## Task 2 - 140622

Klaus claims that a natural number $z$ written by him has the following properties:

(1) If two suitable digits of $z$ are swapped, the resulting number $z^{\prime}$ is 198 larger than $z$.

(2) The sum of $z$ and $z^{\prime}$ is 13776.

Determine whether there is exactly one number $z$ with the properties mentioned by Klaus! If this is the case, determine this number!