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130,016

130,016 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.).

130,016 (one hundred thirty thousand sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 17 × 239. Its proper divisors sum to 142,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBE0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
610,031
Recamán's sequence
a(33,788) = 130,016
Square (n²)
16,904,160,256
Cube (n³)
2,197,811,299,844,096
Divisor count
24
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
60,928
Sum of prime factors
266

Primality

Prime factorization: 2 5 × 17 × 239

Nearest primes: 130,003 (−13) · 130,021 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 68 · 136 · 239 · 272 · 478 · 544 · 956 · 1912 · 3824 · 4063 · 7648 · 8126 · 16252 · 32504 · 65008 (half) · 130016
Aliquot sum (sum of proper divisors): 142,144
Factor pairs (a × b = 130,016)
1 × 130016
2 × 65008
4 × 32504
8 × 16252
16 × 8126
17 × 7648
32 × 4063
34 × 3824
68 × 1912
136 × 956
239 × 544
272 × 478
First multiples
130,016 · 260,032 (double) · 390,048 · 520,064 · 650,080 · 780,096 · 910,112 · 1,040,128 · 1,170,144 · 1,300,160

Sums & aliquot sequence

As consecutive integers: 7,640 + 7,641 + … + 7,656 2,000 + 2,001 + … + 2,063 425 + 426 + … + 663
Aliquot sequence: 130,016 142,144 140,050 120,536 139,864 122,396 97,852 83,588 62,698 40,982 22,570 19,838 17,122 12,254 7,834 3,920 6,682 — unresolved within range

Continued fraction of √n

√130,016 = [360; (1, 1, 2, 1, 2, 1, 3, 22, 3, 1, 2, 1, 2, 1, 1, 720)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand sixteen
Ordinal
130016th
Binary
11111101111100000
Octal
375740
Hexadecimal
0x1FBE0
Base64
Afvg
One's complement
4,294,837,279 (32-bit)
Scientific notation
1.30016 × 10⁵
As a duration
130,016 s = 1 day, 12 hours, 6 minutes, 56 seconds
In other bases
ternary (3) 20121100102
quaternary (4) 133233200
quinary (5) 13130031
senary (6) 2441532
septenary (7) 1051025
nonary (9) 217312
undecimal (11) 89757
duodecimal (12) 632a8
tridecimal (13) 47243
tetradecimal (14) 3554c
pentadecimal (15) 287cb

As an angle

130,016° = 361 × 360° + 56°
56° ≈ 0.977 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλιϛʹ
Mayan (base 20)
𝋰·𝋥·𝋠·𝋰
Chinese
一十三萬零一十六
Chinese (financial)
壹拾參萬零壹拾陸
In other modern scripts
Eastern Arabic ١٣٠٠١٦ Devanagari १३००१६ Bengali ১৩০০১৬ Tamil ௧௩௦௦௧௬ Thai ๑๓๐๐๑๖ Tibetan ༡༣༠༠༡༦ Khmer ១៣០០១៦ Lao ໑໓໐໐໑໖ Burmese ၁၃၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130016, here are decompositions:

  • 13 + 130003 = 130016
  • 79 + 129937 = 130016
  • 97 + 129919 = 130016
  • 163 + 129853 = 130016
  • 223 + 129793 = 130016
  • 283 + 129733 = 130016
  • 373 + 129643 = 130016
  • 409 + 129607 = 130016

Showing the first eight; more decompositions exist.

Unicode codepoint
🯠
Top Justified Lower Half White Circle
U+1FBE0
Other symbol (So)

UTF-8 encoding: F0 9F AF A0 (4 bytes).

Hex color
#01FBE0
RGB(1, 251, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.224.

Address
0.1.251.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.224

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 130,016 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 130016 first appears in π at position 163,480 of the decimal expansion (the 163,480ordinal-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.