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111,149

111,149 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.).

111,149 (one hundred eleven thousand one 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, 0x1B22D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
36
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
941,111
Recamán's sequence
a(248,110) = 111,149
Square (n²)
12,354,100,201
Cube (n³)
1,373,145,883,240,949
Divisor count
2
σ(n) — sum of divisors
111,150
φ(n) — Euler's totient
111,148

Primality

111,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111149
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,149)
1 × 111149
First multiples
111,149 · 222,298 (double) · 333,447 · 444,596 · 555,745 · 666,894 · 778,043 · 889,192 · 1,000,341 · 1,111,490

Sums & aliquot sequence

As a sum of two squares: 130² + 307²
As consecutive integers: 55,574 + 55,575

Continued fraction of √n

√111,149 = [333; (2, 1, 1, 3, 2, 6, 1, 4, 4, 2, 5, 2, 1, 5, 1, 1, 4, 1, 32, 1, 1, 12, 3, 5, …)]

Representations

In words
one hundred eleven thousand one hundred forty-nine
Ordinal
111149th
Binary
11011001000101101
Octal
331055
Hexadecimal
0x1B22D
Base64
AbIt
One's complement
4,294,856,146 (32-bit)
Scientific notation
1.11149 × 10⁵
As a duration
111,149 s = 1 day, 6 hours, 52 minutes, 29 seconds
In other bases
ternary (3) 12122110122
quaternary (4) 123020231
quinary (5) 12024044
senary (6) 2214325
septenary (7) 642023
nonary (9) 178418
undecimal (11) 76565
duodecimal (12) 543a5
tridecimal (13) 3b78c
tetradecimal (14) 2c713
pentadecimal (15) 22dee

As an angle

111,149° = 308 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριαρμθʹ
Mayan (base 20)
𝋭·𝋱·𝋱·𝋩
Chinese
一十一萬一千一百四十九
Chinese (financial)
壹拾壹萬壹仟壹佰肆拾玖
In other modern scripts
Eastern Arabic ١١١١٤٩ Devanagari ११११४९ Bengali ১১১১৪৯ Tamil ௧௧௧௧௪௯ Thai ๑๑๑๑๔๙ Tibetan ༡༡༡༡༤༩ Khmer ១១១១៤៩ Lao ໑໑໑໑໔໙ Burmese ၁၁၁၁၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 111143.

Unicode codepoint
𛈭
Nushu Character-1B22D
U+1B22D
Other letter (Lo)

UTF-8 encoding: F0 9B 88 AD (4 bytes).

Hex color
#01B22D
RGB(1, 178, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.45.

Address
0.1.178.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.45

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 111,149 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 111149 first appears in π at position 930,186 of the decimal expansion (the 930,186ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.