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132,100

132,100 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.).

132,100 (one hundred thirty-two thousand one hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,321. Its proper divisors sum to 154,774, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20404.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
1,231
Recamán's sequence
a(228,172) = 132,100
Square (n²)
17,450,410,000
Cube (n³)
2,305,199,161,000,000
Divisor count
18
σ(n) — sum of divisors
286,874
φ(n) — Euler's totient
52,800
Sum of prime factors
1,335

Primality

Prime factorization: 2 2 × 5 2 × 1321

Nearest primes: 132,071 (−29) · 132,103 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 1321 · 2642 · 5284 · 6605 · 13210 · 26420 · 33025 · 66050 (half) · 132100
Aliquot sum (sum of proper divisors): 154,774
Factor pairs (a × b = 132,100)
1 × 132100
2 × 66050
4 × 33025
5 × 26420
10 × 13210
20 × 6605
25 × 5284
50 × 2642
100 × 1321
First multiples
132,100 · 264,200 (double) · 396,300 · 528,400 · 660,500 · 792,600 · 924,700 · 1,056,800 · 1,188,900 · 1,321,000

Sums & aliquot sequence

As a sum of two squares: 50² + 360² = 176² + 318² = 256² + 258²
As consecutive integers: 26,418 + 26,419 + 26,420 + 26,421 + 26,422 16,509 + 16,510 + … + 16,516 5,272 + 5,273 + … + 5,296 3,283 + 3,284 + … + 3,322
Aliquot sequence: 132,100 154,774 89,666 46,414 26,306 18,814 10,706 5,818 2,912 4,144 5,280 12,864 21,680 28,912 31,848 47,832 71,808 — unresolved within range

Continued fraction of √n

√132,100 = [363; (2, 5, 7, 2, 1, 1, 3, 2, 6, 1, 9, 2, 1, 2, 6, 5, 1, 2, 2, 1, 1, 5, 4, 2, …)]

Representations

In words
one hundred thirty-two thousand one hundred
Ordinal
132100th
Binary
100000010000000100
Octal
402004
Hexadecimal
0x20404
Base64
AgQE
One's complement
4,294,835,195 (32-bit)
Scientific notation
1.321 × 10⁵
As a duration
132,100 s = 1 day, 12 hours, 41 minutes, 40 seconds
In other bases
ternary (3) 20201012121
quaternary (4) 200100010
quinary (5) 13211400
senary (6) 2455324
septenary (7) 1060063
nonary (9) 221177
undecimal (11) 90281
duodecimal (12) 64544
tridecimal (13) 48187
tetradecimal (14) 361da
pentadecimal (15) 2921a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢
Greek (Milesian)
͵ρλβρʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋠
Chinese
一十三萬二千一百
Chinese (financial)
壹拾參萬貳仟壹佰
In other modern scripts
Eastern Arabic ١٣٢١٠٠ Devanagari १३२१०० Bengali ১৩২১০০ Tamil ௧௩௨௧௦௦ Thai ๑๓๒๑๐๐ Tibetan ༡༣༢༡༠༠ Khmer ១៣២១០០ Lao ໑໓໒໑໐໐ Burmese ၁၃၂၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132100, here are decompositions:

  • 29 + 132071 = 132100
  • 41 + 132059 = 132100
  • 53 + 132047 = 132100
  • 131 + 131969 = 132100
  • 167 + 131933 = 132100
  • 173 + 131927 = 132100
  • 191 + 131909 = 132100
  • 239 + 131861 = 132100

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐄
CJK Unified Ideograph-20404
U+20404
Other letter (Lo)

UTF-8 encoding: F0 A0 90 84 (4 bytes).

Hex color
#020404
RGB(2, 4, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.4.

Address
0.2.4.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.4

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 132,100 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 132100 first appears in π at position 587,303 of the decimal expansion (the 587,303ordinal-suffix:rd 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