111111. Since there are six digits, there must be a repeated digit, so why not repeat all ones to get the smallest one.
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111111 Any 6 digit number less than that would require a 0, which is an even number.
Find a four digit number whose digits will be reversed when multiplied by nine?
1414 is apparently both a triangular number and the smallest triangular number with four digits. It is also the Decimal expansion of sqrt(2) truncated and rounded to 4 places. There are many other mathematically esoteric aspects of 1414 if you care to check them out. 1414 is the smallest number whose square contains 3 consecutive 9's.1414 is the smallest number whose square contains 3 consecutive 9's. from http://www.celsius1414.com/mathematics
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