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111,341

111,341 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.).

111,341 (one hundred eleven thousand three 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, 0x1B2ED.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
12
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
143,111
Recamán's sequence
a(247,726) = 111,341
Square (n²)
12,396,818,281
Cube (n³)
1,380,274,144,224,821
Divisor count
2
σ(n) — sum of divisors
111,342
φ(n) — Euler's totient
111,340

Primality

111,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,341)
1 × 111341
First multiples
111,341 · 222,682 (double) · 334,023 · 445,364 · 556,705 · 668,046 · 779,387 · 890,728 · 1,002,069 · 1,113,410

Sums & aliquot sequence

As a sum of two squares: 221² + 250²
As consecutive integers: 55,670 + 55,671

Continued fraction of √n

√111,341 = [333; (1, 2, 9, 2, 12, 2, 1, 3, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 2, 12, 2, 9, 2, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
one hundred eleven thousand three hundred forty-one
Ordinal
111341st
Binary
11011001011101101
Octal
331355
Hexadecimal
0x1B2ED
Base64
AbLt
One's complement
4,294,855,954 (32-bit)
Scientific notation
1.11341 × 10⁵
As a duration
111,341 s = 1 day, 6 hours, 55 minutes, 41 seconds
In other bases
ternary (3) 12122201202
quaternary (4) 123023231
quinary (5) 12030331
senary (6) 2215245
septenary (7) 642416
nonary (9) 178652
undecimal (11) 7671a
duodecimal (12) 54525
tridecimal (13) 3b8a9
tetradecimal (14) 2c80d
pentadecimal (15) 22ecb

As an angle

111,341° = 309 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριατμαʹ
Mayan (base 20)
𝋭·𝋲·𝋧·𝋡
Chinese
一十一萬一千三百四十一
Chinese (financial)
壹拾壹萬壹仟參佰肆拾壹
In other modern scripts
Eastern Arabic ١١١٣٤١ Devanagari १११३४१ Bengali ১১১৩৪১ Tamil ௧௧௧௩௪௧ Thai ๑๑๑๓๔๑ Tibetan ༡༡༡༣༤༡ Khmer ១១១៣៤១ Lao ໑໑໑໓໔໑ Burmese ၁၁၁၃၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 111337, sexy with 111347.

Unicode codepoint
𛋭
Nushu Character-1B2Ed
U+1B2ED
Other letter (Lo)

UTF-8 encoding: F0 9B 8B AD (4 bytes).

Hex color
#01B2ED
RGB(1, 178, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.237.

Address
0.1.178.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.237

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 111,341 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 111341 first appears in π at position 140,481 of the decimal expansion (the 140,481ordinal-suffix:st 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.