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133,116

133,116 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

133,116 (one hundred thirty-three thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,093. Its proper divisors sum to 177,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207FC.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
54
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
611,331
Square (n²)
17,719,869,456
Cube (n³)
2,358,798,142,504,896
Divisor count
12
σ(n) — sum of divisors
310,632
φ(n) — Euler's totient
44,368
Sum of prime factors
11,100

Primality

Prime factorization: 2 2 × 3 × 11093

Nearest primes: 133,109 (−7) · 133,117 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11093 · 22186 · 33279 · 44372 · 66558 (half) · 133116
Aliquot sum (sum of proper divisors): 177,516
Factor pairs (a × b = 133,116)
1 × 133116
2 × 66558
3 × 44372
4 × 33279
6 × 22186
12 × 11093
First multiples
133,116 · 266,232 (double) · 399,348 · 532,464 · 665,580 · 798,696 · 931,812 · 1,064,928 · 1,198,044 · 1,331,160

Sums & aliquot sequence

As consecutive integers: 44,371 + 44,372 + 44,373 16,636 + 16,637 + … + 16,643 5,535 + 5,536 + … + 5,558
Aliquot sequence: 133,116 177,516 271,296 531,344 592,096 573,656 501,964 390,060 907,236 1,713,564 2,618,036 1,963,534 1,155,074 577,540 656,252 497,908 373,438 — unresolved within range

Continued fraction of √n

√133,116 = [364; (1, 5, 1, 2, 3, 2, 7, 1, 19, 1, 29, 2, 4, 1, 2, 1, 1, 2, 1, 3, 1, 2, 2, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred sixteen
Ordinal
133116th
Binary
100000011111111100
Octal
403774
Hexadecimal
0x207FC
Base64
Agf8
One's complement
4,294,834,179 (32-bit)
Scientific notation
1.33116 × 10⁵
As a duration
133,116 s = 1 day, 12 hours, 58 minutes, 36 seconds
In other bases
ternary (3) 20202121020
quaternary (4) 200133330
quinary (5) 13224431
senary (6) 2504140
septenary (7) 1063044
nonary (9) 222536
undecimal (11) 91015
duodecimal (12) 65050
tridecimal (13) 48789
tetradecimal (14) 36724
pentadecimal (15) 29696

As an angle

133,116° = 369 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγριϛʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋰
Chinese
一十三萬三千一百一十六
Chinese (financial)
壹拾參萬參仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٣١١٦ Devanagari १३३११६ Bengali ১৩৩১১৬ Tamil ௧௩௩௧௧௬ Thai ๑๓๓๑๑๖ Tibetan ༡༣༣༡༡༦ Khmer ១៣៣១១៦ Lao ໑໓໓໑໑໖ Burmese ၁၃၃၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133116, here are decompositions:

  • 7 + 133109 = 133116
  • 13 + 133103 = 133116
  • 19 + 133097 = 133116
  • 29 + 133087 = 133116
  • 43 + 133073 = 133116
  • 47 + 133069 = 133116
  • 83 + 133033 = 133116
  • 103 + 133013 = 133116

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟼
CJK Unified Ideograph-207Fc
U+207FC
Other letter (Lo)

UTF-8 encoding: F0 A0 9F BC (4 bytes).

Hex color
#0207FC
RGB(2, 7, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.252.

Address
0.2.7.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.252

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,116 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.