112
112 is a composite number, even, a calendar year.
112 (one hundred twelve) is an even 3-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 7. Its proper divisors sum to 136, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CXII and in binary, 1110000.
Interestingness
Historical context — 112 AD
Calendar year
Year 112 (CXII) was a leap year starting on Thursday of the Julian calendar.
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Historical context — 112 BC
Calendar year
Year 112 BC was a year of the pre-Julian Roman calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
- 52
- Started on
-
Friday
January 1, 112
- Ended on
-
Saturday
December 31, 112
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
110s
110–119
- Century
-
2nd century
101–200
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,914
1914 years before 2026.
In other calendars
- Hebrew
-
3872 / 3873 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
655 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
104 / 105 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
34 / 33 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 4 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112 = [10; (1, 1, 2, 1, 1, 20)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve
- Ordinal
- 112th
- Roman numeral
- CXII
- Binary
- 1110000
- Octal
- 160
- Hexadecimal
- 0x70
- Base64
- cA==
- One's complement
- 143 (8-bit)
- Scientific notation
- 1.12 × 10²
- As a duration
- 112 s = 1 minute, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ριβʹ
- Mayan (base 20)
- 𝋥·𝋬
- Chinese
- 一百一十二
- Chinese (financial)
- 壹佰壹拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 112 = 3
- e — Euler's number (e)
- Digit 112 = 2
- φ — Golden ratio (φ)
- Digit 112 = 5
- √2 — Pythagoras's (√2)
- Digit 112 = 0
- ln 2 — Natural log of 2
- Digit 112 = 0
- γ — Euler-Mascheroni (γ)
- Digit 112 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112, here are decompositions:
- 3 + 109 = 112
- 5 + 107 = 112
- 11 + 101 = 112
- 23 + 89 = 112
- 29 + 83 = 112
- 41 + 71 = 112
- 53 + 59 = 112
As an ASCII codepoint, 112 is p. Printable ASCII character p.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.112.
- Address
- 0.0.0.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.0.112
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 112 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A2 (110 Hz, +31¢)
- Scientific pitch (C4 = 256 Hz): A♯2 (114 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): A♯2 (109.9 Hz, +32¢)
As a MIDI note number, 112 is E8 (5274 Hz at concert pitch).
On the periodic table, atomic number 112 is Copernicium (Cn) — period 7.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.