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111,121

111,121 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.).

111,121 (one hundred eleven thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B211.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
2
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
121,111
Recamán's sequence
a(248,166) = 111,121
Square (n²)
12,347,876,641
Cube (n³)
1,372,108,400,224,561
Divisor count
2
σ(n) — sum of divisors
111,122
φ(n) — Euler's totient
111,120

Primality

111,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,121)
1 × 111121
First multiples
111,121 · 222,242 (double) · 333,363 · 444,484 · 555,605 · 666,726 · 777,847 · 888,968 · 1,000,089 · 1,111,210

Sums & aliquot sequence

As a sum of two squares: 120² + 311²
As consecutive integers: 55,560 + 55,561

Continued fraction of √n

√111,121 = [333; (2, 1, 6, 1, 4, 1, 2, 5, 2, 1, 8, 1, 40, 1, 3, 2, 1, 1, 1, 1, 1, 4, 1, 14, …)]

Representations

In words
one hundred eleven thousand one hundred twenty-one
Ordinal
111121st
Binary
11011001000010001
Octal
331021
Hexadecimal
0x1B211
Base64
AbIR
One's complement
4,294,856,174 (32-bit)
Scientific notation
1.11121 × 10⁵
As a duration
111,121 s = 1 day, 6 hours, 52 minutes, 1 second
In other bases
ternary (3) 12122102121
quaternary (4) 123020101
quinary (5) 12023441
senary (6) 2214241
septenary (7) 641653
nonary (9) 178377
undecimal (11) 7653a
duodecimal (12) 54381
tridecimal (13) 3b76a
tetradecimal (14) 2c6d3
pentadecimal (15) 22dd1

As an angle

111,121° = 308 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριαρκαʹ
Mayan (base 20)
𝋭·𝋱·𝋰·𝋡
Chinese
一十一萬一千一百二十一
Chinese (financial)
壹拾壹萬壹仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١١١١٢١ Devanagari ११११२१ Bengali ১১১১২১ Tamil ௧௧௧௧௨௧ Thai ๑๑๑๑๒๑ Tibetan ༡༡༡༡༢༡ Khmer ១១១១២១ Lao ໑໑໑໑໒໑ Burmese ၁၁၁၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 111119, sexy with 111127.

Unicode codepoint
𛈑
Nushu Character-1B211
U+1B211
Other letter (Lo)

UTF-8 encoding: F0 9B 88 91 (4 bytes).

Hex color
#01B211
RGB(1, 178, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.17.

Address
0.1.178.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.17

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 111,121 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 111121 first appears in π at position 575,599 of the decimal expansion (the 575,599ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.