I1.2 Let $20112011=a P^{5}+b P^{4}+c P^{3}+d P^{2}+e P+f$, where $a, b, c, d, e$ and $f$ are integers and $0 \leq a$, $b, c, d, e, f<P$. If $Q=a+b+c+d+e+f$, find the value of $Q$.
$a=6, b=5, c=14, d=0, e=0, f=11 ; Q=6+5+14+0+0+11=36$