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122,011

122,011 is a prime, odd.

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.).

122,011 (one hundred twenty-two thousand eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DC9B.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
110,221
Square (n²)
14,886,684,121
Cube (n³)
1,816,339,216,287,331
Divisor count
2
σ(n) — sum of divisors
122,012
φ(n) — Euler's totient
122,010

Primality

122,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,011)
1 × 122011
First multiples
122,011 · 244,022 (double) · 366,033 · 488,044 · 610,055 · 732,066 · 854,077 · 976,088 · 1,098,099 · 1,220,110

Sums & aliquot sequence

As consecutive integers: 61,005 + 61,006

Continued fraction of √n

√122,011 = [349; (3, 3, 13, 2, 1, 1, 19, 1, 19, 116, 2, 1, 1, 1, 1, 4, 2, 15, 13, 1, 1, 1, 2, 1, …)]

Representations

In words
one hundred twenty-two thousand eleven
Ordinal
122011th
Binary
11101110010011011
Octal
356233
Hexadecimal
0x1DC9B
Base64
Adyb
One's complement
4,294,845,284 (32-bit)
Scientific notation
1.22011 × 10⁵
As a duration
122,011 s = 1 day, 9 hours, 53 minutes, 31 seconds
In other bases
ternary (3) 20012100221
quaternary (4) 131302123
quinary (5) 12401021
senary (6) 2340511
septenary (7) 1015501
nonary (9) 205327
undecimal (11) 8373a
duodecimal (12) 5a737
tridecimal (13) 436c6
tetradecimal (14) 32671
pentadecimal (15) 26241

As an angle

122,011° = 338 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓏺
Greek (Milesian)
͵ρκβιαʹ
Mayan (base 20)
𝋯·𝋥·𝋠·𝋫
Chinese
一十二萬二千零一十一
Chinese (financial)
壹拾貳萬貳仟零壹拾壹
In other modern scripts
Eastern Arabic ١٢٢٠١١ Devanagari १२२०११ Bengali ১২২০১১ Tamil ௧௨௨௦௧௧ Thai ๑๒๒๐๑๑ Tibetan ༡༢༢༠༡༡ Khmer ១២២០១១ Lao ໑໒໒໐໑໑ Burmese ၁၂၂၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DC9B
RGB(1, 220, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.155.

Address
0.1.220.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.155

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 122,011 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.