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130,104

130,104 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.).

130,104 (one hundred thirty thousand one hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 139. Its proper divisors sum to 252,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC38.

Abundant Number Evil Number Harshad / Niven Practical Number 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
401,031
Square (n²)
16,927,050,816
Cube (n³)
2,202,277,019,364,864
Divisor count
48
σ(n) — sum of divisors
382,200
φ(n) — Euler's totient
39,744
Sum of prime factors
164

Primality

Prime factorization: 2 3 × 3 2 × 13 × 139

Nearest primes: 130,099 (−5) · 130,121 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 36 · 39 · 52 · 72 · 78 · 104 · 117 · 139 · 156 · 234 · 278 · 312 · 417 · 468 · 556 · 834 · 936 · 1112 · 1251 · 1668 · 1807 · 2502 · 3336 · 3614 · 5004 · 5421 · 7228 · 10008 · 10842 · 14456 · 16263 · 21684 · 32526 · 43368 · 65052 (half) · 130104
Aliquot sum (sum of proper divisors): 252,096
Factor pairs (a × b = 130,104)
1 × 130104
2 × 65052
3 × 43368
4 × 32526
6 × 21684
8 × 16263
9 × 14456
12 × 10842
13 × 10008
18 × 7228
24 × 5421
26 × 5004
36 × 3614
39 × 3336
52 × 2502
72 × 1807
78 × 1668
104 × 1251
117 × 1112
139 × 936
156 × 834
234 × 556
278 × 468
312 × 417
First multiples
130,104 · 260,208 (double) · 390,312 · 520,416 · 650,520 · 780,624 · 910,728 · 1,040,832 · 1,170,936 · 1,301,040

Sums & aliquot sequence

As a sum of two cubes: 32³ + 46³
As consecutive integers: 43,367 + 43,368 + 43,369 14,452 + 14,453 + … + 14,460 10,002 + 10,003 + … + 10,014 8,124 + 8,125 + … + 8,139
Aliquot sequence: 130,104 252,096 473,328 929,112 1,393,728 3,141,696 5,171,216 4,848,046 3,750,194 2,886,862 1,837,130 1,469,722 745,178 664,870 602,618 323,482 161,744 — unresolved within range

Continued fraction of √n

√130,104 = [360; (1, 2, 3, 14, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 6, 1, 6, 1, 2, 1, 1, 1, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand one hundred four
Ordinal
130104th
Binary
11111110000111000
Octal
376070
Hexadecimal
0x1FC38
Base64
Afw4
One's complement
4,294,837,191 (32-bit)
Scientific notation
1.30104 × 10⁵
As a duration
130,104 s = 1 day, 12 hours, 8 minutes, 24 seconds
In other bases
ternary (3) 20121110200
quaternary (4) 133300320
quinary (5) 13130404
senary (6) 2442200
septenary (7) 1051212
nonary (9) 217420
undecimal (11) 89827
duodecimal (12) 63360
tridecimal (13) 472b0
tetradecimal (14) 355b2
pentadecimal (15) 28839

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλρδʹ
Mayan (base 20)
𝋰·𝋥·𝋥·𝋤
Chinese
一十三萬零一百零四
Chinese (financial)
壹拾參萬零壹佰零肆
In other modern scripts
Eastern Arabic ١٣٠١٠٤ Devanagari १३०१०४ Bengali ১৩০১০৪ Tamil ௧௩௦௧௦௪ Thai ๑๓๐๑๐๔ Tibetan ༡༣༠༡༠༤ Khmer ១៣០១០៤ Lao ໑໓໐໑໐໔ Burmese ၁၃၀၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130104, here are decompositions:

  • 5 + 130099 = 130104
  • 17 + 130087 = 130104
  • 31 + 130073 = 130104
  • 47 + 130057 = 130104
  • 53 + 130051 = 130104
  • 61 + 130043 = 130104
  • 83 + 130021 = 130104
  • 101 + 130003 = 130104

Showing the first eight; more decompositions exist.

Hex color
#01FC38
RGB(1, 252, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.56.

Address
0.1.252.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.56

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 130,104 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 130104 first appears in π at position 127,824 of the decimal expansion (the 127,824ordinal-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°.