Let $m, n \in N$ and $\operatorname{gcd}(2, n)=1$, If
$$
30\binom{30}{0}+29\binom{30}{1}+\ldots+2\binom{30}{28}+1\binom{30}{29}=n \cdot 2^m
$$
then $n+m$ is equal to (Here $\binom{n}{k}={ }^n C_k$ )
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