number.wiki
Live analysis

113,513

113,513 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.).

113,513 (one hundred thirteen thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BB69.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
45
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
315,311
Recamán's sequence
a(53,785) = 113,513
Square (n²)
12,885,201,169
Cube (n³)
1,462,637,840,296,697
Divisor count
2
σ(n) — sum of divisors
113,514
φ(n) — Euler's totient
113,512

Primality

113,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,513)
1 × 113513
First multiples
113,513 · 227,026 (double) · 340,539 · 454,052 · 567,565 · 681,078 · 794,591 · 908,104 · 1,021,617 · 1,135,130

Sums & aliquot sequence

As a sum of two squares: 77² + 328²
As consecutive integers: 56,756 + 56,757

Continued fraction of √n

√113,513 = [336; (1, 11, 29, 4, 1, 2, 9, 1, 2, 2, 1, 38, 1, 14, 1, 2, 3, 2, 20, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand five hundred thirteen
Ordinal
113513th
Binary
11011101101101001
Octal
335551
Hexadecimal
0x1BB69
Base64
Abtp
One's complement
4,294,853,782 (32-bit)
Scientific notation
1.13513 × 10⁵
As a duration
113,513 s = 1 day, 7 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 12202201012
quaternary (4) 123231221
quinary (5) 12113023
senary (6) 2233305
septenary (7) 651641
nonary (9) 182635
undecimal (11) 78314
duodecimal (12) 55835
tridecimal (13) 3c88a
tetradecimal (14) 2d521
pentadecimal (15) 23978

As an angle

113,513° = 315 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγφιγʹ
Mayan (base 20)
𝋮·𝋣·𝋯·𝋭
Chinese
一十一萬三千五百一十三
Chinese (financial)
壹拾壹萬參仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١١٣٥١٣ Devanagari ११३५१३ Bengali ১১৩৫১৩ Tamil ௧௧௩௫௧௩ Thai ๑๑๓๕๑๓ Tibetan ༡༡༣༥༡༣ Khmer ១១៣៥១៣ Lao ໑໑໓໕໑໓ Burmese ၁၁၃၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BB69
RGB(1, 187, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.105.

Address
0.1.187.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.105

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 113,513 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 113513 first appears in π at position 364,598 of the decimal expansion (the 364,598ordinal-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.

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.