Q: What three digit number whose digits are all odd and different has a sum of the three digits that is palindromic?

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a 8-digits palindromic number is a number consisting of a 4-digits number written and then written backward, i.e. 1234 4321 so there are as many palindromic 8-digits numbers as 4-digits numbers so from 1000 to 9999, so there are 8999 palindromic 8 digits number (I assumed that 00011000 is not to be considered as a valid 8 digit number)

585

To be a 3 digit palindromic number, it must be of the form aba.I assume that a 3 digit number must be at least 100 (so that 020 for example does not count as a 3 digit number):a can be any of the nine digits 1-9;for each of these b can be any of the ten digits 0-9Thus there are 9 x 10 = 90 three digit palindromic numbers.

-11

No.

There are 10 digits, but for a three digit number the first number cannot be a 0. Thus: there is a choice of 9 digits for the first (and last digit which must be the same), with 10 choices of digit for the second (middle) digit, making 9 × 10 = 90 such palindromic numbers.

1001 is the smallest 4 digit palindromic number.

102 is the smallest three digit number with different digits.

smallest 8 digit number with three different digits

Let the first and third digits be equal. Choose any other number as the second digit. 202, 919, etc.

Since there are only five different digits, a 6-digit number can only be generated if a digit can be repeated. If digits can be repeated, the smallest 6-digit number is 111111.

9,999,876 is the greatest seven-digit number using four different digits.

9876 is the largest four digit number you can make if all the digits must be different.

> 9999876 Actually, 9999876 has four different digits (6, 7, 8, 9). The largest 7-digit number with three different digits is 9999987.

Not necessarily. Consider 444. The digits are not different. The first and second digits are not multiples of 3 The first digit is not greater than the second digit. In spite of all that, 444 is a 3-digit number

The number is 222.

The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.

Any two digit number in which: (a) the units digit is not 0, and (b) the two digits are different will form a new 2-digit number when the digits are interchanged.

Yes.

123

3201

A palindromic number is the same forwards as backwards. In the case of a two-digit number, that means the two digits are the same: 11, 22, 33, 44, 55, 66, 77, 88, and 99. The only one that is prime is 11, since the others are all multiples of 11.

11

1001

98