In his will Ethan left all his money to his children in the following manner:

1. $1000 to the first born and one tenth of what then remains, then:
2. $2000 to the second born and one tenth of what then remains, then:
3. $3000 to the third born and one tenth of what then remains, and so on.....

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