Number

116

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

Arithmetic Number Deficient Number Evil Number Flippable Recamán's Sequence Year

Historical context — 116 AD

Calendar year

Year 116 (CXVI) was a leap year starting on Tuesday of the Julian calendar.

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Historical context — 116 BC

Calendar year

Year 116 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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 116
Ended on: Thursday
December 31, 116
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 110s
110–119
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,910
1910 years before 2026.

In other calendars

Hebrew: 3876 / 3877 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 659 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 108 / 109 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 38 / 37 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 6
Digital root: 8
Palindrome: No
Bit width: 7 bits
Reversed: 611
Flips to (rotate 180°): 911
Recamán's sequence: a(168) = 116
Square (n²): 13,456
Cube (n³): 1,560,896
Divisor count: 6
σ(n) — sum of divisors: 210
φ(n) — Euler's totient: 56
Sum of prime factors: 33

Primality

Prime factorization: 2 ² × 29

Nearest primes: 113 (−3) · 127 (+11)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 29 · 58 (half) · 116

Aliquot sum (sum of proper divisors): 94

Factor pairs (a × b = 116)

1 × 116

2 × 58

4 × 29

First multiples

116 · 232 (double) · 348 · 464 · 580 · 696 · 812 · 928 · 1,044 · 1,160

Sums & aliquot sequence

As a sum of two squares: 4² + 10²

As consecutive integers: 11 + 12 + … + 18

Aliquot sequence: 116 → 94 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: one hundred sixteen
Ordinal: 116th
Roman numeral: CXVI
Binary: 1110100
Octal: 164
Hexadecimal: 0x74
Base64: dA==
One's complement: 139 (8-bit)

In other bases

ternary (3) 11022

quaternary (4) 1310

quinary (5) 431

senary (6) 312

septenary (7) 224

nonary (9) 138

undecimal (11) a6

duodecimal (12) 98

tridecimal (13) 8c

tetradecimal (14) 84

pentadecimal (15) 7b

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ριϛʹ
Mayan (base 20): 𝋥·𝋰
Chinese: 一百一十六
Chinese (financial): 壹佰壹拾陸

In other modern scripts

Eastern Arabic ١١٦ Devanagari ११६ Bengali ১১৬ Tamil ௧௧௬ Thai ๑๑๖ Tibetan ༡༡༦ Khmer ១១៦ Lao ໑໑໖ Burmese ၁၁၆

Digit at this position in famous constants

π — Pi (π): Digit 116 = 3
e — Euler's number (e): Digit 116 = 0
φ — Golden ratio (φ): Digit 116 = 8
√2 — Pythagoras's (√2): Digit 116 = 2
ln 2 — Natural log of 2: Digit 116 = 6
γ — Euler-Mascheroni (γ): Digit 116 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116, here are decompositions:

3 + 113 = 116
7 + 109 = 116
13 + 103 = 116
19 + 97 = 116
37 + 79 = 116
43 + 73 = 116

ASCII character

As an ASCII codepoint, 116 is t. Printable ASCII character t.

Hex color

#000074

RGB(0, 0, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.116.

Address: 0.0.0.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.116

Unspecified address (0.0.0.0/8) — "this network" placeholder.