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132,108

132,108 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.).

132,108 (one hundred thirty-two thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 101 × 109. Its proper divisors sum to 182,052, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2040C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
801,231
Recamán's sequence
a(228,156) = 132,108
Square (n²)
17,452,523,664
Cube (n³)
2,305,617,996,203,712
Divisor count
24
σ(n) — sum of divisors
314,160
φ(n) — Euler's totient
43,200
Sum of prime factors
217

Primality

Prime factorization: 2 2 × 3 × 101 × 109

Nearest primes: 132,103 (−5) · 132,109 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 101 · 109 · 202 · 218 · 303 · 327 · 404 · 436 · 606 · 654 · 1212 · 1308 · 11009 · 22018 · 33027 · 44036 · 66054 (half) · 132108
Aliquot sum (sum of proper divisors): 182,052
Factor pairs (a × b = 132,108)
1 × 132108
2 × 66054
3 × 44036
4 × 33027
6 × 22018
12 × 11009
101 × 1308
109 × 1212
202 × 654
218 × 606
303 × 436
327 × 404
First multiples
132,108 · 264,216 (double) · 396,324 · 528,432 · 660,540 · 792,648 · 924,756 · 1,056,864 · 1,188,972 · 1,321,080

Sums & aliquot sequence

As consecutive integers: 44,035 + 44,036 + 44,037 16,510 + 16,511 + … + 16,517 5,493 + 5,494 + … + 5,516 1,258 + 1,259 + … + 1,358
Aliquot sequence: 132,108 182,052 314,808 533,592 911,748 1,215,692 920,764 814,620 1,466,484 1,955,340 4,630,932 7,476,086 3,880,234 2,075,606 1,315,978 761,942 380,974 — unresolved within range

Continued fraction of √n

√132,108 = [363; (2, 6, 1, 180, 1, 6, 2, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred eight
Ordinal
132108th
Binary
100000010000001100
Octal
402014
Hexadecimal
0x2040C
Base64
AgQM
One's complement
4,294,835,187 (32-bit)
Scientific notation
1.32108 × 10⁵
As a duration
132,108 s = 1 day, 12 hours, 41 minutes, 48 seconds
In other bases
ternary (3) 20201012220
quaternary (4) 200100030
quinary (5) 13211413
senary (6) 2455340
septenary (7) 1060104
nonary (9) 221186
undecimal (11) 90289
duodecimal (12) 64550
tridecimal (13) 48192
tetradecimal (14) 36204
pentadecimal (15) 29223

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρηʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋨
Chinese
一十三萬二千一百零八
Chinese (financial)
壹拾參萬貳仟壹佰零捌
In other modern scripts
Eastern Arabic ١٣٢١٠٨ Devanagari १३२१०८ Bengali ১৩২১০৮ Tamil ௧௩௨௧௦௮ Thai ๑๓๒๑๐๘ Tibetan ༡༣༢༡༠༨ Khmer ១៣២១០៨ Lao ໑໓໒໑໐໘ Burmese ၁၃၂၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132108, here are decompositions:

  • 5 + 132103 = 132108
  • 37 + 132071 = 132108
  • 59 + 132049 = 132108
  • 61 + 132047 = 132108
  • 89 + 132019 = 132108
  • 107 + 132001 = 132108
  • 139 + 131969 = 132108
  • 149 + 131959 = 132108

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐌
CJK Unified Ideograph-2040C
U+2040C
Other letter (Lo)

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

Hex color
#02040C
RGB(2, 4, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.12.

Address
0.2.4.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.12

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 132,108 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 132108 first appears in π at position 243,487 of the decimal expansion (the 243,487ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.