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213 (number)

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213 (number)

212 213 214
Cardinal two hundred thirteen
Ordinal 213th
(two hundred and thirteenth)
Factorization 3 × 71
Divisors 1, 3, 71, 213
Roman numeral CCXIII
Binary 110101012
Ternary 212203
Quaternary 31114
Quinary 13235
Senary 5536
Octal 3258
Duodecimal 15912
Hexadecimal D516
Vigesimal AD20
Base 36 5X36

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

It is the smallest of a triple consecutive numbers that are products of two distinct prime numbers: 213 = 3 × 71, 214 = 2 × 107, and 215 = 5 × 43.[1] Its square is a sum of distinct factorials: 2132 = 45369 = 1! + 2! + 3! + 7! + 8!.[2]

See also

References

  1. ^ "Sloane's A039833 : Smallest of three consecutive squarefree numbers n, n+1, n+2 of the form p*q where p and q are primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
  2. ^ "Sloane's A014597 : Numbers n such that n^2 is a sum of distinct factorials", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..


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