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130,052

130,052 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.).

130,052 (one hundred thirty thousand fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 41 × 61. Written other ways, in hexadecimal, 0x1FC04.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
250,031
Recamán's sequence
a(33,860) = 130,052
Square (n²)
16,913,522,704
Cube (n³)
2,199,637,454,700,608
Divisor count
24
σ(n) — sum of divisors
255,192
φ(n) — Euler's totient
57,600
Sum of prime factors
119

Primality

Prime factorization: 2 2 × 13 × 41 × 61

Nearest primes: 130,051 (−1) · 130,057 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 41 · 52 · 61 · 82 · 122 · 164 · 244 · 533 · 793 · 1066 · 1586 · 2132 · 2501 · 3172 · 5002 · 10004 · 32513 · 65026 (half) · 130052
Aliquot sum (sum of proper divisors): 125,140
Factor pairs (a × b = 130,052)
1 × 130052
2 × 65026
4 × 32513
13 × 10004
26 × 5002
41 × 3172
52 × 2501
61 × 2132
82 × 1586
122 × 1066
164 × 793
244 × 533
First multiples
130,052 · 260,104 (double) · 390,156 · 520,208 · 650,260 · 780,312 · 910,364 · 1,040,416 · 1,170,468 · 1,300,520

Sums & aliquot sequence

As a sum of two squares: 136² + 334² = 194² + 304² = 206² + 296² = 254² + 256²
As consecutive integers: 16,253 + 16,254 + … + 16,260 9,998 + 9,999 + … + 10,010 3,152 + 3,153 + … + 3,192 2,102 + 2,103 + … + 2,162
Aliquot sequence: 130,052 125,140 137,696 155,128 135,752 123,448 126,032 118,186 59,096 54,304 52,670 46,690 56,990 48,850 42,104 41,296 42,404 — unresolved within range

Continued fraction of √n

√130,052 = [360; (1, 1, 1, 2, 6, 1, 1, 1, 2, 6, 180, 6, 2, 1, 1, 1, 6, 2, 1, 1, 1, 720)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand fifty-two
Ordinal
130052nd
Binary
11111110000000100
Octal
376004
Hexadecimal
0x1FC04
Base64
AfwE
One's complement
4,294,837,243 (32-bit)
Scientific notation
1.30052 × 10⁵
As a duration
130,052 s = 1 day, 12 hours, 7 minutes, 32 seconds
In other bases
ternary (3) 20121101202
quaternary (4) 133300010
quinary (5) 13130202
senary (6) 2442032
septenary (7) 1051106
nonary (9) 217352
undecimal (11) 8978a
duodecimal (12) 63318
tridecimal (13) 47270
tetradecimal (14) 35576
pentadecimal (15) 28802

As an angle

130,052° = 361 × 360° + 92°
92° ≈ 1.606 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλνβʹ
Mayan (base 20)
𝋰·𝋥·𝋢·𝋬
Chinese
一十三萬零五十二
Chinese (financial)
壹拾參萬零伍拾貳
In other modern scripts
Eastern Arabic ١٣٠٠٥٢ Devanagari १३००५२ Bengali ১৩০০৫২ Tamil ௧௩௦௦௫௨ Thai ๑๓๐๐๕๒ Tibetan ༡༣༠༠༥༢ Khmer ១៣០០៥២ Lao ໑໓໐໐໕໒ Burmese ၁၃၀၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130052, here are decompositions:

  • 31 + 130021 = 130052
  • 151 + 129901 = 130052
  • 199 + 129853 = 130052
  • 211 + 129841 = 130052
  • 283 + 129769 = 130052
  • 409 + 129643 = 130052
  • 421 + 129631 = 130052
  • 463 + 129589 = 130052

Showing the first eight; more decompositions exist.

Hex color
#01FC04
RGB(1, 252, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.4.

Address
0.1.252.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.4

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 130,052 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

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