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115,013

115,013 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.).

115,013 (one hundred fifteen thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C145.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
310,511
Recamán's sequence
a(71,433) = 115,013
Square (n²)
13,227,990,169
Cube (n³)
1,521,390,833,307,197
Divisor count
2
σ(n) — sum of divisors
115,014
φ(n) — Euler's totient
115,012

Primality

115,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,013)
1 × 115013
First multiples
115,013 · 230,026 (double) · 345,039 · 460,052 · 575,065 · 690,078 · 805,091 · 920,104 · 1,035,117 · 1,150,130

Sums & aliquot sequence

As a sum of two squares: 38² + 337²
As consecutive integers: 57,506 + 57,507

Continued fraction of √n

√115,013 = [339; (7, 2, 1, 2, 3, 1, 1, 3, 23, 9, 4, 39, 1, 1, 1, 8, 1, 8, 35, 1, 1, 2, 2, 2, …)]

Representations

In words
one hundred fifteen thousand thirteen
Ordinal
115013th
Binary
11100000101000101
Octal
340505
Hexadecimal
0x1C145
Base64
AcFF
One's complement
4,294,852,282 (32-bit)
Scientific notation
1.15013 × 10⁵
As a duration
115,013 s = 1 day, 7 hours, 56 minutes, 53 seconds
In other bases
ternary (3) 12211202202
quaternary (4) 130011011
quinary (5) 12140023
senary (6) 2244245
septenary (7) 656213
nonary (9) 184682
undecimal (11) 79458
duodecimal (12) 56685
tridecimal (13) 40472
tetradecimal (14) 2dcb3
pentadecimal (15) 24128

As an angle

115,013° = 319 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριειγʹ
Mayan (base 20)
𝋮·𝋧·𝋪·𝋭
Chinese
一十一萬五千零一十三
Chinese (financial)
壹拾壹萬伍仟零壹拾參
In other modern scripts
Eastern Arabic ١١٥٠١٣ Devanagari ११५०१३ Bengali ১১৫০১৩ Tamil ௧௧௫௦௧௩ Thai ๑๑๕๐๑๓ Tibetan ༡༡༥༠༡༣ Khmer ១១៥០១៣ Lao ໑໑໕໐໑໓ Burmese ၁၁၅၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 115019.

Hex color
#01C145
RGB(1, 193, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.69.

Address
0.1.193.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.69

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 115,013 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 115013 first appears in π at position 129,836 of the decimal expansion (the 129,836ordinal-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.