What are the autobiographical numbers?

What are the autobiographical numbers?

Here is the formal definition: an autobiographical number is a number N such that the first digit of N counts how many zeroes are in N, the second digit counts how many ones are in N and so on. In our example, 1210 has 1 zero, 2 ones, 1 two and 0 threes.

What is the 10 digit autobiographical number?

In different bases

Base Self-descriptive numbers (sequence A138480 in the OEIS) Values in base 10 (sequence A108551 in the OEIS)
7 3211000 389305
8 42101000 8946176
9 521001000 225331713
10 6210001000 6210001000

What is a self aware number?

A self-descriptive number is an integer n in given base b is b digits long in which each digit at position p (the most significant digit being at position 0 and the least significant at position b – 1) counts how many times a digit p is in n. For example in base 10, 6210001000 is a self descriptive number.

What is a 10 digit number?

In the International number system, a 10-digit number is expressed by using commas just after every three digits from the right. The smallest 10-digit number is written as 1,000,000,000 and is called one billion.

What does 14233221 mean?

The number 14233221 describes itself. It has one four, two three’s, three two’s and two ones: Showerthoughts.

How do you solve a word jumble?

7 Tips to Solve Jumble Puzzles

  1. Tip 2: Try to find letters that often go together in words like “BR” or “TH”.
  2. Tip 3: Move the vowels and consonants apart.
  3. Tip 4: See if you can match certain consonants with vowels to make even a short word.

What is jumbled letter?

A jumbled letter problem is a type of puzzle where the letters in a word or group of words are not in the correct order. ” When they appear on tests or exams, your goal with these puzzles is to figure out the correct order of the words to form a correct sentence or correct word.

What is the 7 digit?

When we talk about 7-digit numbers, we mean the place values up to 1,000,000 or 10,00,000.

Why mobile no is 10 digit?

Thus, if phone numbers were to have 2 digits, how many different number combinations would be available? 10 x 10 = 100. In the same fashion, if phone numbers were to have 9 digits, this would only satisfy 1,000 million (100 crore) subscribers. Hence, the 10-digit mobile number.

How to find all autobiographical numbers with given number of digits?

An autobiographical number is a number such that the first digit of it counts how many zeroes are there in it, the second digit counts how many ones are there and so on. For example, 1210 has 1 zero, 2 ones, 1 two and 0 threes. Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Are there any autobiographical numbers in the OEIS?

Here is the full set of autobiographical numbers: 1210, 2020, 21200, 3211000, 42101000, 521001000, 6210001000. This is the sequence A104786 in the Online Encyclopedia of Integer Sequences (OEIS). The OEIS, where I first encountered the autobiographical numbers. Autobiographical numbers are very cute numbers.

What’s the shortest possible biography of a number?

I will call the shortest possible biography of a number the curriculum vitae and the longest possible biography the complete life story. The third problem is that numbers with the same digits in different permutations have the same biographies. So in a sense a biography follows the life not of a number, but rather the set of its digits.

How to print the maximum number of Carmichael numbers?

The program to print the maximum number of Carmichael number wins. Sample Output 561 1105 1729 2465 2821 6601 8911 . . . This generates 1332 Carmichael numbers in under 5 seconds. Remove the print to actually get ideone to run to completion.

https://www.youtube.com/watch?v=JgE1wNTXu6g