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122,108

122,108 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.).

122,108 (one hundred twenty-two thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7³ × 89. Its proper divisors sum to 129,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCFC.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
801,221
Square (n²)
14,910,363,664
Cube (n³)
1,820,674,686,283,712
Divisor count
24
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
51,744
Sum of prime factors
114

Primality

Prime factorization: 2 2 × 7 3 × 89

Nearest primes: 122,099 (−9) · 122,117 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 89 · 98 · 178 · 196 · 343 · 356 · 623 · 686 · 1246 · 1372 · 2492 · 4361 · 8722 · 17444 · 30527 · 61054 (half) · 122108
Aliquot sum (sum of proper divisors): 129,892
Factor pairs (a × b = 122,108)
1 × 122108
2 × 61054
4 × 30527
7 × 17444
14 × 8722
28 × 4361
49 × 2492
89 × 1372
98 × 1246
178 × 686
196 × 623
343 × 356
First multiples
122,108 · 244,216 (double) · 366,324 · 488,432 · 610,540 · 732,648 · 854,756 · 976,864 · 1,098,972 · 1,221,080

Sums & aliquot sequence

As consecutive integers: 17,441 + 17,442 + … + 17,447 15,260 + 15,261 + … + 15,267 2,468 + 2,469 + … + 2,516 2,153 + 2,154 + … + 2,208
Aliquot sequence: 122,108 129,892 129,948 272,244 468,300 1,087,156 1,142,540 1,599,892 1,599,948 3,109,848 5,910,312 9,036,888 16,783,272 32,806,008 60,723,792 118,375,856 124,191,952 — unresolved within range

Continued fraction of √n

√122,108 = [349; (2, 3, 1, 1, 1, 2, 1, 12, 2, 5, 1, 13, 2, 2, 1, 1, 14, 3, 2, 86, 1, 13, 3, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred eight
Ordinal
122108th
Binary
11101110011111100
Octal
356374
Hexadecimal
0x1DCFC
Base64
Adz8
One's complement
4,294,845,187 (32-bit)
Scientific notation
1.22108 × 10⁵
As a duration
122,108 s = 1 day, 9 hours, 55 minutes, 8 seconds
In other bases
ternary (3) 20012111112
quaternary (4) 131303330
quinary (5) 12401413
senary (6) 2341152
septenary (7) 1016000
nonary (9) 205445
undecimal (11) 83818
duodecimal (12) 5a7b8
tridecimal (13) 4376c
tetradecimal (14) 32700
pentadecimal (15) 262a8

As an angle

122,108° = 339 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρηʹ
Mayan (base 20)
𝋯·𝋥·𝋥·𝋨
Chinese
一十二萬二千一百零八
Chinese (financial)
壹拾貳萬貳仟壹佰零捌
In other modern scripts
Eastern Arabic ١٢٢١٠٨ Devanagari १२२१०८ Bengali ১২২১০৮ Tamil ௧௨௨௧௦௮ Thai ๑๒๒๑๐๘ Tibetan ༡༢༢༡༠༨ Khmer ១២២១០៨ Lao ໑໒໒໑໐໘ Burmese ၁၂၂၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122108, here are decompositions:

  • 67 + 122041 = 122108
  • 79 + 122029 = 122108
  • 97 + 122011 = 122108
  • 157 + 121951 = 122108
  • 199 + 121909 = 122108
  • 241 + 121867 = 122108
  • 397 + 121711 = 122108
  • 421 + 121687 = 122108

Showing the first eight; more decompositions exist.

Hex color
#01DCFC
RGB(1, 220, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.252.

Address
0.1.220.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.252

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 122,108 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 122108 first appears in π at position 716,113 of the decimal expansion (the 716,113ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.