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113,111

113,111 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.).

113,111 (one hundred thirteen thousand one hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B9D7.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
3
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
111,311
Recamán's sequence
a(246,354) = 113,111
Square (n²)
12,794,098,321
Cube (n³)
1,447,153,255,186,631
Divisor count
2
σ(n) — sum of divisors
113,112
φ(n) — Euler's totient
113,110

Primality

113,111 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113111
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,111)
1 × 113111
First multiples
113,111 · 226,222 (double) · 339,333 · 452,444 · 565,555 · 678,666 · 791,777 · 904,888 · 1,017,999 · 1,131,110

Sums & aliquot sequence

As consecutive integers: 56,555 + 56,556

Continued fraction of √n

√113,111 = [336; (3, 7, 1, 6, 1, 2, 9, 1, 2, 4, 5, 1, 7, 1, 2, 13, 9, 2, 1, 1, 34, 1, 4, 6, …)]

Representations

In words
one hundred thirteen thousand one hundred eleven
Ordinal
113111th
Binary
11011100111010111
Octal
334727
Hexadecimal
0x1B9D7
Base64
AbnX
One's complement
4,294,854,184 (32-bit)
Scientific notation
1.13111 × 10⁵
As a duration
113,111 s = 1 day, 7 hours, 25 minutes, 11 seconds
In other bases
ternary (3) 12202011022
quaternary (4) 123213113
quinary (5) 12104421
senary (6) 2231355
septenary (7) 650525
nonary (9) 182138
undecimal (11) 77a89
duodecimal (12) 5555b
tridecimal (13) 3c63b
tetradecimal (14) 2d315
pentadecimal (15) 237ab

As an angle

113,111° = 314 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓏺
Greek (Milesian)
͵ριγριαʹ
Mayan (base 20)
𝋮·𝋢·𝋯·𝋫
Chinese
一十一萬三千一百一十一
Chinese (financial)
壹拾壹萬參仟壹佰壹拾壹
In other modern scripts
Eastern Arabic ١١٣١١١ Devanagari ११३१११ Bengali ১১৩১১১ Tamil ௧௧௩௧௧௧ Thai ๑๑๓๑๑๑ Tibetan ༡༡༣༡༡༡ Khmer ១១៣១១១ Lao ໑໑໓໑໑໑ Burmese ၁၁၃၁၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113117.

Hex color
#01B9D7
RGB(1, 185, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.215.

Address
0.1.185.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.215

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 113,111 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.