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121,067

121,067 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.).

121,067 (one hundred twenty-one thousand sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D8EB.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
760,121
Square (n²)
14,657,218,489
Cube (n³)
1,774,505,470,807,763
Divisor count
2
σ(n) — sum of divisors
121,068
φ(n) — Euler's totient
121,066

Primality

121,067 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121067
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,067)
1 × 121067
First multiples
121,067 · 242,134 (double) · 363,201 · 484,268 · 605,335 · 726,402 · 847,469 · 968,536 · 1,089,603 · 1,210,670

Sums & aliquot sequence

As consecutive integers: 60,533 + 60,534

Continued fraction of √n

√121,067 = [347; (1, 17, 1, 4, 4, 14, 1, 8, 9, 1, 2, 4, 1, 1, 3, 1, 29, 2, 9, 1, 8, 2, 347, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand sixty-seven
Ordinal
121067th
Binary
11101100011101011
Octal
354353
Hexadecimal
0x1D8EB
Base64
Adjr
One's complement
4,294,846,228 (32-bit)
Scientific notation
1.21067 × 10⁵
As a duration
121,067 s = 1 day, 9 hours, 37 minutes, 47 seconds
In other bases
ternary (3) 20011001222
quaternary (4) 131203223
quinary (5) 12333232
senary (6) 2332255
septenary (7) 1012652
nonary (9) 204058
undecimal (11) 82a61
duodecimal (12) 5a08b
tridecimal (13) 4314b
tetradecimal (14) 32199
pentadecimal (15) 25d12

As an angle

121,067° = 336 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαξζʹ
Mayan (base 20)
𝋯·𝋢·𝋭·𝋧
Chinese
一十二萬一千零六十七
Chinese (financial)
壹拾貳萬壹仟零陸拾柒
In other modern scripts
Eastern Arabic ١٢١٠٦٧ Devanagari १२१०६७ Bengali ১২১০৬৭ Tamil ௧௨௧௦௬௭ Thai ๑๒๑๐๖๗ Tibetan ༡༢༡༠༦༧ Khmer ១២១០៦៧ Lao ໑໒໑໐໖໗ Burmese ၁၂၁၀၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121063.

Unicode codepoint
𝣫
Signwriting Hand-Fist Index Thumb Circle
U+1D8EB
Other symbol (So)

UTF-8 encoding: F0 9D A3 AB (4 bytes).

Hex color
#01D8EB
RGB(1, 216, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.235.

Address
0.1.216.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.235

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 121,067 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 121067 first appears in π at position 35,565 of the decimal expansion (the 35,565ordinal-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.