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121,349

121,349 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.).

121,349 (one hundred twenty-one thousand three hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DA05.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
216
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
943,121
Square (n²)
14,725,579,801
Cube (n³)
1,786,934,383,271,549
Divisor count
2
σ(n) — sum of divisors
121,350
φ(n) — Euler's totient
121,348

Primality

121,349 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121349
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,349)
1 × 121349
First multiples
121,349 · 242,698 (double) · 364,047 · 485,396 · 606,745 · 728,094 · 849,443 · 970,792 · 1,092,141 · 1,213,490

Sums & aliquot sequence

As a sum of two squares: 193² + 290²
As consecutive integers: 60,674 + 60,675

Continued fraction of √n

√121,349 = [348; (2, 1, 5, 2, 1, 18, 6, 1, 10, 1, 1, 3, 2, 5, 1, 1, 1, 1, 1, 2, 1, 4, 3, 1, …)]

Representations

In words
one hundred twenty-one thousand three hundred forty-nine
Ordinal
121349th
Binary
11101101000000101
Octal
355005
Hexadecimal
0x1DA05
Base64
AdoF
One's complement
4,294,845,946 (32-bit)
Scientific notation
1.21349 × 10⁵
As a duration
121,349 s = 1 day, 9 hours, 42 minutes, 29 seconds
In other bases
ternary (3) 20011110102
quaternary (4) 131220011
quinary (5) 12340344
senary (6) 2333445
septenary (7) 1013534
nonary (9) 204412
undecimal (11) 83198
duodecimal (12) 5a285
tridecimal (13) 43307
tetradecimal (14) 3231b
pentadecimal (15) 25e4e

As an angle

121,349° = 337 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατμθʹ
Mayan (base 20)
𝋯·𝋣·𝋧·𝋩
Chinese
一十二萬一千三百四十九
Chinese (financial)
壹拾貳萬壹仟參佰肆拾玖
In other modern scripts
Eastern Arabic ١٢١٣٤٩ Devanagari १२१३४९ Bengali ১২১৩৪৯ Tamil ௧௨௧௩௪௯ Thai ๑๒๑๓๔๙ Tibetan ༡༢༡༣༤༩ Khmer ១២១៣៤៩ Lao ໑໒໑໓໔໙ Burmese ၁၂၁၃၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 121351, sexy with 121343.

Unicode codepoint
𝨅
Signwriting Head Movement-Floorplane Curve
U+1DA05
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 85 (4 bytes).

Hex color
#01DA05
RGB(1, 218, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.5.

Address
0.1.218.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.5

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 121,349 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 121349 first appears in π at position 905,642 of the decimal expansion (the 905,642ordinal-suffix:nd 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.