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130,050

130,050 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.).

130,050 (one hundred thirty thousand fifty) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2 × 3² × 5² × 17². Its proper divisors sum to 241,113, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC02.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
50,031
Recamán's sequence
a(33,856) = 130,050
Square (n²)
16,913,002,500
Cube (n³)
2,199,535,975,125,000
Divisor count
54
σ(n) — sum of divisors
371,163
φ(n) — Euler's totient
32,640
Sum of prime factors
52

Primality

Prime factorization: 2 × 3 2 × 5 2 × 17 2

Nearest primes: 130,043 (−7) · 130,051 (+1)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 25 · 30 · 34 · 45 · 50 · 51 · 75 · 85 · 90 · 102 · 150 · 153 · 170 · 225 · 255 · 289 · 306 · 425 · 450 · 510 · 578 · 765 · 850 · 867 · 1275 · 1445 · 1530 · 1734 · 2550 · 2601 · 2890 · 3825 · 4335 · 5202 · 7225 · 7650 · 8670 · 13005 · 14450 · 21675 · 26010 · 43350 · 65025 (half) · 130050
Aliquot sum (sum of proper divisors): 241,113
Factor pairs (a × b = 130,050)
1 × 130050
2 × 65025
3 × 43350
5 × 26010
6 × 21675
9 × 14450
10 × 13005
15 × 8670
17 × 7650
18 × 7225
25 × 5202
30 × 4335
34 × 3825
45 × 2890
50 × 2601
51 × 2550
75 × 1734
85 × 1530
90 × 1445
102 × 1275
150 × 867
153 × 850
170 × 765
225 × 578
255 × 510
289 × 450
306 × 425
First multiples
130,050 · 260,100 (double) · 390,150 · 520,200 · 650,250 · 780,300 · 910,350 · 1,040,400 · 1,170,450 · 1,300,500

Sums & aliquot sequence

As a sum of two squares: 51² + 357² = 105² + 345² = 123² + 339² = 213² + 291²
As consecutive integers: 43,349 + 43,350 + 43,351 32,511 + 32,512 + 32,513 + 32,514 26,008 + 26,009 + 26,010 + 26,011 + 26,012 14,446 + 14,447 + … + 14,454
Aliquot sequence: 130,050 241,113 82,887 43,449 22,791 8,313 3,495 2,121 1,143 521 1 0 — terminates at zero

Continued fraction of √n

√130,050 = [360; (1, 1, 1, 1, 1, 28, 4, 2, 4, 28, 1, 1, 1, 1, 1, 720)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand fifty
Ordinal
130050th
Binary
11111110000000010
Octal
376002
Hexadecimal
0x1FC02
Base64
AfwC
One's complement
4,294,837,245 (32-bit)
Scientific notation
1.3005 × 10⁵
As a duration
130,050 s = 1 day, 12 hours, 7 minutes, 30 seconds
In other bases
ternary (3) 20121101200
quaternary (4) 133300002
quinary (5) 13130200
senary (6) 2442030
septenary (7) 1051104
nonary (9) 217350
undecimal (11) 89788
duodecimal (12) 63316
tridecimal (13) 4726b
tetradecimal (14) 35574
pentadecimal (15) 28800

As an angle

130,050° = 361 × 360° + 90°
90° ≈ 1.571 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλνʹ
Mayan (base 20)
𝋰·𝋥·𝋢·𝋪
Chinese
一十三萬零五十
Chinese (financial)
壹拾參萬零伍拾
In other modern scripts
Eastern Arabic ١٣٠٠٥٠ Devanagari १३००५० Bengali ১৩০০৫০ Tamil ௧௩௦௦௫௦ Thai ๑๓๐๐๕๐ Tibetan ༡༣༠༠༥༠ Khmer ១៣០០៥០ Lao ໑໓໐໐໕໐ Burmese ၁၃၀၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130050, here are decompositions:

  • 7 + 130043 = 130050
  • 23 + 130027 = 130050
  • 29 + 130021 = 130050
  • 47 + 130003 = 130050
  • 79 + 129971 = 130050
  • 83 + 129967 = 130050
  • 97 + 129953 = 130050
  • 113 + 129937 = 130050

Showing the first eight; more decompositions exist.

Hex color
#01FC02
RGB(1, 252, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.2.

Address
0.1.252.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.2

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 130,050 and was likely granted around 1872.

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

Position in π

The digit sequence 130050 first appears in π at position 6,234 of the decimal expansion (the 6,234ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.