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122,138

122,138 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.).

122,138 (one hundred twenty-two thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 173 × 353. Written other ways, in hexadecimal, 0x1DD1A.

Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
831,221
Square (n²)
14,917,691,044
Cube (n³)
1,822,016,948,732,072
Divisor count
8
σ(n) — sum of divisors
184,788
φ(n) — Euler's totient
60,544
Sum of prime factors
528

Primality

Prime factorization: 2 × 173 × 353

Nearest primes: 122,131 (−7) · 122,147 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 173 · 346 · 353 · 706 · 61069 (half) · 122138
Aliquot sum (sum of proper divisors): 62,650
Factor pairs (a × b = 122,138)
1 × 122138
2 × 61069
173 × 706
346 × 353
First multiples
122,138 · 244,276 (double) · 366,414 · 488,552 · 610,690 · 732,828 · 854,966 · 977,104 · 1,099,242 · 1,221,380

Sums & aliquot sequence

As a sum of two squares: 67² + 343² = 167² + 307²
As consecutive integers: 30,533 + 30,534 + 30,535 + 30,536 620 + 621 + … + 792 170 + 171 + … + 522
Aliquot sequence: 122,138 62,650 71,270 57,034 28,520 40,600 71,000 97,480 121,940 197,932 197,988 330,204 550,564 591,773 150,367 21,489 12,111 — unresolved within range

Continued fraction of √n

√122,138 = [349; (2, 13, 1, 3, 3, 1, 13, 2, 698)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred thirty-eight
Ordinal
122138th
Binary
11101110100011010
Octal
356432
Hexadecimal
0x1DD1A
Base64
Ad0a
One's complement
4,294,845,157 (32-bit)
Scientific notation
1.22138 × 10⁵
As a duration
122,138 s = 1 day, 9 hours, 55 minutes, 38 seconds
In other bases
ternary (3) 20012112122
quaternary (4) 131310122
quinary (5) 12402023
senary (6) 2341242
septenary (7) 1016042
nonary (9) 205478
undecimal (11) 83845
duodecimal (12) 5a822
tridecimal (13) 43793
tetradecimal (14) 32722
pentadecimal (15) 262c8

As an angle

122,138° = 339 × 360° + 98°
98° ≈ 1.71 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρληʹ
Mayan (base 20)
𝋯·𝋥·𝋦·𝋲
Chinese
一十二萬二千一百三十八
Chinese (financial)
壹拾貳萬貳仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٢٢١٣٨ Devanagari १२२१३८ Bengali ১২২১৩৮ Tamil ௧௨௨௧௩௮ Thai ๑๒๒๑๓๘ Tibetan ༡༢༢༡༣༨ Khmer ១២២១៣៨ Lao ໑໒໒໑໓໘ Burmese ၁၂၂၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122138, here are decompositions:

  • 7 + 122131 = 122138
  • 97 + 122041 = 122138
  • 109 + 122029 = 122138
  • 127 + 122011 = 122138
  • 229 + 121909 = 122138
  • 271 + 121867 = 122138
  • 349 + 121789 = 122138
  • 547 + 121591 = 122138

Showing the first eight; more decompositions exist.

Hex color
#01DD1A
RGB(1, 221, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.26.

Address
0.1.221.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.26

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 122,138 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 122138 first appears in π at position 157,873 of the decimal expansion (the 157,873ordinal-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.

Related reading

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