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133,132

133,132 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.).

133,132 (one hundred thirty-three thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 83 × 401. Written other ways, in hexadecimal, 0x2080C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
54
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
231,331
Square (n²)
17,724,129,424
Cube (n³)
2,359,648,798,475,968
Divisor count
12
σ(n) — sum of divisors
236,376
φ(n) — Euler's totient
65,600
Sum of prime factors
488

Primality

Prime factorization: 2 2 × 83 × 401

Nearest primes: 133,121 (−11) · 133,153 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 83 · 166 · 332 · 401 · 802 · 1604 · 33283 · 66566 (half) · 133132
Aliquot sum (sum of proper divisors): 103,244
Factor pairs (a × b = 133,132)
1 × 133132
2 × 66566
4 × 33283
83 × 1604
166 × 802
332 × 401
First multiples
133,132 · 266,264 (double) · 399,396 · 532,528 · 665,660 · 798,792 · 931,924 · 1,065,056 · 1,198,188 · 1,331,320

Sums & aliquot sequence

As consecutive integers: 16,638 + 16,639 + … + 16,645 1,563 + 1,564 + … + 1,645 132 + 133 + … + 532
Aliquot sequence: 133,132 103,244 81,220 96,188 74,332 55,756 44,036 34,504 33,896 33,304 32,216 28,204 25,724 20,476 15,364 12,860 14,188 — unresolved within range

Continued fraction of √n

√133,132 = [364; (1, 6, 1, 5, 1, 1, 2, 1, 1, 17, 4, 1, 1, 1, 1, 1, 3, 3, 1, 5, 1, 1, 9, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred thirty-two
Ordinal
133132nd
Binary
100000100000001100
Octal
404014
Hexadecimal
0x2080C
Base64
AggM
One's complement
4,294,834,163 (32-bit)
Scientific notation
1.33132 × 10⁵
As a duration
133,132 s = 1 day, 12 hours, 58 minutes, 52 seconds
In other bases
ternary (3) 20202121211
quaternary (4) 200200030
quinary (5) 13230012
senary (6) 2504204
septenary (7) 1063066
nonary (9) 222554
undecimal (11) 9102a
duodecimal (12) 65064
tridecimal (13) 4879c
tetradecimal (14) 36736
pentadecimal (15) 296a7

As an angle

133,132° = 369 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγρλβʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋬
Chinese
一十三萬三千一百三十二
Chinese (financial)
壹拾參萬參仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣١٣٢ Devanagari १३३१३२ Bengali ১৩৩১৩২ Tamil ௧௩௩௧௩௨ Thai ๑๓๓๑๓๒ Tibetan ༡༣༣༡༣༢ Khmer ១៣៣១៣២ Lao ໑໓໓໑໓໒ Burmese ၁၃၃၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133132, here are decompositions:

  • 11 + 133121 = 133132
  • 23 + 133109 = 133132
  • 29 + 133103 = 133132
  • 59 + 133073 = 133132
  • 179 + 132953 = 133132
  • 239 + 132893 = 133132
  • 269 + 132863 = 133132
  • 281 + 132851 = 133132

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠌
CJK Unified Ideograph-2080C
U+2080C
Other letter (Lo)

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

Hex color
#02080C
RGB(2, 8, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.12.

Address
0.2.8.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.12

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 133,132 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 133132 first appears in π at position 658,786 of the decimal expansion (the 658,786ordinal-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