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132,112

132,112 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.).

132,112 (one hundred thirty-two thousand one hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 359. Its proper divisors sum to 135,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20410.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
211,231
Recamán's sequence
a(228,148) = 132,112
Square (n²)
17,453,580,544
Cube (n³)
2,305,827,432,828,928
Divisor count
20
σ(n) — sum of divisors
267,840
φ(n) — Euler's totient
63,008
Sum of prime factors
390

Primality

Prime factorization: 2 4 × 23 × 359

Nearest primes: 132,109 (−3) · 132,113 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 359 · 368 · 718 · 1436 · 2872 · 5744 · 8257 · 16514 · 33028 · 66056 (half) · 132112
Aliquot sum (sum of proper divisors): 135,728
Factor pairs (a × b = 132,112)
1 × 132112
2 × 66056
4 × 33028
8 × 16514
16 × 8257
23 × 5744
46 × 2872
92 × 1436
184 × 718
359 × 368
First multiples
132,112 · 264,224 (double) · 396,336 · 528,448 · 660,560 · 792,672 · 924,784 · 1,056,896 · 1,189,008 · 1,321,120

Sums & aliquot sequence

As consecutive integers: 5,733 + 5,734 + … + 5,755 4,113 + 4,114 + … + 4,144 189 + 190 + … + 547
Aliquot sequence: 132,112 135,728 143,272 125,378 86,302 43,154 21,580 27,812 23,848 25,112 23,728 22,276 16,714 8,954 6,208 6,238 3,122 — unresolved within range

Continued fraction of √n

√132,112 = [363; (2, 8, 2, 9, 2, 17, 3, 1, 10, 1, 3, 1, 1, 1, 10, 1, 8, 1, 1, 1, 6, 2, 2, 14, …)]

Representations

In words
one hundred thirty-two thousand one hundred twelve
Ordinal
132112th
Binary
100000010000010000
Octal
402020
Hexadecimal
0x20410
Base64
AgQQ
One's complement
4,294,835,183 (32-bit)
Scientific notation
1.32112 × 10⁵
As a duration
132,112 s = 1 day, 12 hours, 41 minutes, 52 seconds
In other bases
ternary (3) 20201020001
quaternary (4) 200100100
quinary (5) 13211422
senary (6) 2455344
septenary (7) 1060111
nonary (9) 221201
undecimal (11) 90292
duodecimal (12) 64554
tridecimal (13) 48196
tetradecimal (14) 36208
pentadecimal (15) 29227

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλβριβʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋬
Chinese
一十三萬二千一百一十二
Chinese (financial)
壹拾參萬貳仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٢١١٢ Devanagari १३२११२ Bengali ১৩২১১২ Tamil ௧௩௨௧௧௨ Thai ๑๓๒๑๑๒ Tibetan ༡༣༢༡༡༢ Khmer ១៣២១១២ Lao ໑໓໒໑໑໒ Burmese ၁၃၂၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132112, here are decompositions:

  • 3 + 132109 = 132112
  • 41 + 132071 = 132112
  • 53 + 132059 = 132112
  • 173 + 131939 = 132112
  • 179 + 131933 = 132112
  • 251 + 131861 = 132112
  • 263 + 131849 = 132112
  • 353 + 131759 = 132112

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐐
CJK Unified Ideograph-20410
U+20410
Other letter (Lo)

UTF-8 encoding: F0 A0 90 90 (4 bytes).

Hex color
#020410
RGB(2, 4, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.16.

Address
0.2.4.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.16

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 132,112 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 132112 first appears in π at position 56,395 of the decimal expansion (the 56,395ordinal-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