number.wiki
Live analysis

113,050

113,050 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.).

113,050 (one hundred thirteen thousand fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5² × 7 × 17 × 19. Its proper divisors sum to 154,790, more than the number itself, making it an abundant number. It is the 475th triangular number. Written other ways, in hexadecimal, 0x1B99A.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Hexagonal Recamán's Sequence Semiperfect Number Triangular

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
50,311
Recamán's sequence
a(53,143) = 113,050
Square (n²)
12,780,302,500
Cube (n³)
1,444,813,197,625,000
Divisor count
48
σ(n) — sum of divisors
267,840
φ(n) — Euler's totient
34,560
Sum of prime factors
55

Primality

Prime factorization: 2 × 5 2 × 7 × 17 × 19

Nearest primes: 113,041 (−9) · 113,051 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 5 · 7 · 10 · 14 · 17 · 19 · 25 · 34 · 35 · 38 · 50 · 70 · 85 · 95 · 119 · 133 · 170 · 175 · 190 · 238 · 266 · 323 · 350 · 425 · 475 · 595 · 646 · 665 · 850 · 950 · 1190 · 1330 · 1615 · 2261 · 2975 · 3230 · 3325 · 4522 · 5950 · 6650 · 8075 · 11305 · 16150 · 22610 · 56525 (half) · 113050
Aliquot sum (sum of proper divisors): 154,790
Factor pairs (a × b = 113,050)
1 × 113050
2 × 56525
5 × 22610
7 × 16150
10 × 11305
14 × 8075
17 × 6650
19 × 5950
25 × 4522
34 × 3325
35 × 3230
38 × 2975
50 × 2261
70 × 1615
85 × 1330
95 × 1190
119 × 950
133 × 850
170 × 665
175 × 646
190 × 595
238 × 475
266 × 425
323 × 350
First multiples
113,050 · 226,100 (double) · 339,150 · 452,200 · 565,250 · 678,300 · 791,350 · 904,400 · 1,017,450 · 1,130,500

Sums & aliquot sequence

As consecutive integers: 28,261 + 28,262 + 28,263 + 28,264 22,608 + 22,609 + 22,610 + 22,611 + 22,612 16,147 + 16,148 + … + 16,153 6,642 + 6,643 + … + 6,658
Aliquot sequence: 113,050 154,790 136,378 86,822 43,414 32,510 26,026 26,678 13,342 9,554 5,674 2,840 3,640 6,440 10,840 13,640 20,920 — unresolved within range

Continued fraction of √n

√113,050 = [336; (4, 2, 1, 2, 1, 4, 1, 4, 1, 4, 1, 2, 1, 2, 4, 672)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand fifty
Ordinal
113050th
Binary
11011100110011010
Octal
334632
Hexadecimal
0x1B99A
Base64
Abma
One's complement
4,294,854,245 (32-bit)
Scientific notation
1.1305 × 10⁵
As a duration
113,050 s = 1 day, 7 hours, 24 minutes, 10 seconds
In other bases
ternary (3) 12202002001
quaternary (4) 123212122
quinary (5) 12104200
senary (6) 2231214
septenary (7) 650410
nonary (9) 182061
undecimal (11) 77a33
duodecimal (12) 5550a
tridecimal (13) 3c5c2
tetradecimal (14) 2d2b0
pentadecimal (15) 2376a

As an angle

113,050° = 314 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγνʹ
Mayan (base 20)
𝋮·𝋢·𝋬·𝋪
Chinese
一十一萬三千零五十
Chinese (financial)
壹拾壹萬參仟零伍拾
In other modern scripts
Eastern Arabic ١١٣٠٥٠ Devanagari ११३०५० Bengali ১১৩০৫০ Tamil ௧௧௩௦௫௦ Thai ๑๑๓๐๕๐ Tibetan ༡༡༣༠༥༠ Khmer ១១៣០៥០ Lao ໑໑໓໐໕໐ Burmese ၁၁၃၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113050, here are decompositions:

  • 11 + 113039 = 113050
  • 23 + 113027 = 113050
  • 29 + 113021 = 113050
  • 53 + 112997 = 113050
  • 71 + 112979 = 113050
  • 83 + 112967 = 113050
  • 131 + 112919 = 113050
  • 137 + 112913 = 113050

Showing the first eight; more decompositions exist.

Hex color
#01B99A
RGB(1, 185, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.154.

Address
0.1.185.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.154

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 113,050 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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.