213 (number)

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213 (two hundred [and] thirteen) is the number following 212 and preceding 214.

In mathematics

213 and the other permutations of its digits are the only three-digit number whose digit sums and digit products are equal.<ref>Template:Cite OEIS</ref> 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.<ref>Template:Cite OEIS</ref><ref>Template:Cite journal</ref>

As the product of the two distinct prime numbers 3 and 71, it is a semiprime, the first of a triple of three consecutive semiprimes 213, 214, and 215.<ref>Template:Cite OEIS</ref> Its square, 2132 = 45369, is one of only 15 known squares that can be represented as a sum of distinct factorials.<ref>Template:Cite OEIS</ref>

See also

References

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ca:Nombre 210#Nombres del 211 al 219