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117,130

117,130 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.).

117,130 (one hundred seventeen thousand one hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 13 × 17 × 53. Its proper divisors sum to 127,814, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C98A.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
31,711
Square (n²)
13,719,436,900
Cube (n³)
1,606,957,644,097,000
Divisor count
32
σ(n) — sum of divisors
244,944
φ(n) — Euler's totient
39,936
Sum of prime factors
90

Primality

Prime factorization: 2 × 5 × 13 × 17 × 53

Nearest primes: 117,127 (−3) · 117,133 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 13 · 17 · 26 · 34 · 53 · 65 · 85 · 106 · 130 · 170 · 221 · 265 · 442 · 530 · 689 · 901 · 1105 · 1378 · 1802 · 2210 · 3445 · 4505 · 6890 · 9010 · 11713 · 23426 · 58565 (half) · 117130
Aliquot sum (sum of proper divisors): 127,814
Factor pairs (a × b = 117,130)
1 × 117130
2 × 58565
5 × 23426
10 × 11713
13 × 9010
17 × 6890
26 × 4505
34 × 3445
53 × 2210
65 × 1802
85 × 1378
106 × 1105
130 × 901
170 × 689
221 × 530
265 × 442
First multiples
117,130 · 234,260 (double) · 351,390 · 468,520 · 585,650 · 702,780 · 819,910 · 937,040 · 1,054,170 · 1,171,300

Sums & aliquot sequence

As a sum of two squares: 47² + 339² = 79² + 333² = 87² + 331² = 101² + 327²
As consecutive integers: 29,281 + 29,282 + 29,283 + 29,284 23,424 + 23,425 + 23,426 + 23,427 + 23,428 9,004 + 9,005 + … + 9,016 6,882 + 6,883 + … + 6,898
Aliquot sequence: 117,130 127,814 63,910 81,242 60,688 56,926 28,466 15,358 10,994 6,286 4,514 2,554 1,280 1,786 1,094 550 566 — unresolved within range

Continued fraction of √n

√117,130 = [342; (4, 8, 4, 1, 75, 4, 75, 1, 4, 8, 4, 684)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred thirty
Ordinal
117130th
Binary
11100100110001010
Octal
344612
Hexadecimal
0x1C98A
Base64
AcmK
One's complement
4,294,850,165 (32-bit)
Scientific notation
1.1713 × 10⁵
As a duration
117,130 s = 1 day, 8 hours, 32 minutes, 10 seconds
In other bases
ternary (3) 12221200011
quaternary (4) 130212022
quinary (5) 12222010
senary (6) 2302134
septenary (7) 665326
nonary (9) 187604
undecimal (11) 80002
duodecimal (12) 5794a
tridecimal (13) 41410
tetradecimal (14) 30986
pentadecimal (15) 24a8a

As an angle

117,130° = 325 × 360° + 130°
130° ≈ 2.269 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ριζρλʹ
Mayan (base 20)
𝋮·𝋬·𝋰·𝋪
Chinese
一十一萬七千一百三十
Chinese (financial)
壹拾壹萬柒仟壹佰參拾
In other modern scripts
Eastern Arabic ١١٧١٣٠ Devanagari ११७१३० Bengali ১১৭১৩০ Tamil ௧௧௭௧௩௦ Thai ๑๑๗๑๓๐ Tibetan ༡༡༧༡༣༠ Khmer ១១៧១៣០ Lao ໑໑໗໑໓໐ Burmese ၁၁၇၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117130, here are decompositions:

  • 3 + 117127 = 117130
  • 11 + 117119 = 117130
  • 29 + 117101 = 117130
  • 59 + 117071 = 117130
  • 89 + 117041 = 117130
  • 107 + 117023 = 117130
  • 113 + 117017 = 117130
  • 137 + 116993 = 117130

Showing the first eight; more decompositions exist.

Hex color
#01C98A
RGB(1, 201, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.138.

Address
0.1.201.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.138

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 117,130 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 117130 first appears in π at position 991,325 of the decimal expansion (the 991,325ordinal-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