A number theory cryptogram

Logic Level 2

\[ \large \begin{array}{rr} & C \ A \ T \\ \times & C \ A \ T \\ \hline & B \ O \ B \ C \ A \ T \end{array} \]

The above shows a cryptogram such that each letter represents a distinct single non-negative integer.

Find \( B+O+C+A+T\).

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