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11 (eleven) is a positive integer following 10 and preceding 12. Its ordinal form is written "11th" or "eleventh".

Properties Edit

11 is an odd prime number.

11 is the first number which cannot be counted with a human's ten fingers, using each finger as a tally mark. In English, it is the smallest positive integer requiring three syllables and the largest prime number with a single-morpheme name. Its etymology originates from a Germanic compound ainlif meaning "one left".[1]

11 is the smallest non-trivial repdigit. Multiples of it up through 99 are also repdigits. 11 is a the first repunit number.

11 is also equal to \(n(2)\) in the block subsequence theorem.

11 is the largest known number n such that 2^n contains all even decimal digits. The decimal expansion of 2^11 is 2048, which contains all even digits. 2^n for all 11<n<1000000 contains at least one odd digit.

In googology Edit

11

In Greek-based number naming systems, 11 is associated with prefix "endeka-", and with prefix "undeci-" in Latin systems.

Wiki user Denis Maksudov coined the name zeralum for this number, and it's equal to \(f_0(10)\) using the fast-growing hierarchy.[2]

In popular culture Edit

  • The phrase "oh yeah" is spoken 11 times in the hit Yello song "Oh Yeah".

See also Edit

Sources Edit

  1. http://www.etymonline.com/index.php?term=eleven
  2. Traveling To The Infinity
Numbers by Denis Maksudov
Alpha series
Epsilon series
Epsilon(0)-addition series: Zeraddep · Unaddep · Baddep · Traddep · Quadraddep · Quintaddep · Sextaddep · Septaddep · Octaddep · Nonaddep · Dekaddep · Hektaddep · Kiladdep · Megaddep · Gigaddep · Teraddep · Petaddep · Exaddep · Zettaddep · Yottaddep
Epsilon(0)-multiplication series: Bultep · Trultep · Quadrultep · Quintultep · Sextultep · Septultep · Octultep · Nonultep · Dekultep · Hektultep · Kilultep · Megultep · Gigultep · Terultep · Petultep · Exultep · Zettultep · Yottultep
Epsilon(0)-exponentiation series: Bexep · Trexep · Quadrexep · Quintexep · Sextexep · Septexep · Octexep · Nonexep · Dekexep · Hektexep · Kilexep · Megexep · Gigexep · Terexep · Petexep · Exexep · Zettexep · Yottexep
Epsilon(0)-tetration series: Bitetrep · Tritetrep · Quadritetrep · Quintitetrep · Sextitetrep · Septitetrep · Octitetrep · Nonitetrep · Dekotetrep · Hektotetrep · Kilotetrep · Megotetrep · Gigotetrep · Terotetrep · Petotetrep · Exotetrep · Zettotetrep · Yottotetrep
Epsilon(1)-addition series: Unaddunep · Baddunep · Traddunep · Quadraddunep · Quintaddunep · Sextaddunep · Septaddunep · Octaddunep · Nonaddunep · Dekaddunep · Hektaddunep · Kiladdunep · Megaddunep · Gigaddunep · Teraddunep · Petaddunep · Exaddunep · Zettaddunep · Yottaddunep
Inserted epsilon series: Uninep · Binep · Trinep · Quadrinep · Quintinep · Sextinep · Septinep · Octinep · Noninep · Dekinep · Hektinep · Kilinep · Meginep · Giginep · Terinep · Petinep · Exinep · Zettinep · Yottinep
Inserted eta series
Phi series
\(I(\alpha,\beta)\) series
Initial \(I(\alpha,\beta)\) series: Unimah · Bimah · Trimah · Quadrimah · Quintimah · Sextimah · Septimah · Octimah · Nonimah · Dekimah · Hektimah · Kilimah · Megimah · Gigimah · Terimah · Petimah · Eximah · Zettimah · Yottimah
Inserted \(I(\alpha,\beta)\) series: Uninimah · Binimah · Trinimah · Quadrinimah · Quintinimah · Sextinimah · Septinimah · Octinimah · Noninimah · Dekinimah · Hektinimah · Kilinimah · Meginimah · Giginimah · Terinimah · Petinimah · Exinimah · Zettinimah · Yottinimah