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110,138

110,138 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.).

110,138 (one hundred ten thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 7,867. Written other ways, in hexadecimal, 0x1AE3A.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Moran Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
831,011
Recamán's sequence
a(249,020) = 110,138
Square (n²)
12,130,379,044
Cube (n³)
1,336,015,687,148,072
Divisor count
8
σ(n) — sum of divisors
188,832
φ(n) — Euler's totient
47,196
Sum of prime factors
7,876

Primality

Prime factorization: 2 × 7 × 7867

Nearest primes: 110,129 (−9) · 110,161 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 7867 · 15734 · 55069 (half) · 110138
Aliquot sum (sum of proper divisors): 78,694
Factor pairs (a × b = 110,138)
1 × 110138
2 × 55069
7 × 15734
14 × 7867
First multiples
110,138 · 220,276 (double) · 330,414 · 440,552 · 550,690 · 660,828 · 770,966 · 881,104 · 991,242 · 1,101,380

Sums & aliquot sequence

As consecutive integers: 27,533 + 27,534 + 27,535 + 27,536 15,731 + 15,732 + … + 15,737 3,920 + 3,921 + … + 3,947
Aliquot sequence: 110,138 78,694 73,154 38,206 27,314 19,534 9,770 7,834 3,920 6,682 4,154 2,374 1,190 1,402 704 820 944 — unresolved within range

Continued fraction of √n

√110,138 = [331; (1, 6, 1, 2, 1, 1, 3, 2, 2, 94, 2, 2, 3, 1, 1, 2, 1, 6, 1, 662)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand one hundred thirty-eight
Ordinal
110138th
Binary
11010111000111010
Octal
327072
Hexadecimal
0x1AE3A
Base64
Aa46
One's complement
4,294,857,157 (32-bit)
Scientific notation
1.10138 × 10⁵
As a duration
110,138 s = 1 day, 6 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 12121002012
quaternary (4) 122320322
quinary (5) 12011023
senary (6) 2205522
septenary (7) 636050
nonary (9) 177065
undecimal (11) 75826
duodecimal (12) 538a2
tridecimal (13) 3b192
tetradecimal (14) 2c1d0
pentadecimal (15) 22978

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριρληʹ
Mayan (base 20)
𝋭·𝋯·𝋦·𝋲
Chinese
一十一萬零一百三十八
Chinese (financial)
壹拾壹萬零壹佰參拾捌
In other modern scripts
Eastern Arabic ١١٠١٣٨ Devanagari ११०१३८ Bengali ১১০১৩৮ Tamil ௧௧௦௧௩௮ Thai ๑๑๐๑๓๘ Tibetan ༡༡༠༡༣༨ Khmer ១១០១៣៨ Lao ໑໑໐໑໓໘ Burmese ၁၁၀၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110138, here are decompositions:

  • 19 + 110119 = 110138
  • 79 + 110059 = 110138
  • 151 + 109987 = 110138
  • 241 + 109897 = 110138
  • 307 + 109831 = 110138
  • 331 + 109807 = 110138
  • 349 + 109789 = 110138
  • 397 + 109741 = 110138

Showing the first eight; more decompositions exist.

Hex color
#01AE3A
RGB(1, 174, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.58.

Address
0.1.174.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.58

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 110,138 and was likely granted around 1871.

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.