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113,500

113,500 is a composite number, even.

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113,500 (one hundred thirteen thousand five hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 227. Its proper divisors sum to 135,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB5C.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number 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
17 bits
Reversed
5,311
Recamán's sequence
a(53,759) = 113,500
Square (n²)
12,882,250,000
Cube (n³)
1,462,135,375,000,000
Divisor count
24
σ(n) — sum of divisors
248,976
φ(n) — Euler's totient
45,200
Sum of prime factors
246

Primality

Prime factorization: 2 2 × 5 3 × 227

Nearest primes: 113,497 (−3) · 113,501 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 125 · 227 · 250 · 454 · 500 · 908 · 1135 · 2270 · 4540 · 5675 · 11350 · 22700 · 28375 · 56750 (half) · 113500
Aliquot sum (sum of proper divisors): 135,476
Factor pairs (a × b = 113,500)
1 × 113500
2 × 56750
4 × 28375
5 × 22700
10 × 11350
20 × 5675
25 × 4540
50 × 2270
100 × 1135
125 × 908
227 × 500
250 × 454
First multiples
113,500 · 227,000 (double) · 340,500 · 454,000 · 567,500 · 681,000 · 794,500 · 908,000 · 1,021,500 · 1,135,000

Sums & aliquot sequence

As consecutive integers: 22,698 + 22,699 + 22,700 + 22,701 + 22,702 14,184 + 14,185 + … + 14,191 4,528 + 4,529 + … + 4,552 2,818 + 2,819 + … + 2,857
Aliquot sequence: 113,500 135,476 123,244 112,124 84,100 104,907 58,417 1 0 — terminates at zero

Continued fraction of √n

√113,500 = [336; (1, 8, 1, 3, 3, 1, 1, 31, 1, 1, 12, 1, 2, 2, 1, 1, 1, 7, 2, 1, 1, 4, 5, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred
Ordinal
113500th
Binary
11011101101011100
Octal
335534
Hexadecimal
0x1BB5C
Base64
Abtc
One's complement
4,294,853,795 (32-bit)
Scientific notation
1.135 × 10⁵
As a duration
113,500 s = 1 day, 7 hours, 31 minutes, 40 seconds
In other bases
ternary (3) 12202200201
quaternary (4) 123231130
quinary (5) 12113000
senary (6) 2233244
septenary (7) 651622
nonary (9) 182621
undecimal (11) 78302
duodecimal (12) 55824
tridecimal (13) 3c87a
tetradecimal (14) 2d512
pentadecimal (15) 2396a

As an angle

113,500° = 315 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριγφʹ
Mayan (base 20)
𝋮·𝋣·𝋯·𝋠
Chinese
一十一萬三千五百
Chinese (financial)
壹拾壹萬參仟伍佰
In other modern scripts
Eastern Arabic ١١٣٥٠٠ Devanagari ११३५०० Bengali ১১৩৫০০ Tamil ௧௧௩௫௦௦ Thai ๑๑๓๕๐๐ Tibetan ༡༡༣༥༠༠ Khmer ១១៣៥០០ Lao ໑໑໓໕໐໐ Burmese ၁၁၃၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113500, here are decompositions:

  • 3 + 113497 = 113500
  • 11 + 113489 = 113500
  • 47 + 113453 = 113500
  • 83 + 113417 = 113500
  • 137 + 113363 = 113500
  • 173 + 113327 = 113500
  • 311 + 113189 = 113500
  • 347 + 113153 = 113500

Showing the first eight; more decompositions exist.

Hex color
#01BB5C
RGB(1, 187, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.92.

Address
0.1.187.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.92

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 113,500 and was likely granted around 1871.

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

Related reading