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133,118

133,118 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.).

133,118 (one hundred thirty-three thousand one hundred eighteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 101 × 659. Written other ways, in hexadecimal, 0x207FE.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
811,331
Square (n²)
17,720,401,924
Cube (n³)
2,358,904,463,319,032
Divisor count
8
σ(n) — sum of divisors
201,960
φ(n) — Euler's totient
65,800
Sum of prime factors
762

Primality

Prime factorization: 2 × 101 × 659

Nearest primes: 133,117 (−1) · 133,121 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 101 · 202 · 659 · 1318 · 66559 (half) · 133118
Aliquot sum (sum of proper divisors): 68,842
Factor pairs (a × b = 133,118)
1 × 133118
2 × 66559
101 × 1318
202 × 659
First multiples
133,118 · 266,236 (double) · 399,354 · 532,472 · 665,590 · 798,708 · 931,826 · 1,064,944 · 1,198,062 · 1,331,180

Sums & aliquot sequence

As consecutive integers: 33,278 + 33,279 + 33,280 + 33,281 1,268 + 1,269 + … + 1,368 128 + 129 + … + 531
Aliquot sequence: 133,118 68,842 34,424 35,296 34,256 32,146 16,076 12,064 14,396 11,644 9,524 7,150 8,474 4,966 3,098 1,552 1,486 — unresolved within range

Continued fraction of √n

√133,118 = [364; (1, 5, 1, 4, 1, 1, 2, 3, 15, 4, 3, 38, 10, 3, 1, 42, 5, 1, 22, 1, 2, 2, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred eighteen
Ordinal
133118th
Binary
100000011111111110
Octal
403776
Hexadecimal
0x207FE
Base64
Agf+
One's complement
4,294,834,177 (32-bit)
Scientific notation
1.33118 × 10⁵
As a duration
133,118 s = 1 day, 12 hours, 58 minutes, 38 seconds
In other bases
ternary (3) 20202121022
quaternary (4) 200133332
quinary (5) 13224433
senary (6) 2504142
septenary (7) 1063046
nonary (9) 222538
undecimal (11) 91017
duodecimal (12) 65052
tridecimal (13) 4878b
tetradecimal (14) 36726
pentadecimal (15) 29698

As an angle

133,118° = 369 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγριηʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋲
Chinese
一十三萬三千一百一十八
Chinese (financial)
壹拾參萬參仟壹佰壹拾捌
In other modern scripts
Eastern Arabic ١٣٣١١٨ Devanagari १३३११८ Bengali ১৩৩১১৮ Tamil ௧௩௩௧௧௮ Thai ๑๓๓๑๑๘ Tibetan ༡༣༣༡༡༨ Khmer ១៣៣១១៨ Lao ໑໓໓໑໑໘ Burmese ၁၃၃၁၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133118, here are decompositions:

  • 31 + 133087 = 133118
  • 67 + 133051 = 133118
  • 79 + 133039 = 133118
  • 151 + 132967 = 133118
  • 157 + 132961 = 133118
  • 367 + 132751 = 133118
  • 379 + 132739 = 133118
  • 397 + 132721 = 133118

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟾
CJK Unified Ideograph-207Fe
U+207FE
Other letter (Lo)

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

Hex color
#0207FE
RGB(2, 7, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.254.

Address
0.2.7.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.254

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 133,118 and was likely granted around 1872.

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

Position in π

The digit sequence 133118 first appears in π at position 86,524 of the decimal expansion (the 86,524ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.