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109,002

109,002 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 Arithmetic Number Cube-Free Happy Number Odious Number Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
200,901
Square (n²)
11,881,436,004
Cube (n³)
1,295,100,287,308,008
Divisor count
16
σ(n) — sum of divisors
224,352
φ(n) — Euler's totient
35,280
Sum of prime factors
533

Primality

Prime factorization: 2 × 3 × 37 × 491

Nearest primes: 109,001 (−1) · 109,013 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 37 · 74 · 111 · 222 · 491 · 982 · 1473 · 2946 · 18167 · 36334 · 54501 (half) · 109002
Aliquot sum (sum of proper divisors): 115,350
Factor pairs (a × b = 109,002)
1 × 109002
2 × 54501
3 × 36334
6 × 18167
37 × 2946
74 × 1473
111 × 982
222 × 491
First multiples
109,002 · 218,004 (double) · 327,006 · 436,008 · 545,010 · 654,012 · 763,014 · 872,016 · 981,018 · 1,090,020

Sums & aliquot sequence

As consecutive integers: 36,333 + 36,334 + 36,335 27,249 + 27,250 + 27,251 + 27,252 9,078 + 9,079 + … + 9,089 2,928 + 2,929 + … + 2,964
Aliquot sequence: 109,002 115,350 171,090 273,978 340,038 422,262 492,678 589,338 732,762 854,928 1,600,272 2,878,670 2,302,954 1,244,954 622,480 877,424 967,696 — unresolved within range

Continued fraction of √n

√109,002 = [330; (6, 2, 8, 2, 6, 660)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand two
Ordinal
109002nd
Binary
11010100111001010
Octal
324712
Hexadecimal
0x1A9CA
Base64
AanK
One's complement
4,294,858,293 (32-bit)
Scientific notation
1.09002 × 10⁵
In other bases
ternary (3) 12112112010
quaternary (4) 122213022
quinary (5) 11442002
senary (6) 2200350
septenary (7) 632535
nonary (9) 175463
undecimal (11) 74993
duodecimal (12) 530b6
tridecimal (13) 3a7ca
tetradecimal (14) 2ba1c
pentadecimal (15) 2246c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ρθβʹ
Mayan (base 20)
𝋭·𝋬·𝋪·𝋢
Chinese
一十萬九千零二
Chinese (financial)
壹拾萬玖仟零貳
In other modern scripts
Eastern Arabic ١٠٩٠٠٢ Devanagari १०९००२ Bengali ১০৯০০২ Tamil ௧௦௯௦௦௨ Thai ๑๐๙๐๐๒ Tibetan ༡༠༩༠༠༢ Khmer ១០៩០០២ Lao ໑໐໙໐໐໒ Burmese ၁၀၉၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109002, here are decompositions:

  • 11 + 108991 = 109002
  • 31 + 108971 = 109002
  • 41 + 108961 = 109002
  • 43 + 108959 = 109002
  • 53 + 108949 = 109002
  • 59 + 108943 = 109002
  • 73 + 108929 = 109002
  • 79 + 108923 = 109002

Showing the first eight; more decompositions exist.

Hex color
#01A9CA
RGB(1, 169, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.202.

Address
0.1.169.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.202

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 109,002 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 109002 first appears in π at position 22,303 of the decimal expansion (the 22,303ordinal-suffix:rd 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.