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121,441

121,441 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.).

121,441 (one hundred twenty-one thousand four hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DA61.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
32
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
144,121
Square (n²)
14,747,916,481
Cube (n³)
1,791,001,725,369,121
Divisor count
2
σ(n) — sum of divisors
121,442
φ(n) — Euler's totient
121,440

Primality

121,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,441)
1 × 121441
First multiples
121,441 · 242,882 (double) · 364,323 · 485,764 · 607,205 · 728,646 · 850,087 · 971,528 · 1,092,969 · 1,214,410

Sums & aliquot sequence

As a sum of two squares: 96² + 335²
As consecutive integers: 60,720 + 60,721

Continued fraction of √n

√121,441 = [348; (2, 14, 1, 86, 5, 2, 1, 1, 4, 43, 2, 1, 11, 6, 1, 20, 1, 11, 1, 2, 1, 1, 5, 10, …)]

Representations

In words
one hundred twenty-one thousand four hundred forty-one
Ordinal
121441st
Binary
11101101001100001
Octal
355141
Hexadecimal
0x1DA61
Base64
Adph
One's complement
4,294,845,854 (32-bit)
Scientific notation
1.21441 × 10⁵
As a duration
121,441 s = 1 day, 9 hours, 44 minutes, 1 second
In other bases
ternary (3) 20011120211
quaternary (4) 131221201
quinary (5) 12341231
senary (6) 2334121
septenary (7) 1014025
nonary (9) 204524
undecimal (11) 83271
duodecimal (12) 5a341
tridecimal (13) 43378
tetradecimal (14) 32385
pentadecimal (15) 25eb1

As an angle

121,441° = 337 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκαυμαʹ
Mayan (base 20)
𝋯·𝋣·𝋬·𝋡
Chinese
一十二萬一千四百四十一
Chinese (financial)
壹拾貳萬壹仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ١٢١٤٤١ Devanagari १२१४४१ Bengali ১২১৪৪১ Tamil ௧௨௧௪௪௧ Thai ๑๒๑๔๔๑ Tibetan ༡༢༡༤༤༡ Khmer ១២១៤៤១ Lao ໑໒໑໔໔໑ Burmese ၁၂၁၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 121439, sexy with 121447.

Unicode codepoint
𝩡
Signwriting Teeth
U+1DA61
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A9 A1 (4 bytes).

Hex color
#01DA61
RGB(1, 218, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.97.

Address
0.1.218.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.97

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 121,441 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 121441 first appears in π at position 711,556 of the decimal expansion (the 711,556ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.