Live analysis

112,122

112,122 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.).

112,122 (one hundred twelve thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 6,229. Its proper divisors sum to 130,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5FA.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

112,110 112,111 112,112 112,113 112,114 112,115 112,116 112,117 112,118 112,119 112,120 112,121 112,122 112,123 112,124 112,125 112,126 112,127 112,128 112,129 112,130 112,131 112,132 112,133 112,134

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 8
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 221,211
Recamán's sequence: a(247,056) = 112,122
Square (n²): 12,571,342,884
Cube (n³): 1,409,524,106,839,848
Divisor count: 12
σ(n) — sum of divisors: 242,970
φ(n) — Euler's totient: 37,368
Sum of prime factors: 6,237

Primality

Prime factorization: 2 × 3 ² × 6229

Nearest primes: 112,121 (−1) · 112,129 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 6229 · 12458 · 18687 · 37374 · 56061 (half) · 112122

Aliquot sum (sum of proper divisors): 130,848

Factor pairs (a × b = 112,122)

1 × 112122

2 × 56061

3 × 37374

6 × 18687

9 × 12458

18 × 6229

First multiples

112,122 · 224,244 (double) · 336,366 · 448,488 · 560,610 · 672,732 · 784,854 · 896,976 · 1,009,098 · 1,121,220

Sums & aliquot sequence

As a sum of two squares: 129² + 309²

As consecutive integers: 37,373 + 37,374 + 37,375 28,029 + 28,030 + 28,031 + 28,032 12,454 + 12,455 + … + 12,462 9,338 + 9,339 + … + 9,349

Aliquot sequence: 112,122 → 130,848 → 232,032 → 377,304 → 582,696 → 995,634 → 1,161,612 → 1,850,124 → 2,549,796 → 3,982,044 → 6,291,492 → 9,130,908 → 13,101,540 → 24,214,620 → 43,586,484 → 61,379,916 → 99,572,148 — unresolved within range

Continued fraction of √n

√112,122 = [334; (1, 5, 1, 1, 73, 1, 6, 1, 4, 74, 4, 1, 6, 1, 73, 1, 1, 5, 1, 668)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand one hundred twenty-two
Ordinal: 112122nd
Binary: 11011010111111010
Octal: 332772
Hexadecimal: 0x1B5FA
Base64: AbX6
One's complement: 4,294,855,173 (32-bit)
Scientific notation: 1.12122 × 10⁵
As a duration: 112,122 s = 1 day, 7 hours, 8 minutes, 42 seconds

In other bases

ternary (3) 12200210200

quaternary (4) 123113322

quinary (5) 12041442

senary (6) 2223030

septenary (7) 644613

nonary (9) 180720

undecimal (11) 7726a

duodecimal (12) 54a76

tridecimal (13) 3c05a

tetradecimal (14) 2cc0a

pentadecimal (15) 2334c

As an angle

112,122° = 311 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριβρκβʹ
Mayan (base 20): 𝋮·𝋠·𝋦·𝋢
Chinese: 一十一萬二千一百二十二
Chinese (financial): 壹拾壹萬貳仟壹佰貳拾貳

In other modern scripts

Eastern Arabic ١١٢١٢٢ Devanagari ११२१२२ Bengali ১১২১২২ Tamil ௧௧௨௧௨௨ Thai ๑๑๒๑๒๒ Tibetan ༡༡༢༡༢༢ Khmer ១១២១២២ Lao ໑໑໒໑໒໒ Burmese ၁၁၂၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112122, here are decompositions:

11 + 112111 = 112122
19 + 112103 = 112122
53 + 112069 = 112122
61 + 112061 = 112122
103 + 112019 = 112122
149 + 111973 = 112122
163 + 111959 = 112122
173 + 111949 = 112122

Showing the first eight; more decompositions exist.

Hex color

#01B5FA

RGB(1, 181, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.250.

Address: 0.1.181.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.250

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 112,122 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 US112,122 on Google Patents ↗ Look up on USPTO ↗