213 (number)
Natural number
From Wikipedia, the free encyclopedia
213 (two hundred [and] thirteen) is the number following 212 and preceding 214.
Cardinaltwo hundred thirteen
Ordinal213th
(two hundred thirteenth)
(two hundred thirteenth)
Factorization3 × 71
Divisors1, 3, 71, 213
| ||||
|---|---|---|---|---|
| Cardinal | two hundred thirteen | |||
| Ordinal | 213th (two hundred thirteenth) | |||
| Factorization | 3 × 71 | |||
| Divisors | 1, 3, 71, 213 | |||
| Greek numeral | ΣΙΓ´ | |||
| Roman numeral | CCXIII, ccxiii | |||
| Binary | 110101012 | |||
| Ternary | 212203 | |||
| Senary | 5536 | |||
| Octal | 3258 | |||
| Duodecimal | 15912 | |||
| Hexadecimal | D516 | |||
In mathematics
213 and the other permutations of its digits are the only three-digit number whose digit sums and digit products are equal.[1] It is a member of the quickly-growing Levine sequence, constructed from a triangle of numbers in which each row counts the copies of each value in the row below it.[2][3]
As the product of the two distinct prime numbers 3 and 71, it is a semiprime,[4] the first of a triple of three consecutive semiprimes 213, 214, and 215.[5] Its square, 2132 = 45369, is one of only 15 known squares that can be represented as a sum of distinct factorials.[6]
