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130,020

130,020 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.).

130,020 (one hundred thirty thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 11 × 197. Its proper divisors sum to 269,148, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBE4.

Abundant Number Arithmetic 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
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
20,031
Recamán's sequence
a(33,796) = 130,020
Square (n²)
16,905,200,400
Cube (n³)
2,198,014,156,008,000
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
31,360
Sum of prime factors
220

Primality

Prime factorization: 2 2 × 3 × 5 × 11 × 197

Nearest primes: 130,003 (−17) · 130,021 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 44 · 55 · 60 · 66 · 110 · 132 · 165 · 197 · 220 · 330 · 394 · 591 · 660 · 788 · 985 · 1182 · 1970 · 2167 · 2364 · 2955 · 3940 · 4334 · 5910 · 6501 · 8668 · 10835 · 11820 · 13002 · 21670 · 26004 · 32505 · 43340 · 65010 (half) · 130020
Aliquot sum (sum of proper divisors): 269,148
Factor pairs (a × b = 130,020)
1 × 130020
2 × 65010
3 × 43340
4 × 32505
5 × 26004
6 × 21670
10 × 13002
11 × 11820
12 × 10835
15 × 8668
20 × 6501
22 × 5910
30 × 4334
33 × 3940
44 × 2955
55 × 2364
60 × 2167
66 × 1970
110 × 1182
132 × 985
165 × 788
197 × 660
220 × 591
330 × 394
First multiples
130,020 · 260,040 (double) · 390,060 · 520,080 · 650,100 · 780,120 · 910,140 · 1,040,160 · 1,170,180 · 1,300,200

Sums & aliquot sequence

As consecutive integers: 43,339 + 43,340 + 43,341 26,002 + 26,003 + 26,004 + 26,005 + 26,006 16,249 + 16,250 + … + 16,256 11,815 + 11,816 + … + 11,825
Aliquot sequence: 130,020 269,148 416,292 566,844 755,820 1,996,020 4,531,956 8,639,244 13,939,956 22,436,748 34,428,060 76,156,596 116,350,446 116,350,458 156,258,822 156,258,834 156,258,846 — unresolved within range

Continued fraction of √n

√130,020 = [360; (1, 1, 2, 1, 1, 14, 7, 2, 3, 1, 13, 2, 1, 2, 1, 10, 1, 1, 5, 1, 2, 3, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand twenty
Ordinal
130020th
Binary
11111101111100100
Octal
375744
Hexadecimal
0x1FBE4
Base64
Afvk
One's complement
4,294,837,275 (32-bit)
Scientific notation
1.3002 × 10⁵
As a duration
130,020 s = 1 day, 12 hours, 7 minutes
In other bases
ternary (3) 20121100120
quaternary (4) 133233210
quinary (5) 13130040
senary (6) 2441540
septenary (7) 1051032
nonary (9) 217316
undecimal (11) 89760
duodecimal (12) 632b0
tridecimal (13) 47247
tetradecimal (14) 35552
pentadecimal (15) 287d0

As an angle

130,020° = 361 × 360° + 60°
60° ≈ 1.047 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆
Greek (Milesian)
͵ρλκʹ
Mayan (base 20)
𝋰·𝋥·𝋡·𝋠
Chinese
一十三萬零二十
Chinese (financial)
壹拾參萬零貳拾
In other modern scripts
Eastern Arabic ١٣٠٠٢٠ Devanagari १३००२० Bengali ১৩০০২০ Tamil ௧௩௦௦௨௦ Thai ๑๓๐๐๒๐ Tibetan ༡༣༠༠༢༠ Khmer ១៣០០២០ Lao ໑໓໐໐໒໐ Burmese ၁၃၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130020, here are decompositions:

  • 17 + 130003 = 130020
  • 53 + 129967 = 130020
  • 61 + 129959 = 130020
  • 67 + 129953 = 130020
  • 83 + 129937 = 130020
  • 101 + 129919 = 130020
  • 103 + 129917 = 130020
  • 127 + 129893 = 130020

Showing the first eight; more decompositions exist.

Unicode codepoint
🯤
Upper Centre One Quarter Block
U+1FBE4
Other symbol (So)

UTF-8 encoding: F0 9F AF A4 (4 bytes).

Hex color
#01FBE4
RGB(1, 251, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.228.

Address
0.1.251.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.228

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 130,020 and was likely granted around 1872.

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

Related reading

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