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135,100

135,100 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.).

135,100 (one hundred thirty-five thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 7 × 193. Its proper divisors sum to 201,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FBC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
1,531
Recamán's sequence
a(36,432) = 135,100
Square (n²)
18,252,010,000
Cube (n³)
2,465,846,551,000,000
Divisor count
36
σ(n) — sum of divisors
336,784
φ(n) — Euler's totient
46,080
Sum of prime factors
214

Primality

Prime factorization: 2 2 × 5 2 × 7 × 193

Nearest primes: 135,089 (−11) · 135,101 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 50 · 70 · 100 · 140 · 175 · 193 · 350 · 386 · 700 · 772 · 965 · 1351 · 1930 · 2702 · 3860 · 4825 · 5404 · 6755 · 9650 · 13510 · 19300 · 27020 · 33775 · 67550 (half) · 135100
Aliquot sum (sum of proper divisors): 201,684
Factor pairs (a × b = 135,100)
1 × 135100
2 × 67550
4 × 33775
5 × 27020
7 × 19300
10 × 13510
14 × 9650
20 × 6755
25 × 5404
28 × 4825
35 × 3860
50 × 2702
70 × 1930
100 × 1351
140 × 965
175 × 772
193 × 700
350 × 386
First multiples
135,100 · 270,200 (double) · 405,300 · 540,400 · 675,500 · 810,600 · 945,700 · 1,080,800 · 1,215,900 · 1,351,000

Sums & aliquot sequence

As consecutive integers: 27,018 + 27,019 + 27,020 + 27,021 + 27,022 19,297 + 19,298 + … + 19,303 16,884 + 16,885 + … + 16,891 5,392 + 5,393 + … + 5,416
Aliquot sequence: 135,100 201,684 347,340 765,492 1,435,980 3,531,444 6,443,724 11,168,052 18,613,644 31,737,972 54,708,108 115,016,916 204,502,284 396,837,000 1,136,331,000 3,515,738,760 7,910,413,380 — unresolved within range

Continued fraction of √n

√135,100 = [367; (1, 1, 3, 1, 2, 2, 1, 28, 1, 2, 2, 1, 3, 1, 1, 734)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred
Ordinal
135100th
Binary
100000111110111100
Octal
407674
Hexadecimal
0x20FBC
Base64
Ag+8
One's complement
4,294,832,195 (32-bit)
Scientific notation
1.351 × 10⁵
As a duration
135,100 s = 1 day, 13 hours, 31 minutes, 40 seconds
In other bases
ternary (3) 20212022201
quaternary (4) 200332330
quinary (5) 13310400
senary (6) 2521244
septenary (7) 1101610
nonary (9) 225281
undecimal (11) 92559
duodecimal (12) 66224
tridecimal (13) 49654
tetradecimal (14) 37340
pentadecimal (15) 2a06a

As an angle

135,100° = 375 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵ρλερʹ
Mayan (base 20)
𝋰·𝋱·𝋯·𝋠
Chinese
一十三萬五千一百
Chinese (financial)
壹拾參萬伍仟壹佰
In other modern scripts
Eastern Arabic ١٣٥١٠٠ Devanagari १३५१०० Bengali ১৩৫১০০ Tamil ௧௩௫௧௦௦ Thai ๑๓๕๑๐๐ Tibetan ༡༣༥༡༠༠ Khmer ១៣៥១០០ Lao ໑໓໕໑໐໐ Burmese ၁၃၅၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135100, here are decompositions:

  • 11 + 135089 = 135100
  • 23 + 135077 = 135100
  • 41 + 135059 = 135100
  • 71 + 135029 = 135100
  • 83 + 135017 = 135100
  • 101 + 134999 = 135100
  • 149 + 134951 = 135100
  • 179 + 134921 = 135100

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾼
CJK Unified Ideograph-20Fbc
U+20FBC
Other letter (Lo)

UTF-8 encoding: F0 A0 BE BC (4 bytes).

Hex color
#020FBC
RGB(2, 15, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.188.

Address
0.2.15.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.188

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 135,100 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading