Live analysis

112,120

112,120 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.).

112,120 (one hundred twelve thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,803. Its proper divisors sum to 140,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5F8.

Abundant Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

112,108 112,109 112,110 112,111 112,112 112,113 112,114 112,115 112,116 112,117 112,118 112,119 112,120 112,121 112,122 112,123 112,124 112,125 112,126 112,127 112,128 112,129 112,130 112,131 112,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 21,211
Recamán's sequence: a(247,060) = 112,120
Square (n²): 12,570,894,400
Cube (n³): 1,409,448,680,128,000
Divisor count: 16
σ(n) — sum of divisors: 252,360
φ(n) — Euler's totient: 44,832
Sum of prime factors: 2,814

Primality

Prime factorization: 2 ³ × 5 × 2803

Nearest primes: 112,111 (−9) · 112,121 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2803 · 5606 · 11212 · 14015 · 22424 · 28030 · 56060 (half) · 112120

Aliquot sum (sum of proper divisors): 140,240

Factor pairs (a × b = 112,120)

1 × 112120

2 × 56060

4 × 28030

5 × 22424

8 × 14015

10 × 11212

20 × 5606

40 × 2803

First multiples

112,120 · 224,240 (double) · 336,360 · 448,480 · 560,600 · 672,720 · 784,840 · 896,960 · 1,009,080 · 1,121,200

Sums & aliquot sequence

As consecutive integers: 22,422 + 22,423 + 22,424 + 22,425 + 22,426 7,000 + 7,001 + … + 7,015 1,362 + 1,363 + … + 1,441

Aliquot sequence: 112,120 → 140,240 → 186,004 → 227,360 → 419,020 → 625,268 → 642,124 → 809,396 → 828,940 → 1,235,444 → 1,235,500 → 1,857,044 → 1,986,796 → 1,986,852 → 3,631,068 → 7,224,084 → 13,917,036 — unresolved within range

Continued fraction of √n

√112,120 = [334; (1, 5, 2, 1, 1, 1, 2, 1, 7, 4, 33, 4, 7, 1, 2, 1, 1, 1, 2, 5, 1, 668)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand one hundred twenty
Ordinal: 112120th
Binary: 11011010111111000
Octal: 332770
Hexadecimal: 0x1B5F8
Base64: AbX4
One's complement: 4,294,855,175 (32-bit)
Scientific notation: 1.1212 × 10⁵
As a duration: 112,120 s = 1 day, 7 hours, 8 minutes, 40 seconds

In other bases

ternary (3) 12200210121

quaternary (4) 123113320

quinary (5) 12041440

senary (6) 2223024

septenary (7) 644611

nonary (9) 180717

undecimal (11) 77268

duodecimal (12) 54a74

tridecimal (13) 3c058

tetradecimal (14) 2cc08

pentadecimal (15) 2334a

As an angle

112,120° = 311 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ριβρκʹ
Mayan (base 20): 𝋮·𝋠·𝋦·𝋠
Chinese: 一十一萬二千一百二十
Chinese (financial): 壹拾壹萬貳仟壹佰貳拾

In other modern scripts

Eastern Arabic ١١٢١٢٠ Devanagari ११२१२० Bengali ১১২১২০ Tamil ௧௧௨௧௨௦ Thai ๑๑๒๑๒๐ Tibetan ༡༡༢༡༢༠ Khmer ១១២១២០ Lao ໑໑໒໑໒໐ Burmese ၁၁၂၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112120, here are decompositions:

17 + 112103 = 112120
23 + 112097 = 112120
53 + 112067 = 112120
59 + 112061 = 112120
89 + 112031 = 112120
101 + 112019 = 112120
167 + 111953 = 112120
227 + 111893 = 112120

Showing the first eight; more decompositions exist.

Hex color

#01B5F8

RGB(1, 181, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.248.

Address: 0.1.181.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.248

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 112,120 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 US112,120 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112120 first appears in π at position 260,739 of the decimal expansion (the 260,739ordinal-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.

Look up 112120 on Pi Search ↗