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120,011

120,011 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.).

120,011 (one hundred twenty thousand eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D4CB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
110,021
Recamán's sequence
a(240,074) = 120,011
Square (n²)
14,402,640,121
Cube (n³)
1,728,475,243,561,331
Divisor count
2
σ(n) — sum of divisors
120,012
φ(n) — Euler's totient
120,010

Primality

120,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,011)
1 × 120011
First multiples
120,011 · 240,022 (double) · 360,033 · 480,044 · 600,055 · 720,066 · 840,077 · 960,088 · 1,080,099 · 1,200,110

Sums & aliquot sequence

As consecutive integers: 60,005 + 60,006

Continued fraction of √n

√120,011 = [346; (2, 2, 1, 7, 2, 1, 11, 1, 11, 40, 1, 2, 20, 23, 1, 5, 2, 1, 15, 2, 2, 1, 345, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eleven
Ordinal
120011th
Binary
11101010011001011
Octal
352313
Hexadecimal
0x1D4CB
Base64
AdTL
One's complement
4,294,847,284 (32-bit)
Scientific notation
1.20011 × 10⁵
As a duration
120,011 s = 1 day, 9 hours, 20 minutes, 11 seconds
In other bases
ternary (3) 20002121212
quaternary (4) 131103023
quinary (5) 12320021
senary (6) 2323335
septenary (7) 1006613
nonary (9) 202555
undecimal (11) 82191
duodecimal (12) 5954b
tridecimal (13) 42818
tetradecimal (14) 31a43
pentadecimal (15) 2585b

As an angle

120,011° = 333 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓏺
Greek (Milesian)
͵ρκιαʹ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋫
Chinese
一十二萬零一十一
Chinese (financial)
壹拾貳萬零壹拾壹
In other modern scripts
Eastern Arabic ١٢٠٠١١ Devanagari १२००११ Bengali ১২০০১১ Tamil ௧௨௦௦௧௧ Thai ๑๒๐๐๑๑ Tibetan ༡༢༠༠༡༡ Khmer ១២០០១១ Lao ໑໒໐໐໑໑ Burmese ၁၂၀၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 120017.

Unicode codepoint
𝓋
Mathematical Script Small V
U+1D4CB
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 8B (4 bytes).

Hex color
#01D4CB
RGB(1, 212, 203)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.203.

Address
0.1.212.203
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.203

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 120,011 and was likely granted around 1871.

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

Position in π

The digit sequence 120011 first appears in π at position 213,780 of the decimal expansion (the 213,780ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.