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# What is the sum of all 4 digit numbers that are the same when their digits are reversed?

Updated: 9/19/2023

Wiki User

13y ago

The sum of all palindromic numbers from 1001 to 9999 is 495000.

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13y ago

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Q: What is the sum of all 4 digit numbers that are the same when their digits are reversed?
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### How many four digit palindromic numbers are there?

The same as the number of two-digit numbers, since the last two digits must the same as the first two, only reversed. So I'll say there are 100 four-digit palindromes.

### How many four-digit palindromic numbers are there?

The same as the number of two-digit numbers, since the last two digits must the same as the first two, only reversed. So I'll say there are 100 four-digit palindromes.

### What is the largest number of eight digits with one of its digits 0 and remains the same when its digits are reversed?

An eight digit number with one zero cannot remain the same when its digits are reversed. It must have an even number of 0s.

987654

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### How many four digit numbers are there which have exactly the same two digits.?

Any pair of digits (not including 0), can be used to generate 14 four-digit numbers. If one of the digits is 0, only seven will start with a non-zero digit.

It is 987654321.

### How many 4-digit numbers are there in which the first and last digits are the same?

There are 900 of them.

### How many six digit numbers can be formed using the digits 0123456789 Example equals 123456 or 098765?

The number of six digit numbers that you can make from ten different digits ifrepetitions of same digit on the six digit number is allowed is 1 000 000 numbers(including number 000 000).If no repetitions of the the same digit are allowed then you have:10P6 = 10!/(10-6)! = 151 200 different six digit numbers(six digit permutations form 10 different digits).

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### How many 3 digit numbers have 2 of the same digits?

Exactly 2: 243 of them.

### How do you find exponents for 3-digit numbers?

The same way you kfind it for 2 &amp; 1 digits. :)