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132,114

132,114 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.).

132,114 (one hundred thirty-two thousand one hundred fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 97 × 227. Its proper divisors sum to 136,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20412.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
411,231
Recamán's sequence
a(228,144) = 132,114
Square (n²)
17,454,108,996
Cube (n³)
2,305,932,155,897,544
Divisor count
16
σ(n) — sum of divisors
268,128
φ(n) — Euler's totient
43,392
Sum of prime factors
329

Primality

Prime factorization: 2 × 3 × 97 × 227

Nearest primes: 132,113 (−1) · 132,137 (+23)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 97 · 194 · 227 · 291 · 454 · 582 · 681 · 1362 · 22019 · 44038 · 66057 (half) · 132114
Aliquot sum (sum of proper divisors): 136,014
Factor pairs (a × b = 132,114)
1 × 132114
2 × 66057
3 × 44038
6 × 22019
97 × 1362
194 × 681
227 × 582
291 × 454
First multiples
132,114 · 264,228 (double) · 396,342 · 528,456 · 660,570 · 792,684 · 924,798 · 1,056,912 · 1,189,026 · 1,321,140

Sums & aliquot sequence

As consecutive integers: 44,037 + 44,038 + 44,039 33,027 + 33,028 + 33,029 + 33,030 11,004 + 11,005 + … + 11,015 1,314 + 1,315 + … + 1,410
Aliquot sequence: 132,114 136,014 136,026 195,174 288,426 299,958 299,970 581,310 969,570 2,178,270 3,485,466 4,395,654 5,372,586 6,268,056 9,402,144 15,955,104 31,400,736 — unresolved within range

Continued fraction of √n

√132,114 = [363; (2, 9, 2, 5, 1, 1, 7, 9, 14, 2, 3, 21, 1, 2, 1, 6, 1, 2, 1, 21, 3, 2, 14, 9, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred fourteen
Ordinal
132114th
Binary
100000010000010010
Octal
402022
Hexadecimal
0x20412
Base64
AgQS
One's complement
4,294,835,181 (32-bit)
Scientific notation
1.32114 × 10⁵
As a duration
132,114 s = 1 day, 12 hours, 41 minutes, 54 seconds
In other bases
ternary (3) 20201020010
quaternary (4) 200100102
quinary (5) 13211424
senary (6) 2455350
septenary (7) 1060113
nonary (9) 221203
undecimal (11) 90294
duodecimal (12) 64556
tridecimal (13) 48198
tetradecimal (14) 3620a
pentadecimal (15) 29229

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβριδʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋮
Chinese
一十三萬二千一百一十四
Chinese (financial)
壹拾參萬貳仟壹佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٢١١٤ Devanagari १३२११४ Bengali ১৩২১১৪ Tamil ௧௩௨௧௧௪ Thai ๑๓๒๑๑๔ Tibetan ༡༣༢༡༡༤ Khmer ១៣២១១៤ Lao ໑໓໒໑໑໔ Burmese ၁၃၂၁၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132114, here are decompositions:

  • 5 + 132109 = 132114
  • 11 + 132103 = 132114
  • 43 + 132071 = 132114
  • 67 + 132047 = 132114
  • 113 + 132001 = 132114
  • 167 + 131947 = 132114
  • 173 + 131941 = 132114
  • 181 + 131933 = 132114

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐒
CJK Unified Ideograph-20412
U+20412
Other letter (Lo)

UTF-8 encoding: F0 A0 90 92 (4 bytes).

Hex color
#020412
RGB(2, 4, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.18.

Address
0.2.4.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.18

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 132,114 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°.