Number Theory Level 4

$$\overline{{ABC0ABC}}$$ be a 7 digit number.

Let the number of values of $$\overline{{ABC0ABC}}$$ divisible by 11 be $$x$$.

Let the number of values of $$\overline{{ABC0ABC}}$$ divisible by 121 be $$y$$.

Let the number of values of $$\overline{{ABC0ABC}}$$ divisible by 1331 be $$z$$.

Then find the value of $$x+y+z$$.

Details and Assumptions

The letters A,B,C do not necessarily stand for distinct digit.

The fourth digit of the number is zero.

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