Pandigital Numbers and Their Properties

Brady Haran introduces pandigital numbers and calls a viewer with a pandigital phone number. Dr. James Grime explains the properties and types of pandigital numbers, including unique ones like zeroless and prime pandigital numbers. The video also discusses the smallest and largest pandigital numbers and their mathematical properties. The video concludes with a call to a viewer in the Netherlands and a sponsor message from Squarespace.

What is a pandigital number?

• A number that uses only even digits

• A number that uses every digit from 1 to 9 exactly once

• A number that repeats digits

• A number that uses only odd digits

Which of the following is true about the unique pandigital number 381,654,729?

• It repeats some digits

• It includes the digit zero

• Each of its first n digits is divisible by n

• It is divisible by 10

What is a zeroless pandigital number?

• A number that includes zero

• A number that excludes zero

• A number that repeats zero

• A number that starts with zero

What is the smallest pandigital number including zero?

• 1,234,567,890

• 1,234,567,890

• 1,023,456,789

• 1,000,000,000

Which of the following is a square pandigital number?

• 10,123,457,689

• 9,814,072,356

• 1,234,567,890

• 3,265,920

What is a prime pandigital number?

• A number that is not divisible by any number other than 1 and itself

• A number that is divisible by 3

• A number that is divisible by 2

• A number that includes zero

How many pandigital numbers can be formed using digits 1 to 9 without repetition?

• 1,000,000

• 3,265,920

• 10,000

• 362,880

In base 2, which numbers are not pandigital?

• Numbers that include one

• Numbers that include zero

• Numbers that are one less than a power of two

• Numbers that are powers of two

What is unique about Lara's phone number?

• It repeats some digits

• It is a pandigital number

• It starts with zero

• It includes only even digits

What is the discount code mentioned for Squarespace?

• numberphile5

• numberphile0

• numberphile10

• numberphile9