number.wiki
Live analysis

121,313

121,313 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.).

121,313 (one hundred twenty-one thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D9E1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
313,121
Square (n²)
14,716,843,969
Cube (n³)
1,785,344,492,411,297
Divisor count
2
σ(n) — sum of divisors
121,314
φ(n) — Euler's totient
121,312

Primality

121,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,313)
1 × 121313
First multiples
121,313 · 242,626 (double) · 363,939 · 485,252 · 606,565 · 727,878 · 849,191 · 970,504 · 1,091,817 · 1,213,130

Sums & aliquot sequence

As a sum of two squares: 88² + 337²
As consecutive integers: 60,656 + 60,657

Continued fraction of √n

√121,313 = [348; (3, 3, 63, 36, 1, 1, 1, 5, 10, 1, 2, 2, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 3, 2, …)]

Representations

In words
one hundred twenty-one thousand three hundred thirteen
Ordinal
121313th
Binary
11101100111100001
Octal
354741
Hexadecimal
0x1D9E1
Base64
Adnh
One's complement
4,294,845,982 (32-bit)
Scientific notation
1.21313 × 10⁵
As a duration
121,313 s = 1 day, 9 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 20011102002
quaternary (4) 131213201
quinary (5) 12340223
senary (6) 2333345
septenary (7) 1013453
nonary (9) 204362
undecimal (11) 83165
duodecimal (12) 5a255
tridecimal (13) 432aa
tetradecimal (14) 322d3
pentadecimal (15) 25e28

As an angle

121,313° = 336 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκατιγʹ
Mayan (base 20)
𝋯·𝋣·𝋥·𝋭
Chinese
一十二萬一千三百一十三
Chinese (financial)
壹拾貳萬壹仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٢١٣١٣ Devanagari १२१३१३ Bengali ১২১৩১৩ Tamil ௧௨௧௩௧௩ Thai ๑๒๑๓๑๓ Tibetan ༡༢༡༣༡༣ Khmer ១២១៣១៣ Lao ໑໒໑໓໑໓ Burmese ၁၂၁၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121309.

Unicode codepoint
𝧡
Signwriting Rotation-Floorplane Alternating
U+1D9E1
Other symbol (So)

UTF-8 encoding: F0 9D A7 A1 (4 bytes).

Hex color
#01D9E1
RGB(1, 217, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.225.

Address
0.1.217.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.225

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 121,313 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.