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112,700

112,700 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.).

112,700 (one hundred twelve thousand seven hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 5² × 7² × 23. Its proper divisors sum to 184,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B83C.

Abundant Number Cube-Free Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
7,211
Recamán's sequence
a(246,524) = 112,700
Square (n²)
12,701,290,000
Cube (n³)
1,431,435,383,000,000
Divisor count
54
σ(n) — sum of divisors
296,856
φ(n) — Euler's totient
36,960
Sum of prime factors
51

Primality

Prime factorization: 2 2 × 5 2 × 7 2 × 23

Nearest primes: 112,691 (−9) · 112,741 (+41)

Divisors & multiples

All divisors (54)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 25 · 28 · 35 · 46 · 49 · 50 · 70 · 92 · 98 · 100 · 115 · 140 · 161 · 175 · 196 · 230 · 245 · 322 · 350 · 460 · 490 · 575 · 644 · 700 · 805 · 980 · 1127 · 1150 · 1225 · 1610 · 2254 · 2300 · 2450 · 3220 · 4025 · 4508 · 4900 · 5635 · 8050 · 11270 · 16100 · 22540 · 28175 · 56350 (half) · 112700
Aliquot sum (sum of proper divisors): 184,156
Factor pairs (a × b = 112,700)
1 × 112700
2 × 56350
4 × 28175
5 × 22540
7 × 16100
10 × 11270
14 × 8050
20 × 5635
23 × 4900
25 × 4508
28 × 4025
35 × 3220
46 × 2450
49 × 2300
50 × 2254
70 × 1610
92 × 1225
98 × 1150
100 × 1127
115 × 980
140 × 805
161 × 700
175 × 644
196 × 575
230 × 490
245 × 460
322 × 350
First multiples
112,700 · 225,400 (double) · 338,100 · 450,800 · 563,500 · 676,200 · 788,900 · 901,600 · 1,014,300 · 1,127,000

Sums & aliquot sequence

As consecutive integers: 22,538 + 22,539 + 22,540 + 22,541 + 22,542 16,097 + 16,098 + … + 16,103 14,084 + 14,085 + … + 14,091 4,889 + 4,890 + … + 4,911
Aliquot sequence: 112,700 184,156 184,212 392,364 786,660 1,731,996 3,644,004 7,194,012 11,990,244 20,153,756 23,311,204 23,778,524 30,517,396 40,042,604 41,473,096 47,397,944 51,011,656 — unresolved within range

Continued fraction of √n

√112,700 = [335; (1, 2, 2, 2, 1, 12, 1, 166, 1, 12, 1, 2, 2, 2, 1, 670)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand seven hundred
Ordinal
112700th
Binary
11011100000111100
Octal
334074
Hexadecimal
0x1B83C
Base64
Abg8
One's complement
4,294,854,595 (32-bit)
Scientific notation
1.127 × 10⁵
As a duration
112,700 s = 1 day, 7 hours, 18 minutes, 20 seconds
In other bases
ternary (3) 12201121002
quaternary (4) 123200330
quinary (5) 12101300
senary (6) 2225432
septenary (7) 646400
nonary (9) 181532
undecimal (11) 77745
duodecimal (12) 55278
tridecimal (13) 3c3b3
tetradecimal (14) 2d100
pentadecimal (15) 235d5

As an angle

112,700° = 313 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριβψʹ
Mayan (base 20)
𝋮·𝋡·𝋯·𝋠
Chinese
一十一萬二千七百
Chinese (financial)
壹拾壹萬貳仟柒佰
In other modern scripts
Eastern Arabic ١١٢٧٠٠ Devanagari ११२७०० Bengali ১১২৭০০ Tamil ௧௧௨௭௦௦ Thai ๑๑๒๗๐๐ Tibetan ༡༡༢༧༠༠ Khmer ១១២៧០០ Lao ໑໑໒໗໐໐ Burmese ၁၁၂၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112700, here are decompositions:

  • 13 + 112687 = 112700
  • 37 + 112663 = 112700
  • 43 + 112657 = 112700
  • 79 + 112621 = 112700
  • 97 + 112603 = 112700
  • 127 + 112573 = 112700
  • 157 + 112543 = 112700
  • 193 + 112507 = 112700

Showing the first eight; more decompositions exist.

Hex color
#01B83C
RGB(1, 184, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.60.

Address
0.1.184.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.60

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 112,700 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 112700 first appears in π at position 4,251 of the decimal expansion (the 4,251ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.