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115,021

115,021 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.).

115,021 (one hundred fifteen thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C14D.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
120,511
Recamán's sequence
a(71,449) = 115,021
Square (n²)
13,229,830,441
Cube (n³)
1,521,708,327,154,261
Divisor count
2
σ(n) — sum of divisors
115,022
φ(n) — Euler's totient
115,020

Primality

115,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,021)
1 × 115021
First multiples
115,021 · 230,042 (double) · 345,063 · 460,084 · 575,105 · 690,126 · 805,147 · 920,168 · 1,035,189 · 1,150,210

Sums & aliquot sequence

As a sum of two squares: 10² + 339²
As consecutive integers: 57,510 + 57,511

Continued fraction of √n

√115,021 = [339; (6, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 2, 3, 2, 1, 1, 3, 3, 2, 23, 1, 3, 1, 3, …)]

Representations

In words
one hundred fifteen thousand twenty-one
Ordinal
115021st
Binary
11100000101001101
Octal
340515
Hexadecimal
0x1C14D
Base64
AcFN
One's complement
4,294,852,274 (32-bit)
Scientific notation
1.15021 × 10⁵
As a duration
115,021 s = 1 day, 7 hours, 57 minutes, 1 second
In other bases
ternary (3) 12211210001
quaternary (4) 130011031
quinary (5) 12140041
senary (6) 2244301
septenary (7) 656224
nonary (9) 184701
undecimal (11) 79465
duodecimal (12) 56691
tridecimal (13) 4047a
tetradecimal (14) 2dcbb
pentadecimal (15) 24131

As an angle

115,021° = 319 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ριεκαʹ
Mayan (base 20)
𝋮·𝋧·𝋫·𝋡
Chinese
一十一萬五千零二十一
Chinese (financial)
壹拾壹萬伍仟零貳拾壹
In other modern scripts
Eastern Arabic ١١٥٠٢١ Devanagari ११५०२१ Bengali ১১৫০২১ Tamil ௧௧௫௦௨௧ Thai ๑๑๕๐๒๑ Tibetan ༡༡༥༠༢༡ Khmer ១១៥០២១ Lao ໑໑໕໐໒໑ Burmese ၁၁၅၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 115019.

Hex color
#01C14D
RGB(1, 193, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.77.

Address
0.1.193.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.77

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 115,021 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 115021 first appears in π at position 812,010 of the decimal expansion (the 812,010ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.