) 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, 112605555105 + 112605555106.

It is an arithmetic number, because the mean of its divisors is an integer number (112605555106).

Almost surely, 2225211110211 is an apocalyptic number.

225211110211 is a deficient number, since it is larger than the sum of its proper divisors (1).

225211110211 is an equidigital number, since it uses as much as digits as its factorization.

225211110211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 225211110211 its reverse (112011112522), we get a palindrome (337222222733).

The spelling of 225211110211 in words is "two hundred twenty-five billion, two hundred eleven million, one hundred ten thousand, two hundred eleven".