number.wiki
Live analysis

113,330

113,330 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.).

113,330 (one hundred thirteen thousand three hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 1,619. Its proper divisors sum to 119,950, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAB2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
33,311
Recamán's sequence
a(245,916) = 113,330
Square (n²)
12,843,688,900
Cube (n³)
1,455,575,263,037,000
Divisor count
16
σ(n) — sum of divisors
233,280
φ(n) — Euler's totient
38,832
Sum of prime factors
1,633

Primality

Prime factorization: 2 × 5 × 7 × 1619

Nearest primes: 113,329 (−1) · 113,341 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 1619 · 3238 · 8095 · 11333 · 16190 · 22666 · 56665 (half) · 113330
Aliquot sum (sum of proper divisors): 119,950
Factor pairs (a × b = 113,330)
1 × 113330
2 × 56665
5 × 22666
7 × 16190
10 × 11333
14 × 8095
35 × 3238
70 × 1619
First multiples
113,330 · 226,660 (double) · 339,990 · 453,320 · 566,650 · 679,980 · 793,310 · 906,640 · 1,019,970 · 1,133,300

Sums & aliquot sequence

As consecutive integers: 28,331 + 28,332 + 28,333 + 28,334 22,664 + 22,665 + 22,666 + 22,667 + 22,668 16,187 + 16,188 + … + 16,193 5,657 + 5,658 + … + 5,676
Aliquot sequence: 113,330 119,950 103,250 121,390 101,810 81,466 77,798 55,594 54,134 27,070 21,674 10,840 13,640 20,920 26,240 38,020 41,864 — unresolved within range

Continued fraction of √n

√113,330 = [336; (1, 1, 1, 4, 1, 1, 19, 3, 1, 13, 1, 7, 1, 1, 2, 3, 1, 3, 1, 2, 5, 3, 2, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred thirty
Ordinal
113330th
Binary
11011101010110010
Octal
335262
Hexadecimal
0x1BAB2
Base64
Abqy
One's complement
4,294,853,965 (32-bit)
Scientific notation
1.1333 × 10⁵
As a duration
113,330 s = 1 day, 7 hours, 28 minutes, 50 seconds
In other bases
ternary (3) 12202110102
quaternary (4) 123222302
quinary (5) 12111310
senary (6) 2232402
septenary (7) 651260
nonary (9) 182412
undecimal (11) 78168
duodecimal (12) 55702
tridecimal (13) 3c779
tetradecimal (14) 2d430
pentadecimal (15) 238a5

As an angle

113,330° = 314 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ριγτλʹ
Mayan (base 20)
𝋮·𝋣·𝋦·𝋪
Chinese
一十一萬三千三百三十
Chinese (financial)
壹拾壹萬參仟參佰參拾
In other modern scripts
Eastern Arabic ١١٣٣٣٠ Devanagari ११३३३० Bengali ১১৩৩৩০ Tamil ௧௧௩௩௩௦ Thai ๑๑๓๓๓๐ Tibetan ༡༡༣༣༣༠ Khmer ១១៣៣៣០ Lao ໑໑໓໓໓໐ Burmese ၁၁၃၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113330, here are decompositions:

  • 3 + 113327 = 113330
  • 43 + 113287 = 113330
  • 97 + 113233 = 113330
  • 103 + 113227 = 113330
  • 157 + 113173 = 113330
  • 163 + 113167 = 113330
  • 181 + 113149 = 113330
  • 199 + 113131 = 113330

Showing the first eight; more decompositions exist.

Hex color
#01BAB2
RGB(1, 186, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.178.

Address
0.1.186.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.178

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 113,330 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 113330 first appears in π at position 202,825 of the decimal expansion (the 202,825ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.