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There is a unique number of ten digits, for which the following holds:
* all digits from 0 up to 9 occur exactly once in the number;
* the first digits is divisible by 1;
* the number formed by the first two digits is divisible by 2;
* the number formed by the first three digits is divisible by 3;
* the number formed by the first four digits is divisible by 4;
* the number formed by the first five digits is divisible by 5;
* the number formed by the first six digits is divisible by 6;
* the number formed by the first seven digits is divisible by 7;
* the number formed by the first eight digits is divisible by 8;
* the number formed by the first nine digits is divisible by 9;
* the number formed by the ten digits is divisible by 10.
give the solution with details.
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