213 (number)

← 212 213 214 →
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Cardinal two hundred thirteen
Ordinal 213th
(two hundred thirteenth)
Factorization 3 × 71
Divisors 1, 3, 71, 213
Greek numeral ΣΙΓ´
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, N.J.A. (ed.). "Sequence 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, N.J.A. (ed.). "Sequence 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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