Live analysis

110,010

110,010 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.).

110,010 (one hundred ten thousand ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 19 × 193. Its proper divisors sum to 169,350, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADBA.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

109,998 109,999 110,000 110,001 110,002 110,003 110,004 110,005 110,006 110,007 110,008 110,009 110,010 110,011 110,012 110,013 110,014 110,015 110,016 110,017 110,018 110,019 110,020 110,021 110,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 10,011
Flips to (rotate 180°): 10,011
Recamán's sequence: a(249,276) = 110,010
Square (n²): 12,102,200,100
Cube (n³): 1,331,363,033,001,000
Divisor count: 32
σ(n) — sum of divisors: 279,360
φ(n) — Euler's totient: 27,648
Sum of prime factors: 222

Primality

Prime factorization: 2 × 3 × 5 × 19 × 193

Nearest primes: 109,987 (−23) · 110,017 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 19 · 30 · 38 · 57 · 95 · 114 · 190 · 193 · 285 · 386 · 570 · 579 · 965 · 1158 · 1930 · 2895 · 3667 · 5790 · 7334 · 11001 · 18335 · 22002 · 36670 · 55005 (half) · 110010

Aliquot sum (sum of proper divisors): 169,350

Factor pairs (a × b = 110,010)

1 × 110010

2 × 55005

3 × 36670

5 × 22002

6 × 18335

10 × 11001

15 × 7334

19 × 5790

30 × 3667

38 × 2895

57 × 1930

95 × 1158

114 × 965

190 × 579

193 × 570

285 × 386

First multiples

110,010 · 220,020 (double) · 330,030 · 440,040 · 550,050 · 660,060 · 770,070 · 880,080 · 990,090 · 1,100,100

Sums & aliquot sequence

As consecutive integers: 36,669 + 36,670 + 36,671 27,501 + 27,502 + 27,503 + 27,504 22,000 + 22,001 + 22,002 + 22,003 + 22,004 9,162 + 9,163 + … + 9,173

Aliquot sequence: 110,010 → 169,350 → 251,010 → 401,850 → 758,790 → 1,214,298 → 1,521,702 → 2,540,538 → 5,200,902 → 8,008,698 → 8,561,382 → 9,306,138 → 9,906,918 → 13,907,226 → 15,330,534 → 15,330,546 → 27,532,494 — unresolved within range

Continued fraction of √n

√110,010 = [331; (1, 2, 9, 1, 6, 1, 4, 3, 1, 2, 1, 1, 3, 110, 3, 1, 1, 2, 1, 3, 4, 1, 6, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one hundred ten thousand ten
Ordinal: 110010th
Binary: 11010110110111010
Octal: 326672
Hexadecimal: 0x1ADBA
Base64: Aa26
One's complement: 4,294,857,285 (32-bit)
Scientific notation: 1.1001 × 10⁵
As a duration: 110,010 s = 1 day, 6 hours, 33 minutes, 30 seconds

In other bases

ternary (3) 12120220110

quaternary (4) 122312322

quinary (5) 12010020

senary (6) 2205150

septenary (7) 635505

nonary (9) 176813

undecimal (11) 7571a

duodecimal (12) 537b6

tridecimal (13) 3b0c4

tetradecimal (14) 2c13c

pentadecimal (15) 228e0

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓎆
Greek (Milesian): ͵ριιʹ
Mayan (base 20): 𝋭·𝋯·𝋠·𝋪
Chinese: 一十一萬零一十
Chinese (financial): 壹拾壹萬零壹拾

In other modern scripts

Eastern Arabic ١١٠٠١٠ Devanagari ११००१० Bengali ১১০০১০ Tamil ௧௧௦௦௧௦ Thai ๑๑๐๐๑๐ Tibetan ༡༡༠༠༡༠ Khmer ១១០០១០ Lao ໑໑໐໐໑໐ Burmese ၁၁၀၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110010, here are decompositions:

23 + 109987 = 110010
67 + 109943 = 110010
73 + 109937 = 110010
97 + 109913 = 110010
107 + 109903 = 110010
113 + 109897 = 110010
127 + 109883 = 110010
137 + 109873 = 110010

Showing the first eight; more decompositions exist.

Hex color

#01ADBA

RGB(1, 173, 186)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.186.

Address: 0.1.173.186
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.173.186

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 110,010 and was likely granted around 1871.

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

Look up US110,010 on Google Patents ↗ Look up on USPTO ↗