213 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| 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.
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, the first of a triple of three consecutive semiprimes 213, 214, and 215.[4] Its square, 2132 = 45369, is one of only 15 known squares that can be represented as a sum of distinct factorials.[5]
See also
- 213 (disambiguation)
References
- ↑ Sloane, N. J. A., ed. "Sequence A034710 (Positive numbers for which the sum of digits equals the product of digits)". OEIS Foundation. https://oeis.org/A034710.
- ↑ Sloane, N. J. A., ed. "Sequence A011784 (Levine's sequence)". OEIS Foundation. https://oeis.org/A011784.
- ↑ "What's left?". Math Horizons 5 (4): 5–7. April 1998. doi:10.1080/10724117.1998.11975052.
- ↑ Sloane, N. J. A., ed. "Sequence A039833 (Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are primes)". OEIS Foundation. https://oeis.org/A039833.
- ↑ Sloane, N. J. A., ed. "Sequence A014597 (Numbers k such that k^2 is a sum of distinct factorials)". OEIS Foundation. https://oeis.org/A014597.
ca:Nombre 210#Nombres del 211 al 219
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