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110,164

110,164 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.).

110,164 (one hundred ten thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 27,541. Written other ways, in hexadecimal, 0x1AE54.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
461,011
Recamán's sequence
a(248,968) = 110,164
Square (n²)
12,136,106,896
Cube (n³)
1,336,962,080,090,944
Divisor count
6
σ(n) — sum of divisors
192,794
φ(n) — Euler's totient
55,080
Sum of prime factors
27,545

Primality

Prime factorization: 2 2 × 27541

Nearest primes: 110,161 (−3) · 110,183 (+19)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 27541 · 55082 (half) · 110164
Aliquot sum (sum of proper divisors): 82,630
Factor pairs (a × b = 110,164)
1 × 110164
2 × 55082
4 × 27541
First multiples
110,164 · 220,328 (double) · 330,492 · 440,656 · 550,820 · 660,984 · 771,148 · 881,312 · 991,476 · 1,101,640

Sums & aliquot sequence

As a sum of two squares: 142² + 300²
As consecutive integers: 13,767 + 13,768 + … + 13,774
Aliquot sequence: 110,164 82,630 66,122 47,254 23,630 21,730 19,094 9,550 8,306 4,156 3,124 2,924 2,620 2,924 — enters a cycle

Continued fraction of √n

√110,164 = [331; (1, 10, 15, 2, 1, 7, 1, 1, 1, 1, 1, 13, 4, 1, 5, 2, 2, 38, 1, 1, 1, 3, 1, 3, …)]

Representations

In words
one hundred ten thousand one hundred sixty-four
Ordinal
110164th
Binary
11010111001010100
Octal
327124
Hexadecimal
0x1AE54
Base64
Aa5U
One's complement
4,294,857,131 (32-bit)
Scientific notation
1.10164 × 10⁵
As a duration
110,164 s = 1 day, 6 hours, 36 minutes, 4 seconds
In other bases
ternary (3) 12121010011
quaternary (4) 122321110
quinary (5) 12011124
senary (6) 2210004
septenary (7) 636115
nonary (9) 177104
undecimal (11) 7584a
duodecimal (12) 53904
tridecimal (13) 3b1b2
tetradecimal (14) 2c20c
pentadecimal (15) 22994

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριρξδʹ
Mayan (base 20)
𝋭·𝋯·𝋨·𝋤
Chinese
一十一萬零一百六十四
Chinese (financial)
壹拾壹萬零壹佰陸拾肆
In other modern scripts
Eastern Arabic ١١٠١٦٤ Devanagari ११०१६४ Bengali ১১০১৬৪ Tamil ௧௧௦௧௬௪ Thai ๑๑๐๑๖๔ Tibetan ༡༡༠༡༦༤ Khmer ១១០១៦៤ Lao ໑໑໐໑໖໔ Burmese ၁၁၀၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110164, here are decompositions:

  • 3 + 110161 = 110164
  • 101 + 110063 = 110164
  • 113 + 110051 = 110164
  • 227 + 109937 = 110164
  • 251 + 109913 = 110164
  • 281 + 109883 = 110164
  • 317 + 109847 = 110164
  • 443 + 109721 = 110164

Showing the first eight; more decompositions exist.

Hex color
#01AE54
RGB(1, 174, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.84.

Address
0.1.174.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.84

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 110,164 and was likely granted around 1871.

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

Position in π

The digit sequence 110164 first appears in π at position 328,665 of the decimal expansion (the 328,665ordinal-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