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133,122

133,122 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.).

133,122 (one hundred thirty-three thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 2,017. Its proper divisors sum to 157,470, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20802.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
221,331
Square (n²)
17,721,466,884
Cube (n³)
2,359,117,114,531,848
Divisor count
16
σ(n) — sum of divisors
290,592
φ(n) — Euler's totient
40,320
Sum of prime factors
2,033

Primality

Prime factorization: 2 × 3 × 11 × 2017

Nearest primes: 133,121 (−1) · 133,153 (+31)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 2017 · 4034 · 6051 · 12102 · 22187 · 44374 · 66561 (half) · 133122
Aliquot sum (sum of proper divisors): 157,470
Factor pairs (a × b = 133,122)
1 × 133122
2 × 66561
3 × 44374
6 × 22187
11 × 12102
22 × 6051
33 × 4034
66 × 2017
First multiples
133,122 · 266,244 (double) · 399,366 · 532,488 · 665,610 · 798,732 · 931,854 · 1,064,976 · 1,198,098 · 1,331,220

Sums & aliquot sequence

As consecutive integers: 44,373 + 44,374 + 44,375 33,279 + 33,280 + 33,281 + 33,282 12,097 + 12,098 + … + 12,107 11,088 + 11,089 + … + 11,099
Aliquot sequence: 133,122 157,470 235,650 349,134 349,146 571,878 667,230 1,005,474 1,024,638 1,024,650 2,216,214 4,557,546 7,116,534 8,680,338 12,228,462 14,946,018 15,077,118 — unresolved within range

Continued fraction of √n

√133,122 = [364; (1, 6, 11, 1, 1, 1, 2, 8, 1, 1, 10, 1, 1, 8, 2, 1, 1, 1, 11, 6, 1, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred twenty-two
Ordinal
133122nd
Binary
100000100000000010
Octal
404002
Hexadecimal
0x20802
Base64
AggC
One's complement
4,294,834,173 (32-bit)
Scientific notation
1.33122 × 10⁵
As a duration
133,122 s = 1 day, 12 hours, 58 minutes, 42 seconds
In other bases
ternary (3) 20202121110
quaternary (4) 200200002
quinary (5) 13224442
senary (6) 2504150
septenary (7) 1063053
nonary (9) 222543
undecimal (11) 91020
duodecimal (12) 65056
tridecimal (13) 48792
tetradecimal (14) 3672a
pentadecimal (15) 2969c
Palindromic in base 12, base 16

As an angle

133,122° = 369 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγρκβʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋢
Chinese
一十三萬三千一百二十二
Chinese (financial)
壹拾參萬參仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٣١٢٢ Devanagari १३३१२२ Bengali ১৩৩১২২ Tamil ௧௩௩௧௨௨ Thai ๑๓๓๑๒๒ Tibetan ༡༣༣༡༢༢ Khmer ១៣៣១២២ Lao ໑໓໓໑໒໒ Burmese ၁၃၃၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133122, here are decompositions:

  • 5 + 133117 = 133122
  • 13 + 133109 = 133122
  • 19 + 133103 = 133122
  • 53 + 133069 = 133122
  • 71 + 133051 = 133122
  • 83 + 133039 = 133122
  • 89 + 133033 = 133122
  • 109 + 133013 = 133122

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠂
CJK Unified Ideograph-20802
U+20802
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 82 (4 bytes).

Hex color
#020802
RGB(2, 8, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.2.

Address
0.2.8.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.2

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 133,122 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°.