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132,012

132,012 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.).

132,012 (one hundred thirty-two thousand twelve) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 19 × 193. Its proper divisors sum to 221,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203AC.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
210,231
Recamán's sequence
a(228,348) = 132,012
Square (n²)
17,427,168,144
Cube (n³)
2,300,595,321,025,728
Divisor count
36
σ(n) — sum of divisors
353,080
φ(n) — Euler's totient
41,472
Sum of prime factors
222

Primality

Prime factorization: 2 2 × 3 2 × 19 × 193

Nearest primes: 132,001 (−11) · 132,019 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 36 · 38 · 57 · 76 · 114 · 171 · 193 · 228 · 342 · 386 · 579 · 684 · 772 · 1158 · 1737 · 2316 · 3474 · 3667 · 6948 · 7334 · 11001 · 14668 · 22002 · 33003 · 44004 · 66006 (half) · 132012
Aliquot sum (sum of proper divisors): 221,068
Factor pairs (a × b = 132,012)
1 × 132012
2 × 66006
3 × 44004
4 × 33003
6 × 22002
9 × 14668
12 × 11001
18 × 7334
19 × 6948
36 × 3667
38 × 3474
57 × 2316
76 × 1737
114 × 1158
171 × 772
193 × 684
228 × 579
342 × 386
First multiples
132,012 · 264,024 (double) · 396,036 · 528,048 · 660,060 · 792,072 · 924,084 · 1,056,096 · 1,188,108 · 1,320,120

Sums & aliquot sequence

As consecutive integers: 44,003 + 44,004 + 44,005 16,498 + 16,499 + … + 16,505 14,664 + 14,665 + … + 14,672 6,939 + 6,940 + … + 6,957
Aliquot sequence: 132,012 221,068 188,684 149,500 217,412 207,124 162,560 229,888 230,462 118,138 59,072 68,944 69,936 120,528 240,560 342,736 343,728 — unresolved within range

Continued fraction of √n

√132,012 = [363; (2, 1, 90, 5, 1, 180, 1, 5, 90, 1, 2, 726)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand twelve
Ordinal
132012th
Binary
100000001110101100
Octal
401654
Hexadecimal
0x203AC
Base64
AgOs
One's complement
4,294,835,283 (32-bit)
Scientific notation
1.32012 × 10⁵
As a duration
132,012 s = 1 day, 12 hours, 40 minutes, 12 seconds
In other bases
ternary (3) 20201002100
quaternary (4) 200032230
quinary (5) 13211022
senary (6) 2455100
septenary (7) 1056606
nonary (9) 221070
undecimal (11) 90201
duodecimal (12) 64490
tridecimal (13) 4811a
tetradecimal (14) 36176
pentadecimal (15) 291ac

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺
Greek (Milesian)
͵ρλβιβʹ
Mayan (base 20)
𝋰·𝋪·𝋠·𝋬
Chinese
一十三萬二千零一十二
Chinese (financial)
壹拾參萬貳仟零壹拾貳
In other modern scripts
Eastern Arabic ١٣٢٠١٢ Devanagari १३२०१२ Bengali ১৩২০১২ Tamil ௧௩௨௦௧௨ Thai ๑๓๒๐๑๒ Tibetan ༡༣༢༠༡༢ Khmer ១៣២០១២ Lao ໑໓໒໐໑໒ Burmese ၁၃၂၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132012, here are decompositions:

  • 11 + 132001 = 132012
  • 43 + 131969 = 132012
  • 53 + 131959 = 132012
  • 71 + 131941 = 132012
  • 73 + 131939 = 132012
  • 79 + 131933 = 132012
  • 103 + 131909 = 132012
  • 113 + 131899 = 132012

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎬
CJK Unified Ideograph-203Ac
U+203AC
Other letter (Lo)

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

Hex color
#0203AC
RGB(2, 3, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.172.

Address
0.2.3.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.172

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 132,012 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°.