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111,721

111,721 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.).

111,721 (one hundred eleven thousand seven 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, 0x1B469.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
14
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
127,111
Square (n²)
12,481,581,841
Cube (n³)
1,394,454,804,858,361
Divisor count
2
σ(n) — sum of divisors
111,722
φ(n) — Euler's totient
111,720

Primality

111,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,721)
1 × 111721
First multiples
111,721 · 223,442 (double) · 335,163 · 446,884 · 558,605 · 670,326 · 782,047 · 893,768 · 1,005,489 · 1,117,210

Sums & aliquot sequence

As a sum of two squares: 205² + 264²
As consecutive integers: 55,860 + 55,861

Continued fraction of √n

√111,721 = [334; (4, 20, 133, 1, 1, 1, 5, 1, 3, 4, 1, 25, 1, 13, 3, 1, 5, 6, 5, 5, 2, 1, 1, 1, …)]

Representations

In words
one hundred eleven thousand seven hundred twenty-one
Ordinal
111721st
Binary
11011010001101001
Octal
332151
Hexadecimal
0x1B469
Base64
AbRp
One's complement
4,294,855,574 (32-bit)
Scientific notation
1.11721 × 10⁵
As a duration
111,721 s = 1 day, 7 hours, 2 minutes, 1 second
In other bases
ternary (3) 12200020211
quaternary (4) 123101221
quinary (5) 12033341
senary (6) 2221121
septenary (7) 643501
nonary (9) 180224
undecimal (11) 76a35
duodecimal (12) 547a1
tridecimal (13) 3bb0c
tetradecimal (14) 2ca01
pentadecimal (15) 23181

As an angle

111,721° = 310 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριαψκαʹ
Mayan (base 20)
𝋭·𝋳·𝋦·𝋡
Chinese
一十一萬一千七百二十一
Chinese (financial)
壹拾壹萬壹仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١١١٧٢١ Devanagari १११७२१ Bengali ১১১৭২১ Tamil ௧௧௧௭௨௧ Thai ๑๑๑๗๒๑ Tibetan ༡༡༡༧༢༡ Khmer ១១១៧២១ Lao ໑໑໑໗໒໑ Burmese ၁၁၁၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B469
RGB(1, 180, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.180.105.

Address
0.1.180.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.180.105

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 111,721 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 111721 first appears in π at position 794,421 of the decimal expansion (the 794,421ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.