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112,213

112,213 is a prime, 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.).

112,213 (one hundred twelve thousand two hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B655.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
312,211
Square (n²)
12,591,757,369
Cube (n³)
1,412,958,869,647,597
Divisor count
2
σ(n) — sum of divisors
112,214
φ(n) — Euler's totient
112,212

Primality

112,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,213)
1 × 112213
First multiples
112,213 · 224,426 (double) · 336,639 · 448,852 · 561,065 · 673,278 · 785,491 · 897,704 · 1,009,917 · 1,122,130

Sums & aliquot sequence

As a sum of two squares: 153² + 298²
As consecutive integers: 56,106 + 56,107

Continued fraction of √n

√112,213 = [334; (1, 54, 1, 4, 1, 17, 1, 3, 2, 24, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 15, 1, 1, 1, …)]

Representations

In words
one hundred twelve thousand two hundred thirteen
Ordinal
112213th
Binary
11011011001010101
Octal
333125
Hexadecimal
0x1B655
Base64
AbZV
One's complement
4,294,855,082 (32-bit)
Scientific notation
1.12213 × 10⁵
As a duration
112,213 s = 1 day, 7 hours, 10 minutes, 13 seconds
In other bases
ternary (3) 12200221001
quaternary (4) 123121111
quinary (5) 12042323
senary (6) 2223301
septenary (7) 645103
nonary (9) 180831
undecimal (11) 77342
duodecimal (12) 54b31
tridecimal (13) 3c0ca
tetradecimal (14) 2cc73
pentadecimal (15) 233ad

As an angle

112,213° = 311 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριβσιγʹ
Mayan (base 20)
𝋮·𝋠·𝋪·𝋭
Chinese
一十一萬二千二百一十三
Chinese (financial)
壹拾壹萬貳仟貳佰壹拾參
In other modern scripts
Eastern Arabic ١١٢٢١٣ Devanagari ११२२१३ Bengali ১১২২১৩ Tamil ௧௧௨௨௧௩ Thai ๑๑๒๒๑๓ Tibetan ༡༡༢༢༡༣ Khmer ១១២២១៣ Lao ໑໑໒໒໑໓ Burmese ၁၁၂၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 112207.

Hex color
#01B655
RGB(1, 182, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.85.

Address
0.1.182.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.85

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 112,213 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.