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What do you get when you convert 45 into a palindrome number?

What do you get when you convert 45 into a palindrome number?

Assuming a=1, b=1, c=2, we have 51122115, a 8-digit palindrome divisible by 45. Input N = 1 Output = 45 The list of one-digit numbers is [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 ] and each and every number is a palindrome in itself. So our ans equals (1+ 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0) = 45.

What are all palindromes divisible by?

11
All palindromes with an even number of digits are divisible by 11.

Is 8 a palindrome number?

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.

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Is 44 a palindrome?

The first few palindromic numbers are therefore are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, (OEIS A002113).

What is a palindrome divisible by 18?

Hence, the smallest palindrome divisible by 18 is \fbox{252}.

What is the palindrome of 98?

8,813,200,023,188
The 13-digit number 8,813,200,023,188 is the palindrome which results for both 89 and 98. There are eleven integers under 1,000 that require more than 24 steps before a palindrome is reached. Bennett and Nelson (1985) introduced palindromic decimals.

How do you create a palindrome number?

A palindrome can be generated by taking a previous palindrome, and adding the same number to the left and right side, so that is a starting point. Let’s say you start at 1 : Possible palindromes are obtained by adding each digit from 1:9 to the left and right: 111 212 313 …

What is Disarium number?

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A number is said to be the Disarium number when the sum of its digit raised to the power of their respective positions is equal to the number itself. For example, 175 is a Disarium number as follows. 11 + 72 + 53 = 1 + 49 + 125 = 175. Some of the other examples of Disarium number are 89, 135, 518 etc.

What is the palindromic number divisible by 45?

First of all, for a number to be divisible by 45 it should be divisible by 5 and 9 both. A number divisible by 5 has unit digits 0 or 5. Since we require a palindromic number, 0 as a unit digit is ruled out. Let the palindromic number be of the form 5abccba5 where a, b, c are integers less than or equal to 9.

Why is 45 a 7 digit number?

Now since it is divisible by 45 it has to be divisible by 9 and 5 which means the digit has to end with either 0 or 5. 3. The digit can’t end with zero because it is a palindrome and the first digit would have to be zero which makes it a 7 digit number.

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What number is divisible by 45?

First of all, for a number to be divisible by 45 it should be divisible by 5 and 9 both. A number divisible by 5 has unit digits 0 or 5. Since we require a palindromic number, 0 as a unit digit is ruled out.

What is a palindromic number?

Palindromic numbers are numbers which can be read the same forwards as backwards. For example, 247,742 is a palindromic number, as is 123,321. Any palindromic number which is an even number of digits is also divisible by 11.