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115,133

115,133 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.).

115,133 (one hundred fifteen thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C1BD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy 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
331,511
Recamán's sequence
a(71,673) = 115,133
Square (n²)
13,255,607,689
Cube (n³)
1,526,157,880,057,637
Divisor count
2
σ(n) — sum of divisors
115,134
φ(n) — Euler's totient
115,132

Primality

115,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,133)
1 × 115133
First multiples
115,133 · 230,266 (double) · 345,399 · 460,532 · 575,665 · 690,798 · 805,931 · 921,064 · 1,036,197 · 1,151,330

Sums & aliquot sequence

As a sum of two squares: 107² + 322²
As consecutive integers: 57,566 + 57,567

Continued fraction of √n

√115,133 = [339; (3, 5, 96, 1, 3, 6, 1, 2, 1, 13, 9, 4, 2, 9, 1, 1, 6, 1, 5, 1, 2, 1, 1, 2, …)]

Representations

In words
one hundred fifteen thousand one hundred thirty-three
Ordinal
115133rd
Binary
11100000110111101
Octal
340675
Hexadecimal
0x1C1BD
Base64
AcG9
One's complement
4,294,852,162 (32-bit)
Scientific notation
1.15133 × 10⁵
As a duration
115,133 s = 1 day, 7 hours, 58 minutes, 53 seconds
In other bases
ternary (3) 12211221012
quaternary (4) 130012331
quinary (5) 12141013
senary (6) 2245005
septenary (7) 656444
nonary (9) 184835
undecimal (11) 79557
duodecimal (12) 56765
tridecimal (13) 40535
tetradecimal (14) 2dd5b
pentadecimal (15) 241a8
Palindromic in base 12

As an angle

115,133° = 319 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριερλγʹ
Mayan (base 20)
𝋮·𝋧·𝋰·𝋭
Chinese
一十一萬五千一百三十三
Chinese (financial)
壹拾壹萬伍仟壹佰參拾參
In other modern scripts
Eastern Arabic ١١٥١٣٣ Devanagari ११५१३३ Bengali ১১৫১৩৩ Tamil ௧௧௫௧௩௩ Thai ๑๑๕๑๓๓ Tibetan ༡༡༥༡༣༣ Khmer ១១៥១៣៣ Lao ໑໑໕໑໓໓ Burmese ၁၁၅၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 115127.

Hex color
#01C1BD
RGB(1, 193, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.189.

Address
0.1.193.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.189

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 115,133 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 115133 first appears in π at position 37,456 of the decimal expansion (the 37,456ordinal-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.