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121,867

121,867 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.).

121,867 (one hundred twenty-one thousand eight hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DC0B.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
672
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
768,121
Square (n²)
14,851,565,689
Cube (n³)
1,809,915,755,821,363
Divisor count
2
σ(n) — sum of divisors
121,868
φ(n) — Euler's totient
121,866

Primality

121,867 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121867
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,867)
1 × 121867
First multiples
121,867 · 243,734 (double) · 365,601 · 487,468 · 609,335 · 731,202 · 853,069 · 974,936 · 1,096,803 · 1,218,670

Sums & aliquot sequence

As consecutive integers: 60,933 + 60,934

Continued fraction of √n

√121,867 = [349; (10, 1, 1, 2, 1, 2, 1, 4, 1, 4, 3, 1, 2, 3, 1, 5, 2, 2, 4, 1, 1, 1, 7, 2, …)]

Representations

In words
one hundred twenty-one thousand eight hundred sixty-seven
Ordinal
121867th
Binary
11101110000001011
Octal
356013
Hexadecimal
0x1DC0B
Base64
AdwL
One's complement
4,294,845,428 (32-bit)
Scientific notation
1.21867 × 10⁵
As a duration
121,867 s = 1 day, 9 hours, 51 minutes, 7 seconds
In other bases
ternary (3) 20012011121
quaternary (4) 131300023
quinary (5) 12344432
senary (6) 2340111
septenary (7) 1015204
nonary (9) 205147
undecimal (11) 83619
duodecimal (12) 5a637
tridecimal (13) 43615
tetradecimal (14) 325ab
pentadecimal (15) 26197

As an angle

121,867° = 338 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαωξζʹ
Mayan (base 20)
𝋯·𝋤·𝋭·𝋧
Chinese
一十二萬一千八百六十七
Chinese (financial)
壹拾貳萬壹仟捌佰陸拾柒
In other modern scripts
Eastern Arabic ١٢١٨٦٧ Devanagari १२१८६७ Bengali ১২১৮৬৭ Tamil ௧௨௧௮௬௭ Thai ๑๒๑๘๖๗ Tibetan ༡༢༡༨༦༧ Khmer ១២១៨៦៧ Lao ໑໒໑໘໖໗ Burmese ၁၂၁၈၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DC0B
RGB(1, 220, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.11.

Address
0.1.220.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.11

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 121,867 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 121867 first appears in π at position 137,283 of the decimal expansion (the 137,283ordinal-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

  • 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.