Math, asked by divyanshi261, 1 year ago

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What is Palindrome Number ?

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Answered by nain31
2
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NUMBER WHOSE REVERSE OR MIRROR IMAGE IS SAME AS THE ORIGINAL NUMBER IS CALLED A PALINDROME NUMBER.

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Answered by janmayjaisolanki78
0
A palindromic number or numeral palindromeis a number that remains the same when its digits are reversed. Like 16461, for example, it is "symmetrical". The term palindromic is derived from palindrome, which refers to a word (such as rotor or racecar) whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers (in decimal) are:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, … (sequence A002113 in the OEIS).
Palindromic numbers receive most attention in the realm of recreational mathematics. A typical problem asks for numbers that possess a certain property and are palindromic. For instance:

The palindromic primes are 2, 3, 5, 7, 11, 101, 131, 151, … (sequence A002385 in the OEIS).

The palindromic square numbers are 0, 1, 4, 9, 121, 484, 676, 10201, 12321, … (sequence A002779 in the OEIS).

Buckminster Fuller identified a set of numbers he called Scheherazade numbers, some of which have a palindromic symmetry of digit groups.
It is fairly straightforward to appreciate (and prove) that in any base there are infinitely many palindromic numbers, since in any base the infinite sequence of numbers written (in that base) as 101, 1001, 10001, etc. (in which the nth number is a 1, followed by n zeros, followed by a 1) consists of palindromic numbers only.

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