$$N$$ is a positive integer with the property that if its last digit is taken and shifted to the first digit's place, the resulting number is $$2N$$. Assuming that the leading digit of $$N$$ cannot be zero, what is the minimum value of $$N$$.

Note :

1. Take number $$214$$, taking the last digit and shifting to first digit's place would result in $$412$$.

2. Even if $$51 \times 2$$ were $$105$$, it would be an invalid answer as $$51$$ should not be written as $$051$$.

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