We call a number palindromic if it doesn\textquotesingle t change after its digits are written in reverse order. Some examples of such numbers are $$1331$$ and $$24642$$. A certain car\textquotesingle s odometer shows $$15951$$ kilometers. After how many more kilometers will a palindromic number show up on the odometer again? (2007 Math Kangaroo Problem, Level 3-4, Question \#18) 
选项为:A:after $$100$$ km  B:after $$110$$ km  C:after $$710$$ km  D:after $$900$$ km  E:after $$1010$$ km  请回答其中一个选项.