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113,200

113,200 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.).

113,200 (one hundred thirteen thousand two hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 283. Its proper divisors sum to 159,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA30.

Abundant Number Evil Number Gapful Number Practical 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
17 bits
Reversed
2,311
Recamán's sequence
a(246,176) = 113,200
Square (n²)
12,814,240,000
Cube (n³)
1,450,571,968,000,000
Divisor count
30
σ(n) — sum of divisors
272,924
φ(n) — Euler's totient
45,120
Sum of prime factors
301

Primality

Prime factorization: 2 4 × 5 2 × 283

Nearest primes: 113,189 (−11) · 113,209 (+9)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 283 · 400 · 566 · 1132 · 1415 · 2264 · 2830 · 4528 · 5660 · 7075 · 11320 · 14150 · 22640 · 28300 · 56600 (half) · 113200
Aliquot sum (sum of proper divisors): 159,724
Factor pairs (a × b = 113,200)
1 × 113200
2 × 56600
4 × 28300
5 × 22640
8 × 14150
10 × 11320
16 × 7075
20 × 5660
25 × 4528
40 × 2830
50 × 2264
80 × 1415
100 × 1132
200 × 566
283 × 400
First multiples
113,200 · 226,400 (double) · 339,600 · 452,800 · 566,000 · 679,200 · 792,400 · 905,600 · 1,018,800 · 1,132,000

Sums & aliquot sequence

As consecutive integers: 22,638 + 22,639 + 22,640 + 22,641 + 22,642 4,516 + 4,517 + … + 4,540 3,522 + 3,523 + … + 3,553 628 + 629 + … + 787
Aliquot sequence: 113,200 159,724 124,140 223,620 402,684 578,436 899,964 1,616,676 2,180,124 3,572,532 6,182,668 4,637,008 4,383,620 5,364,244 4,514,156 3,385,624 3,641,576 — unresolved within range

Continued fraction of √n

√113,200 = [336; (2, 4, 1, 2, 1, 1, 7, 1, 16, 2, 1, 2, 3, 6, 1, 2, 2, 15, 1, 73, 1, 4, 1, 4, …)]

Representations

In words
one hundred thirteen thousand two hundred
Ordinal
113200th
Binary
11011101000110000
Octal
335060
Hexadecimal
0x1BA30
Base64
Abow
One's complement
4,294,854,095 (32-bit)
Scientific notation
1.132 × 10⁵
As a duration
113,200 s = 1 day, 7 hours, 26 minutes, 40 seconds
In other bases
ternary (3) 12202021121
quaternary (4) 123220300
quinary (5) 12110300
senary (6) 2232024
septenary (7) 651013
nonary (9) 182247
undecimal (11) 7805a
duodecimal (12) 55614
tridecimal (13) 3c6a9
tetradecimal (14) 2d37a
pentadecimal (15) 2381a

As an angle

113,200° = 314 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ριγσʹ
Mayan (base 20)
𝋮·𝋣·𝋠·𝋠
Chinese
一十一萬三千二百
Chinese (financial)
壹拾壹萬參仟貳佰
In other modern scripts
Eastern Arabic ١١٣٢٠٠ Devanagari ११३२०० Bengali ১১৩২০০ Tamil ௧௧௩௨௦௦ Thai ๑๑๓๒๐๐ Tibetan ༡༡༣༢༠༠ Khmer ១១៣២០០ Lao ໑໑໓໒໐໐ Burmese ၁၁၃၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113200, here are decompositions:

  • 11 + 113189 = 113200
  • 23 + 113177 = 113200
  • 29 + 113171 = 113200
  • 41 + 113159 = 113200
  • 47 + 113153 = 113200
  • 53 + 113147 = 113200
  • 83 + 113117 = 113200
  • 89 + 113111 = 113200

Showing the first eight; more decompositions exist.

Hex color
#01BA30
RGB(1, 186, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.48.

Address
0.1.186.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.48

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 113,200 and was likely granted around 1871.

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

Position in π

The digit sequence 113200 first appears in π at position 574,615 of the decimal expansion (the 574,615ordinal-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