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Back to the base (Posted on 2011-03-30) Difficulty: 3 of 5
A certain 10-base integer with distinct digits can be converted to base b by merely reversing its digits.
Find the lowest value of b.

See The Solution Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

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Solution solution | Comment 2 of 3 |
The smallest value for b would be 4.

The following is a list of base-10 numbers of two or more digits where each digit is distinct within its number and where there exists a reversal in a different base. The list excludes those numbers where the base-10 number ends with a zero, as a reversal then would have a leading zero.
   13   =   314
   23   =   327
   46   =   647
   43   =   3413
   86   =   6813
  834   =  43814
   53   =   3516
  371   =  17316
   21   =   1219
   42   =   2419
   63   =   3619
   84   =   4819
 9471   = 174919
  912   =  21921
   73   =   3722
   83   =   3825
   31   =   1328
   62   =   2628
   93   =   3928
  961   =  16928
   41   =   1437
   82   =   2837
   51   =   1546
   61   =   1655
   71   =   1764
   81   =   1873
   91   =   1982

  Posted by Dej Mar on 2011-03-30 13:15:20
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