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113,322

113,322 is a composite number, even.

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.).

113,322 (one hundred thirteen thousand three hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 17 × 101. Its proper divisors sum to 151,062, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAAA.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
223,311
Recamán's sequence
a(245,932) = 113,322
Square (n²)
12,841,875,684
Cube (n³)
1,455,267,036,262,248
Divisor count
32
σ(n) — sum of divisors
264,384
φ(n) — Euler's totient
32,000
Sum of prime factors
134

Primality

Prime factorization: 2 × 3 × 11 × 17 × 101

Nearest primes: 113,287 (−35) · 113,327 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 17 · 22 · 33 · 34 · 51 · 66 · 101 · 102 · 187 · 202 · 303 · 374 · 561 · 606 · 1111 · 1122 · 1717 · 2222 · 3333 · 3434 · 5151 · 6666 · 10302 · 18887 · 37774 · 56661 (half) · 113322
Aliquot sum (sum of proper divisors): 151,062
Factor pairs (a × b = 113,322)
1 × 113322
2 × 56661
3 × 37774
6 × 18887
11 × 10302
17 × 6666
22 × 5151
33 × 3434
34 × 3333
51 × 2222
66 × 1717
101 × 1122
102 × 1111
187 × 606
202 × 561
303 × 374
First multiples
113,322 · 226,644 (double) · 339,966 · 453,288 · 566,610 · 679,932 · 793,254 · 906,576 · 1,019,898 · 1,133,220

Sums & aliquot sequence

As consecutive integers: 37,773 + 37,774 + 37,775 28,329 + 28,330 + 28,331 + 28,332 10,297 + 10,298 + … + 10,307 9,438 + 9,439 + … + 9,449
Aliquot sequence: 113,322 151,062 169,050 339,846 392,298 399,318 399,330 776,790 1,627,722 2,078,838 2,591,082 3,611,478 4,167,258 4,220,358 4,220,370 10,554,030 17,590,770 — unresolved within range

Continued fraction of √n

√113,322 = [336; (1, 1, 1, 2, 1, 1, 1, 672)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred twenty-two
Ordinal
113322nd
Binary
11011101010101010
Octal
335252
Hexadecimal
0x1BAAA
Base64
Abqq
One's complement
4,294,853,973 (32-bit)
Scientific notation
1.13322 × 10⁵
As a duration
113,322 s = 1 day, 7 hours, 28 minutes, 42 seconds
In other bases
ternary (3) 12202110010
quaternary (4) 123222222
quinary (5) 12111242
senary (6) 2232350
septenary (7) 651246
nonary (9) 182403
undecimal (11) 78160
duodecimal (12) 556b6
tridecimal (13) 3c771
tetradecimal (14) 2d426
pentadecimal (15) 2389c

As an angle

113,322° = 314 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγτκβʹ
Mayan (base 20)
𝋮·𝋣·𝋦·𝋢
Chinese
一十一萬三千三百二十二
Chinese (financial)
壹拾壹萬參仟參佰貳拾貳
In other modern scripts
Eastern Arabic ١١٣٣٢٢ Devanagari ११३३२२ Bengali ১১৩৩২২ Tamil ௧௧௩௩௨௨ Thai ๑๑๓๓๒๒ Tibetan ༡༡༣༣༢༢ Khmer ១១៣៣២២ Lao ໑໑໓໓໒໒ Burmese ၁၁၃၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113322, here are decompositions:

  • 43 + 113279 = 113322
  • 89 + 113233 = 113322
  • 109 + 113213 = 113322
  • 113 + 113209 = 113322
  • 149 + 113173 = 113322
  • 151 + 113171 = 113322
  • 163 + 113159 = 113322
  • 173 + 113149 = 113322

Showing the first eight; more decompositions exist.

Hex color
#01BAAA
RGB(1, 186, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.170.

Address
0.1.186.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.170

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 113,322 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 113322 first appears in π at position 264,154 of the decimal expansion (the 264,154ordinal-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

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