In the four-digit number $ABCD$, different letters represent different positive digits. If $AB$ is divisible by $2$, $BC$ is divisible by $3$, $CD$ is divisible by $5$, $ABC$ is divisible by $9$, $BCD$ is divisible by $11$, what is the value of $ABCD$? 
Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules