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January 30th, 2011, 10:21 PM   #1
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What topic in math deals with reverse numbers?

What topic in math deals with the reversal of numbers. Say you have 123, the reversal of 123 would be 321. What math topic or Algebra topic deals with this? Thank you.

123 = 100+20+3
abc = 100a+10b+c
cba = 100c+10b+a

input --> a b c
output --> c b a

abcd...n_m where m is the mth integer in the string of numbers and n is the last number
in the example above m = 3 and n = 3. n is the mth number of 3 is the 3rd number in 123
in 232425 5 is the 6th number in the string 232425. m=6 and n=5

abcd...xyzn_m = 10^(m-1)a+10^(m-2)b+10^(m-3)c+10^(m-4)d+...+10^(3)x+10^(2)y+10^(1)z+n
nzyx...dcba_1. = 10^(m-1)n+10^(m-2)z+10^(m-3)y+10^(m-4)x+...+10^(3)d+10^(2)c+10^(1)b+a
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January 31st, 2011, 07:34 AM   #2
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If you are interested in 123 and 321 as numerical values, the number base (by default, 10) matters and I would be inclined to select number theory rather than algebra.
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January 31st, 2011, 07:52 AM   #3
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Re: What topic in math deals with reverse numbers?

You might be interested in the wikipedia entries on "palindromic numbers" and the "lychrel process"
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