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121,591

121,591 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.).

121,591 (one hundred twenty-one thousand five hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DAF7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
90
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
195,121
Square (n²)
14,784,371,281
Cube (n³)
1,797,646,488,428,071
Divisor count
2
σ(n) — sum of divisors
121,592
φ(n) — Euler's totient
121,590

Primality

121,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121591
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,591)
1 × 121591
First multiples
121,591 · 243,182 (double) · 364,773 · 486,364 · 607,955 · 729,546 · 851,137 · 972,728 · 1,094,319 · 1,215,910

Sums & aliquot sequence

As consecutive integers: 60,795 + 60,796

Continued fraction of √n

√121,591 = [348; (1, 2, 3, 9, 1, 4, 5, 3, 46, 5, 1, 1, 3, 1, 5, 3, 1, 1, 14, 3, 1, 2, 2, 1, …)]

Representations

In words
one hundred twenty-one thousand five hundred ninety-one
Ordinal
121591st
Binary
11101101011110111
Octal
355367
Hexadecimal
0x1DAF7
Base64
Adr3
One's complement
4,294,845,704 (32-bit)
Scientific notation
1.21591 × 10⁵
As a duration
121,591 s = 1 day, 9 hours, 46 minutes, 31 seconds
In other bases
ternary (3) 20011210101
quaternary (4) 131223313
quinary (5) 12342331
senary (6) 2334531
septenary (7) 1014331
nonary (9) 204711
undecimal (11) 83398
duodecimal (12) 5a447
tridecimal (13) 43462
tetradecimal (14) 32451
pentadecimal (15) 26061

As an angle

121,591° = 337 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκαφϟαʹ
Mayan (base 20)
𝋯·𝋣·𝋳·𝋫
Chinese
一十二萬一千五百九十一
Chinese (financial)
壹拾貳萬壹仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ١٢١٥٩١ Devanagari १२१५९१ Bengali ১২১৫৯১ Tamil ௧௨௧௫௯௧ Thai ๑๒๑๕๙๑ Tibetan ༡༢༡༥༩༡ Khmer ១២១៥៩១ Lao ໑໒໑໕໙໑ Burmese ၁၂၁၅၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DAF7
RGB(1, 218, 247)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.247.

Address
0.1.218.247
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.247

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 121,591 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.