A ten-digit number contains every digit from 0 to 9. The digits are arranged so that the number formed by the first two digits, reading from left to right, is divisible by 2, the number formed by the first 3 digits is divisible by 3, the first 4 by 4, and so on until the whole number is divisible by 10.
What is the number? There are two digits that can be placed immediately. Which are they?
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