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122,036

122,036 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.).

122,036 (one hundred twenty-two thousand thirty-six) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 30,509. Written other ways, in hexadecimal, 0x1DCB4.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
630,221
Square (n²)
14,892,785,296
Cube (n³)
1,817,455,946,382,656
Divisor count
6
σ(n) — sum of divisors
213,570
φ(n) — Euler's totient
61,016
Sum of prime factors
30,513

Primality

Prime factorization: 2 2 × 30509

Nearest primes: 122,033 (−3) · 122,039 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 30509 · 61018 (half) · 122036
Aliquot sum (sum of proper divisors): 91,534
Factor pairs (a × b = 122,036)
1 × 122036
2 × 61018
4 × 30509
First multiples
122,036 · 244,072 (double) · 366,108 · 488,144 · 610,180 · 732,216 · 854,252 · 976,288 · 1,098,324 · 1,220,360

Sums & aliquot sequence

As a sum of two squares: 244² + 250²
As consecutive integers: 15,251 + 15,252 + … + 15,258
Aliquot sequence: 122,036 91,534 45,770 40,630 37,130 31,990 33,962 16,984 17,936 19,264 25,440 56,208 89,120 121,804 97,380 198,552 297,888 — unresolved within range

Continued fraction of √n

√122,036 = [349; (2, 1, 34, 3, 1, 2, 1, 27, 4, 1, 2, 5, 1, 4, 1, 2, 1, 18, 6, 1, 14, 139, 1, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand thirty-six
Ordinal
122036th
Binary
11101110010110100
Octal
356264
Hexadecimal
0x1DCB4
Base64
Ady0
One's complement
4,294,845,259 (32-bit)
Scientific notation
1.22036 × 10⁵
As a duration
122,036 s = 1 day, 9 hours, 53 minutes, 56 seconds
In other bases
ternary (3) 20012101212
quaternary (4) 131302310
quinary (5) 12401121
senary (6) 2340552
septenary (7) 1015535
nonary (9) 205355
undecimal (11) 83762
duodecimal (12) 5a758
tridecimal (13) 43715
tetradecimal (14) 3268c
pentadecimal (15) 2625b

As an angle

122,036° = 338 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβλϛʹ
Mayan (base 20)
𝋯·𝋥·𝋡·𝋰
Chinese
一十二萬二千零三十六
Chinese (financial)
壹拾貳萬貳仟零參拾陸
In other modern scripts
Eastern Arabic ١٢٢٠٣٦ Devanagari १२२०३६ Bengali ১২২০৩৬ Tamil ௧௨௨௦௩௬ Thai ๑๒๒๐๓๖ Tibetan ༡༢༢༠༣༦ Khmer ១២២០៣៦ Lao ໑໒໒໐໓໖ Burmese ၁၂၂၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122036, here are decompositions:

  • 3 + 122033 = 122036
  • 7 + 122029 = 122036
  • 43 + 121993 = 122036
  • 73 + 121963 = 122036
  • 127 + 121909 = 122036
  • 193 + 121843 = 122036
  • 349 + 121687 = 122036
  • 457 + 121579 = 122036

Showing the first eight; more decompositions exist.

Hex color
#01DCB4
RGB(1, 220, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.180.

Address
0.1.220.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.180

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 122,036 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 122036 first appears in π at position 635,537 of the decimal expansion (the 635,537ordinal-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.