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132,116

132,116 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.).

132,116 (one hundred thirty-two thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,029. Written other ways, in hexadecimal, 0x20414.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
611,231
Recamán's sequence
a(228,140) = 132,116
Square (n²)
17,454,637,456
Cube (n³)
2,306,036,882,136,896
Divisor count
6
σ(n) — sum of divisors
231,210
φ(n) — Euler's totient
66,056
Sum of prime factors
33,033

Primality

Prime factorization: 2 2 × 33029

Nearest primes: 132,113 (−3) · 132,137 (+21)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33029 · 66058 (half) · 132116
Aliquot sum (sum of proper divisors): 99,094
Factor pairs (a × b = 132,116)
1 × 132116
2 × 66058
4 × 33029
First multiples
132,116 · 264,232 (double) · 396,348 · 528,464 · 660,580 · 792,696 · 924,812 · 1,056,928 · 1,189,044 · 1,321,160

Sums & aliquot sequence

As a sum of two squares: 254² + 260²
As consecutive integers: 16,511 + 16,512 + … + 16,518
Aliquot sequence: 132,116 99,094 49,550 42,706 22,238 11,122 6,014 3,394 1,700 2,206 1,106 814 554 280 440 640 890 — unresolved within range

Continued fraction of √n

√132,116 = [363; (2, 10, 1, 2, 5, 1, 44, 1, 1, 2, 4, 1, 4, 1, 10, 45, 2, 1, 11, 1, 1, 1, 6, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred sixteen
Ordinal
132116th
Binary
100000010000010100
Octal
402024
Hexadecimal
0x20414
Base64
AgQU
One's complement
4,294,835,179 (32-bit)
Scientific notation
1.32116 × 10⁵
As a duration
132,116 s = 1 day, 12 hours, 41 minutes, 56 seconds
In other bases
ternary (3) 20201020012
quaternary (4) 200100110
quinary (5) 13211431
senary (6) 2455352
septenary (7) 1060115
nonary (9) 221205
undecimal (11) 90296
duodecimal (12) 64558
tridecimal (13) 4819a
tetradecimal (14) 3620c
pentadecimal (15) 2922b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβριϛʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋰
Chinese
一十三萬二千一百一十六
Chinese (financial)
壹拾參萬貳仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٢١١٦ Devanagari १३२११६ Bengali ১৩২১১৬ Tamil ௧௩௨௧௧௬ Thai ๑๓๒๑๑๖ Tibetan ༡༣༢༡༡༦ Khmer ១៣២១១៦ Lao ໑໓໒໑໑໖ Burmese ၁၃၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132116, here are decompositions:

  • 3 + 132113 = 132116
  • 7 + 132109 = 132116
  • 13 + 132103 = 132116
  • 67 + 132049 = 132116
  • 97 + 132019 = 132116
  • 157 + 131959 = 132116
  • 223 + 131893 = 132116
  • 277 + 131839 = 132116

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐔
CJK Unified Ideograph-20414
U+20414
Other letter (Lo)

UTF-8 encoding: F0 A0 90 94 (4 bytes).

Hex color
#020414
RGB(2, 4, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.20.

Address
0.2.4.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.20

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 132,116 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 132116 first appears in π at position 322,926 of the decimal expansion (the 322,926ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.