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111,321

111,321 is a composite number, 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.).

111,321 (one hundred eleven thousand three hundred twenty-one) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3³ × 7 × 19 × 31. Written other ways, in hexadecimal, 0x1B2D9.

Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
9
Digit product
6
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
123,111
Recamán's sequence
a(247,766) = 111,321
Square (n²)
12,392,365,041
Cube (n³)
1,379,530,468,729,161
Divisor count
32
σ(n) — sum of divisors
204,800
φ(n) — Euler's totient
58,320
Sum of prime factors
66

Primality

Prime factorization: 3 3 × 7 × 19 × 31

Nearest primes: 111,317 (−4) · 111,323 (+2)

Divisors & multiples

All divisors (32)
1 · 3 · 7 · 9 · 19 · 21 · 27 · 31 · 57 · 63 · 93 · 133 · 171 · 189 · 217 · 279 · 399 · 513 · 589 · 651 · 837 · 1197 · 1767 · 1953 · 3591 · 4123 · 5301 · 5859 · 12369 · 15903 · 37107 · 111321
Aliquot sum (sum of proper divisors): 93,479
Factor pairs (a × b = 111,321)
1 × 111321
3 × 37107
7 × 15903
9 × 12369
19 × 5859
21 × 5301
27 × 4123
31 × 3591
57 × 1953
63 × 1767
93 × 1197
133 × 837
171 × 651
189 × 589
217 × 513
279 × 399
First multiples
111,321 · 222,642 (double) · 333,963 · 445,284 · 556,605 · 667,926 · 779,247 · 890,568 · 1,001,889 · 1,113,210

Sums & aliquot sequence

As a sum of two cubes: 9³ + 48³
As consecutive integers: 55,660 + 55,661 37,106 + 37,107 + 37,108 18,551 + 18,552 + 18,553 + 18,554 + 18,555 + 18,556 15,900 + 15,901 + … + 15,906
Aliquot sequence: 111,321 93,479 1 0 — terminates at zero

Continued fraction of √n

√111,321 = [333; (1, 1, 1, 5, 3, 2, 3, 10, 7, 2, 2, 73, 1, 2, 1, 4, 1, 3, 3, 1, 2, 1, 3, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred eleven thousand three hundred twenty-one
Ordinal
111321st
Binary
11011001011011001
Octal
331331
Hexadecimal
0x1B2D9
Base64
AbLZ
One's complement
4,294,855,974 (32-bit)
Scientific notation
1.11321 × 10⁵
As a duration
111,321 s = 1 day, 6 hours, 55 minutes, 21 seconds
In other bases
ternary (3) 12122201000
quaternary (4) 123023121
quinary (5) 12030241
senary (6) 2215213
septenary (7) 642360
nonary (9) 178630
undecimal (11) 76701
duodecimal (12) 54509
tridecimal (13) 3b892
tetradecimal (14) 2c7d7
pentadecimal (15) 22eb6

As an angle

111,321° = 309 × 360° + 81°
81° ≈ 1.414 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριατκαʹ
Mayan (base 20)
𝋭·𝋲·𝋦·𝋡
Chinese
一十一萬一千三百二十一
Chinese (financial)
壹拾壹萬壹仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١١١٣٢١ Devanagari १११३२१ Bengali ১১১৩২১ Tamil ௧௧௧௩௨௧ Thai ๑๑๑๓๒๑ Tibetan ༡༡༡༣༢༡ Khmer ១១១៣២១ Lao ໑໑໑໓໒໑ Burmese ၁၁၁၃၂၁

Also seen as

Unicode codepoint
𛋙
Nushu Character-1B2D9
U+1B2D9
Other letter (Lo)

UTF-8 encoding: F0 9B 8B 99 (4 bytes).

Hex color
#01B2D9
RGB(1, 178, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.217.

Address
0.1.178.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.217

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 111,321 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.