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113,213

113,213 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.).

113,213 (one hundred thirteen 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, 0x1BA3D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
312,311
Recamán's sequence
a(246,150) = 113,213
Square (n²)
12,817,183,369
Cube (n³)
1,451,071,780,754,597
Divisor count
2
σ(n) — sum of divisors
113,214
φ(n) — Euler's totient
113,212

Primality

113,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,213)
1 × 113213
First multiples
113,213 · 226,426 (double) · 339,639 · 452,852 · 566,065 · 679,278 · 792,491 · 905,704 · 1,018,917 · 1,132,130

Sums & aliquot sequence

As a sum of two squares: 182² + 283²
As consecutive integers: 56,606 + 56,607

Continued fraction of √n

√113,213 = [336; (2, 8, 4, 5, 1, 13, 2, 10, 1, 12, 35, 2, 1, 14, 1, 1, 1, 1, 1, 23, 2, 2, 3, 1, …)]

Representations

In words
one hundred thirteen thousand two hundred thirteen
Ordinal
113213th
Binary
11011101000111101
Octal
335075
Hexadecimal
0x1BA3D
Base64
Abo9
One's complement
4,294,854,082 (32-bit)
Scientific notation
1.13213 × 10⁵
As a duration
113,213 s = 1 day, 7 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 12202022002
quaternary (4) 123220331
quinary (5) 12110323
senary (6) 2232045
septenary (7) 651032
nonary (9) 182262
undecimal (11) 78071
duodecimal (12) 55625
tridecimal (13) 3c6b9
tetradecimal (14) 2d389
pentadecimal (15) 23828

As an angle

113,213° = 314 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγσιγʹ
Mayan (base 20)
𝋮·𝋣·𝋠·𝋭
Chinese
一十一萬三千二百一十三
Chinese (financial)
壹拾壹萬參仟貳佰壹拾參
In other modern scripts
Eastern Arabic ١١٣٢١٣ Devanagari ११३२१३ Bengali ১১৩২১৩ Tamil ௧௧௩௨௧௩ Thai ๑๑๓๒๑๓ Tibetan ༡༡༣༢༡༣ Khmer ១១៣២១៣ Lao ໑໑໓໒໑໓ Burmese ၁၁၃၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113209.

Hex color
#01BA3D
RGB(1, 186, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.61.

Address
0.1.186.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.61

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 113,213 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.