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131,104

131,104 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.).
Abundant Number Evil Number Happy Number Magic Constant Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
401,131
Square (n²)
17,188,258,816
Cube (n³)
2,253,449,483,812,864
Divisor count
24
σ(n) — sum of divisors
274,428
φ(n) — Euler's totient
61,440
Sum of prime factors
268

Primality

Prime factorization: 2 5 × 17 × 241

Nearest primes: 131,101 (−3) · 131,111 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 68 · 136 · 241 · 272 · 482 · 544 · 964 · 1928 · 3856 · 4097 · 7712 · 8194 · 16388 · 32776 · 65552 (half) · 131104
Aliquot sum (sum of proper divisors): 143,324
Factor pairs (a × b = 131,104)
1 × 131104
2 × 65552
4 × 32776
8 × 16388
16 × 8194
17 × 7712
32 × 4097
34 × 3856
68 × 1928
136 × 964
241 × 544
272 × 482
First multiples
131,104 · 262,208 (double) · 393,312 · 524,416 · 655,520 · 786,624 · 917,728 · 1,048,832 · 1,179,936 · 1,311,040

Sums & aliquot sequence

As a sum of two squares: 100² + 348² = 252² + 260²
As consecutive integers: 7,704 + 7,705 + … + 7,720 2,017 + 2,018 + … + 2,080 424 + 425 + … + 664
Aliquot sequence: 131,104 143,324 107,500 133,048 116,432 121,648 114,076 99,284 74,470 71,978 47,902 25,754 13,606 6,806 3,778 1,892 1,804 — unresolved within range

Continued fraction of √n

√131,104 = [362; (12, 14, 1, 2, 3, 1, 1, 22, 15, 2, 1, 3, 48, 181, 48, 3, 1, 2, 15, 22, 1, 1, 3, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred four
Ordinal
131104th
Binary
100000000000100000
Octal
400040
Hexadecimal
0x20020
Base64
AgAg
One's complement
4,294,836,191 (32-bit)
Scientific notation
1.31104 × 10⁵
As a duration
131,104 s = 1 day, 12 hours, 25 minutes, 4 seconds
In other bases
ternary (3) 20122211201
quaternary (4) 200000200
quinary (5) 13143404
senary (6) 2450544
septenary (7) 1054141
nonary (9) 218751
undecimal (11) 8a556
duodecimal (12) 63a54
tridecimal (13) 4789c
tetradecimal (14) 35ac8
pentadecimal (15) 28ca4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαρδʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋤
Chinese
一十三萬一千一百零四
Chinese (financial)
壹拾參萬壹仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣١١٠٤ Devanagari १३११०४ Bengali ১৩১১০৪ Tamil ௧௩௧௧௦௪ Thai ๑๓๑๑๐๔ Tibetan ༡༣༡༡༠༤ Khmer ១៣១១០៤ Lao ໑໓໑໑໐໔ Burmese ၁၃၁၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131104, here are decompositions:

  • 3 + 131101 = 131104
  • 41 + 131063 = 131104
  • 131 + 130973 = 131104
  • 263 + 130841 = 131104
  • 293 + 130811 = 131104
  • 317 + 130787 = 131104
  • 461 + 130643 = 131104
  • 557 + 130547 = 131104

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀠
CJK Unified Ideograph-20020
U+20020
Other letter (Lo)

UTF-8 encoding: F0 A0 80 A0 (4 bytes).

Hex color
#020020
RGB(2, 0, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.32.

Address
0.2.0.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.32

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 131,104 and was likely granted around 1872.

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