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122,116

122,116 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.).

122,116 (one hundred twenty-two thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 30,529. Written other ways, in hexadecimal, 0x1DD04.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
24
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
611,221
Square (n²)
14,912,317,456
Cube (n³)
1,821,032,558,456,896
Divisor count
6
σ(n) — sum of divisors
213,710
φ(n) — Euler's totient
61,056
Sum of prime factors
30,533

Primality

Prime factorization: 2 2 × 30529

Nearest primes: 122,099 (−17) · 122,117 (+1)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 30529 · 61058 (half) · 122116
Aliquot sum (sum of proper divisors): 91,594
Factor pairs (a × b = 122,116)
1 × 122116
2 × 61058
4 × 30529
First multiples
122,116 · 244,232 (double) · 366,348 · 488,464 · 610,580 · 732,696 · 854,812 · 976,928 · 1,099,044 · 1,221,160

Sums & aliquot sequence

As a sum of two squares: 240² + 254²
As consecutive integers: 15,261 + 15,262 + … + 15,268
Aliquot sequence: 122,116 91,594 49,274 25,894 17,198 8,602 6,950 6,070 4,874 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 — unresolved within range

Continued fraction of √n

√122,116 = [349; (2, 4, 1, 1, 1, 1, 21, 4, 3, 2, 1, 1, 5, 10, 1, 2, 1, 6, 1, 1, 6, 2, 4, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred sixteen
Ordinal
122116th
Binary
11101110100000100
Octal
356404
Hexadecimal
0x1DD04
Base64
Ad0E
One's complement
4,294,845,179 (32-bit)
Scientific notation
1.22116 × 10⁵
As a duration
122,116 s = 1 day, 9 hours, 55 minutes, 16 seconds
In other bases
ternary (3) 20012111211
quaternary (4) 131310010
quinary (5) 12401431
senary (6) 2341204
septenary (7) 1016011
nonary (9) 205454
undecimal (11) 83825
duodecimal (12) 5a804
tridecimal (13) 43777
tetradecimal (14) 32708
pentadecimal (15) 262b1

As an angle

122,116° = 339 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβριϛʹ
Mayan (base 20)
𝋯·𝋥·𝋥·𝋰
Chinese
一十二萬二千一百一十六
Chinese (financial)
壹拾貳萬貳仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١٢٢١١٦ Devanagari १२२११६ Bengali ১২২১১৬ Tamil ௧௨௨௧௧௬ Thai ๑๒๒๑๑๖ Tibetan ༡༢༢༡༡༦ Khmer ១២២១១៦ Lao ໑໒໒໑໑໖ Burmese ၁၂၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122116, here are decompositions:

  • 17 + 122099 = 122116
  • 47 + 122069 = 122116
  • 83 + 122033 = 122116
  • 89 + 122027 = 122116
  • 149 + 121967 = 122116
  • 167 + 121949 = 122116
  • 179 + 121937 = 122116
  • 227 + 121889 = 122116

Showing the first eight; more decompositions exist.

Hex color
#01DD04
RGB(1, 221, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.4.

Address
0.1.221.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.4

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 122,116 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 122116 first appears in π at position 121,101 of the decimal expansion (the 121,101ordinal-suffix:st 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