What is the number of divisors of $n = 38808$ (excluding $1$ and $n$)?

Let $n$ be a non-negative integer. Then the number of divisors of the form $4n+1$ of the number $(10)^{10} \cdot (11)^{11} \cdot (13)^{13}$ is equal to $....$

The number of positive odd divisors of $216$ is

It is given that the number $43361$ can be written as a product of $two$ distinct prime numbers $p_1$ and $p_2$. Further,assume that there are $42900$ numbers which are less than $43361$ and are coprime to it. Then,the value of $p_1+p_2$ is

The greatest integer $r$ such that $30^{r}$ divides $30!$ is

The coefficient of $x^{10}$ in the expansion of $(1+x^2-x^3)^8$ is