Number

112

112 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Heptagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

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

Parity: Even
Digit count: 3
Digit sum: 4
Digit product: 2
Digital root: 4
Palindrome: No
Bit width: 7 bits
Reversed: 211
Recamán's sequence: a(768) = 112
Square (n²): 12,544
Cube (n³): 1,404,928
Divisor count: 10
σ(n) — sum of divisors: 248
φ(n) — Euler's totient: 48
Sum of prime factors: 15

Primality

Prime factorization: 2 ⁴ × 7

Nearest primes: 109 (−3) · 113 (+1)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 (half) · 112

Aliquot sum (sum of proper divisors): 136

Factor pairs (a × b = 112)

1 × 112

2 × 56

4 × 28

7 × 16

8 × 14

First multiples

112 · 224 (double) · 336 · 448 · 560 · 672 · 784 · 896 · 1,008 · 1,120

Sums & aliquot sequence

As consecutive integers: 13 + 14 + … + 19

Aliquot sequence: 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 11011

quaternary (4) 1300

quinary (5) 422

senary (6) 304

septenary (7) 220

nonary (9) 134

undecimal (11) a2

duodecimal (12) 94

tridecimal (13) 88

tetradecimal (14) 80

pentadecimal (15) 77

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

In other modern scripts

Eastern Arabic ١١٢ Devanagari ११२ Bengali ১১২ Tamil ௧௧௨ Thai ๑๑๒ Tibetan ༡༡༢ Khmer ១១២ Lao ໑໑໒ Burmese ၁၁၂

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 decomposition

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

ASCII character

As an ASCII codepoint, 112 is p. Printable ASCII character p.

Hex color

#000070

RGB(0, 0, 112)

IPv4 address

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.