Minimum of the Gamma Function

Consider the $\Gamma$ function defined on the positive real axis. Let $x_0$ be the $x$ -coordinate where $\Gamma (x)$ achieves its minimum (over the positive reals). Submit $\lfloor x_0*10^{10} \rfloor$ .

Note: Rigorously, $x_0 = \text{argmin} _{x>0} \Gamma (x)$ .