# 102013

## 102,013 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 102013 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

102013 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 102013:

### 102013

See below for interesting mathematical facts about the number 102013 from the Numbermatics database.

### Names of 102013

• Cardinal: 102013 can be written as One hundred two thousand and thirteen.

### Scientific notation

• Scientific notation: 1.02013 × 105

### Factors of 102013

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 102013

### Divisors of 102013

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 102014
• Sum of proper divisors (its aliquot sum) s(n): 1
• 102013 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 102012

### Bases of 102013

• Binary: 110001110011111012
• Base-36: 26PP

### Squares and roots of 102013

• 102013 squared (1020132) is 10406652169
• 102013 cubed (1020133) is 1061613807716197
• The square root of 102013 is 319.3947400945
• The cube root of 102013 is 46.7252721755

### Scales and comparisons

How big is 102013?
• 102,013 seconds is equal to 1 day, 4 hours, 20 minutes, 13 seconds.
• To count from 1 to 102,013 would take you about four hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 102013 cubic inches would be around 3.9 feet tall.

### Recreational maths with 102013

• 102013 backwards is 310201
• The number of decimal digits it has is: 6
• The sum of 102013's digits is 7
• More coming soon!