perplexus.info :: Numbers : Palindromic and Tautonymic

Palindromic and Tautonymic (Posted on 2009-03-03)

Make a list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in this expression.

(A^B)/C + (D^E)/F + (G^H)/I

How many of these integers are palindromes? How many are tautonymic numbers?

Note:
A tautonymic number is one which can be divided into two equal non-palindromic halves, with each part having at least two different digits. For example, each of 3636, 5252, 6767, 276276 and 56635663 is a tautonymic number - but, none of 4444 and 555555 is a tautonymic number.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are 6 palindromes and 2 tautonymic numbers.

For an explanation, refer to the solution submitted by Charlie in this location.

---------------------------------------------

A list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in the given expression has also been provided by Charlie in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): for the actual first question	Charlie	2009-03-03 16:24:46
re: for the actual first question	Charlie	2009-03-03 16:22:08
for the actual first question	Charlie	2009-03-03 16:19:49
computer solution	Charlie	2009-03-03 14:07:14
Computer Solution	Daniel	2009-03-03 13:29:50

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