Father's will

A father in his will left all his money to his children in the following manner:

$\$1000$ to the first born and $\frac{1}{10}$ of what then remains, then $\$2000$ to the second born and $\frac{1}{10}$ of what then remains, then $\$3000$ to the third born and $\frac{1}{10}$ of what then remains, and so on.

When this was done each child had the same amount. How many children were there?