Number base is very complex

In base $2$ , $2016_{10}=111 1110 0000_2$ .

In base $3$ , $2016_{10}=220 2200_3$

In base $4$ , $2016_{10}=13 3200_4$

In base $5$ , $2016_{10}=3 1031_5$

Find the smallest number (in base $10$ ) bigger than $1$ which has only $0$ s and $1$ s in its representation from base $2$ to base $5$ .