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121,108

121,108 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.).

121,108 (one hundred twenty-one thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 17 × 137. Its proper divisors sum to 122,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D914.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
801,121
Square (n²)
14,667,147,664
Cube (n³)
1,776,308,919,291,712
Divisor count
24
σ(n) — sum of divisors
243,432
φ(n) — Euler's totient
52,224
Sum of prime factors
171

Primality

Prime factorization: 2 2 × 13 × 17 × 137

Nearest primes: 121,081 (−27) · 121,123 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 17 · 26 · 34 · 52 · 68 · 137 · 221 · 274 · 442 · 548 · 884 · 1781 · 2329 · 3562 · 4658 · 7124 · 9316 · 30277 · 60554 (half) · 121108
Aliquot sum (sum of proper divisors): 122,324
Factor pairs (a × b = 121,108)
1 × 121108
2 × 60554
4 × 30277
13 × 9316
17 × 7124
26 × 4658
34 × 3562
52 × 2329
68 × 1781
137 × 884
221 × 548
274 × 442
First multiples
121,108 · 242,216 (double) · 363,324 · 484,432 · 605,540 · 726,648 · 847,756 · 968,864 · 1,089,972 · 1,211,080

Sums & aliquot sequence

As a sum of two squares: 2² + 348² = 132² + 322² = 162² + 308² = 222² + 268²
As consecutive integers: 15,135 + 15,136 + … + 15,142 9,310 + 9,311 + … + 9,322 7,116 + 7,117 + … + 7,132 1,113 + 1,114 + … + 1,216
Aliquot sequence: 121,108 122,324 96,160 131,396 101,452 89,844 119,820 215,844 287,820 700,020 1,423,920 3,263,280 6,853,632 12,404,544 22,501,152 43,681,734 56,758,266 — unresolved within range

Continued fraction of √n

√121,108 = [348; (174, 696)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred eight
Ordinal
121108th
Binary
11101100100010100
Octal
354424
Hexadecimal
0x1D914
Base64
AdkU
One's complement
4,294,846,187 (32-bit)
Scientific notation
1.21108 × 10⁵
As a duration
121,108 s = 1 day, 9 hours, 38 minutes, 28 seconds
In other bases
ternary (3) 20011010111
quaternary (4) 131210110
quinary (5) 12333413
senary (6) 2332404
septenary (7) 1013041
nonary (9) 204114
undecimal (11) 82a99
duodecimal (12) 5a104
tridecimal (13) 43180
tetradecimal (14) 321c8
pentadecimal (15) 25d3d

As an angle

121,108° = 336 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρηʹ
Mayan (base 20)
𝋯·𝋢·𝋯·𝋨
Chinese
一十二萬一千一百零八
Chinese (financial)
壹拾貳萬壹仟壹佰零捌
In other modern scripts
Eastern Arabic ١٢١١٠٨ Devanagari १२११०८ Bengali ১২১১০৮ Tamil ௧௨௧௧௦௮ Thai ๑๒๑๑๐๘ Tibetan ༡༢༡༡༠༨ Khmer ១២១១០៨ Lao ໑໒໑໑໐໘ Burmese ၁၂၁၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121108, here are decompositions:

  • 41 + 121067 = 121108
  • 47 + 121061 = 121108
  • 89 + 121019 = 121108
  • 101 + 121007 = 121108
  • 107 + 121001 = 121108
  • 131 + 120977 = 121108
  • 167 + 120941 = 121108
  • 179 + 120929 = 121108

Showing the first eight; more decompositions exist.

Unicode codepoint
𝤔
Signwriting Surface Symbols
U+1D914
Other symbol (So)

UTF-8 encoding: F0 9D A4 94 (4 bytes).

Hex color
#01D914
RGB(1, 217, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.20.

Address
0.1.217.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.20

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 121,108 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 121108 first appears in π at position 783,560 of the decimal expansion (the 783,560ordinal-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