101 (number)

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100 101 102
Cardinal one hundred [and] one
Ordinal 101st
(one hundred [and] first)
Factorization prime
Prime 26th
Divisors 1, 101
Greek numeral ΡΑ´
Roman numeral CI, ci
Binary 11001012
Ternary 102023
Senary 2456
Octal 1458
Duodecimal 8512
Hexadecimal 6516

101 (one hundred [and] one) is the natural number following 100 and preceding 102.

Contents

It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an ordinal number, 101st (one hundred [and] first), rather than 101th, is the correct form.

101 is a prime number and the smallest integer above 100. It is also a palindromic number, and hence, a palindromic prime.

In mathematics

101 as the sum of three distinct nonzero squares Square-sum-101.png
101 as the sum of three distinct nonzero squares

101 is an alternating factorial, sexy prime a 101 is also the smallest number that can be expressed as the sum of three distinct nonzero squares in more than two ways: , or (see image). [1] [2]

For a 3-digit number in decimal, this number has a relatively simple divisibility test. The candidate number is split into groups of four, starting with the rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form , such as 707 and 808, then the number is divisible by 101. [3]

In books

According to Books in Print, more books are now published with a title that begins with '101' than '100'. They usually describe or discuss a list of items, such as 101 Ways to... or 101 Questions and Answers About... . This marketing tool is used to imply that the customer is given a little extra information beyond books that include only 100 items. Some books have taken this marketing scheme even further with titles that begin with '102', '103', or '1001'. The number is used in this context as a slang term when referring to "a 101 document" what is usually referred to as a statistical survey or overview of some topic.

In the book 1984 , written by George Orwell, Room 101 is a designated room used for torture by the Thought Police of Oceania, where the greatest fear known to the Thought Police is unleashed upon the victim.

In education

In American university course numbering systems, the number 101 is often used for an introductory course at a beginner's level in a department's subject area. [4] [5] [6] This common numbering system was designed to make transfer between colleges easier. It can also indicate a course for students not intending to major in the subject; e.g. a student intending to major in English would take English 111 not English 101.

In theory, any numbered course in one academic institution should bring a student to the same standard as a similarly numbered course at other institutions. [5] One of earliest such usages, perhaps the first, was by the University of Buffalo in 1929. [5] [6]

Based on this usage, the term "101" (pronounced /ˌwʌnˈwʌn/ WUN-oh-WUN) has gained a slang sense referring to basic knowledge of a topic or a collection of introductory materials to a topic, as in the sentence, "Boiling potatoes is Cooking 101". [6] The Oxford English Dictionary records the usage of "101" in this slang sense from 1986. [6]

In other fields

In public life:

In technology:

References

  1. Sloane, N. J. A. (ed.). "SequenceA025349(Numbers that are the sum of 3 distinct nonzero squares in 3 or more ways.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA025341(Numbers that are the sum of 3 distinct nonzero squares in exactly 3 ways.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. Renault, Marc (November 2006), "Stupid Divisibility Tricks 101 Ways to Stupefy Your Friends", Math Horizons, 14 (2): 18–21, 42, doi:10.1080/10724117.2006.11974676, JSTOR   25678653, S2CID   125269086
  4. Kovalchik, Kara (20 November 2013). "Why Are Introductory Classes Called '101'?". mentalfloss.com. Retrieved 30 September 2023.
  5. 1 2 3 Forest, J.J.F. (2002) Higher education in the United States: an encyclopedia p.73. ABC-CLIO. ISBN   1-57607-248-7. Retrieved October 2011
  6. 1 2 3 4 Engber, Daniel (6 September 2006). "101 101". Slate Magazine. Retrieved 9 May 2017.
  7. "Report a crime or antisocial behaviour – GOV.UK". direct.gov.uk. Retrieved 4 April 2018.
  8. Welcome to 101, Home Office , retrieved 5 April 2009