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122,106

122,106 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.).

122,106 (one hundred twenty-two thousand one hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 433. Its proper divisors sum to 127,878, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCFA.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
601,221
Square (n²)
14,909,875,236
Cube (n³)
1,820,585,225,567,016
Divisor count
16
σ(n) — sum of divisors
249,984
φ(n) — Euler's totient
39,744
Sum of prime factors
485

Primality

Prime factorization: 2 × 3 × 47 × 433

Nearest primes: 122,099 (−7) · 122,117 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 433 · 866 · 1299 · 2598 · 20351 · 40702 · 61053 (half) · 122106
Aliquot sum (sum of proper divisors): 127,878
Factor pairs (a × b = 122,106)
1 × 122106
2 × 61053
3 × 40702
6 × 20351
47 × 2598
94 × 1299
141 × 866
282 × 433
First multiples
122,106 · 244,212 (double) · 366,318 · 488,424 · 610,530 · 732,636 · 854,742 · 976,848 · 1,098,954 · 1,221,060

Sums & aliquot sequence

As consecutive integers: 40,701 + 40,702 + 40,703 30,525 + 30,526 + 30,527 + 30,528 10,170 + 10,171 + … + 10,181 2,575 + 2,576 + … + 2,621
Aliquot sequence: 122,106 127,878 127,890 272,250 536,922 683,238 742,938 1,085,862 1,103,370 1,544,790 2,700,906 3,309,462 4,413,162 5,424,918 6,498,282 9,802,806 11,523,114 — unresolved within range

Continued fraction of √n

√122,106 = [349; (2, 3, 2, 4, 2, 1, 1, 1, 1, 1, 1, 27, 2, 1, 26, 4, 1, 3, 1, 1, 2, 6, 4, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred six
Ordinal
122106th
Binary
11101110011111010
Octal
356372
Hexadecimal
0x1DCFA
Base64
Adz6
One's complement
4,294,845,189 (32-bit)
Scientific notation
1.22106 × 10⁵
As a duration
122,106 s = 1 day, 9 hours, 55 minutes, 6 seconds
In other bases
ternary (3) 20012111110
quaternary (4) 131303322
quinary (5) 12401411
senary (6) 2341150
septenary (7) 1015665
nonary (9) 205443
undecimal (11) 83816
duodecimal (12) 5a7b6
tridecimal (13) 4376a
tetradecimal (14) 326dc
pentadecimal (15) 262a6

As an angle

122,106° = 339 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρϛʹ
Mayan (base 20)
𝋯·𝋥·𝋥·𝋦
Chinese
一十二萬二千一百零六
Chinese (financial)
壹拾貳萬貳仟壹佰零陸
In other modern scripts
Eastern Arabic ١٢٢١٠٦ Devanagari १२२१०६ Bengali ১২২১০৬ Tamil ௧௨௨௧௦௬ Thai ๑๒๒๑๐๖ Tibetan ༡༢༢༡༠༦ Khmer ១២២១០៦ Lao ໑໒໒໑໐໖ Burmese ၁၂၂၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122106, here are decompositions:

  • 7 + 122099 = 122106
  • 37 + 122069 = 122106
  • 53 + 122053 = 122106
  • 67 + 122039 = 122106
  • 73 + 122033 = 122106
  • 79 + 122027 = 122106
  • 109 + 121997 = 122106
  • 113 + 121993 = 122106

Showing the first eight; more decompositions exist.

Hex color
#01DCFA
RGB(1, 220, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.250.

Address
0.1.220.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.250

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 122,106 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.