Live analysis

111,821

111,821 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.).

111,821 (one hundred eleven thousand eight 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, 0x1B4CD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

111,809 111,810 111,811 111,812 111,813 111,814 111,815 111,816 111,817 111,818 111,819 111,820 111,821 111,822 111,823 111,824 111,825 111,826 111,827 111,828 111,829 111,830 111,831 111,832 111,833

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 14
Digit product: 16
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 128,111
Square (n²): 12,503,936,041
Cube (n³): 1,398,202,632,040,661
Divisor count: 2
σ(n) — sum of divisors: 111,822
φ(n) — Euler's totient: 111,820

Primality

111,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 111821

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 111,821)

1 × 111821

First multiples

111,821 · 223,642 (double) · 335,463 · 447,284 · 559,105 · 670,926 · 782,747 · 894,568 · 1,006,389 · 1,118,210

Sums & aliquot sequence

As a sum of two squares: 115² + 314²

As consecutive integers: 55,910 + 55,911

Continued fraction of √n

√111,821 = [334; (2, 1, 1, 10, 1, 2, 1, 3, 1, 1, 3, 17, 1, 3, 1, 6, 2, 8, 2, 1, 133, 12, 1, 1, …)]

Representations

In words: one hundred eleven thousand eight hundred twenty-one
Ordinal: 111821st
Binary: 11011010011001101
Octal: 332315
Hexadecimal: 0x1B4CD
Base64: AbTN
One's complement: 4,294,855,474 (32-bit)
Scientific notation: 1.11821 × 10⁵
As a duration: 111,821 s = 1 day, 7 hours, 3 minutes, 41 seconds

In other bases

ternary (3) 12200101112

quaternary (4) 123103031

quinary (5) 12034241

senary (6) 2221405

septenary (7) 644003

nonary (9) 180345

undecimal (11) 77016

duodecimal (12) 54865

tridecimal (13) 3bb88

tetradecimal (14) 2ca73

pentadecimal (15) 231eb

As an angle

111,821° = 310 × 360° + 221°

221° ≈ 3.857 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ριαωκαʹ
Mayan (base 20): 𝋭·𝋳·𝋫·𝋡
Chinese: 一十一萬一千八百二十一
Chinese (financial): 壹拾壹萬壹仟捌佰貳拾壹

In other modern scripts

Eastern Arabic ١١١٨٢١ Devanagari १११८२१ Bengali ১১১৮২১ Tamil ௧௧௧௮௨௧ Thai ๑๑๑๘๒๑ Tibetan ༡༡༡༨༢༡ Khmer ១១១៨២១ Lao ໑໑໑໘໒໑ Burmese ၁၁၁၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 111,799 (gap of 22)
Next prime: 111,827 (gap of 6)

Pair status: sexy with 111827.

Hex color

#01B4CD

RGB(1, 180, 205)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.180.205.

Address: 0.1.180.205
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.180.205

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 111,821 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US111,821 on Google Patents ↗ Look up on USPTO ↗