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 Back to the base (Posted on 2011-03-30)
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.

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 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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