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132,113

132,113 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.).

132,113 (one hundred thirty-two thousand one hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20411.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
311,231
Recamán's sequence
a(228,146) = 132,113
Square (n²)
17,453,844,769
Cube (n³)
2,305,879,793,966,897
Divisor count
2
σ(n) — sum of divisors
132,114
φ(n) — Euler's totient
132,112

Primality

132,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,113)
1 × 132113
First multiples
132,113 · 264,226 (double) · 396,339 · 528,452 · 660,565 · 792,678 · 924,791 · 1,056,904 · 1,189,017 · 1,321,130

Sums & aliquot sequence

As a sum of two squares: 193² + 308²
As consecutive integers: 66,056 + 66,057

Continued fraction of √n

√132,113 = [363; (2, 8, 1, 16, 90, 1, 4, 4, 6, 1, 1, 3, 1, 44, 1, 1, 1, 8, 1, 1, 6, 7, 22, 1, …)]

Representations

In words
one hundred thirty-two thousand one hundred thirteen
Ordinal
132113th
Binary
100000010000010001
Octal
402021
Hexadecimal
0x20411
Base64
AgQR
One's complement
4,294,835,182 (32-bit)
Scientific notation
1.32113 × 10⁵
As a duration
132,113 s = 1 day, 12 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 20201020002
quaternary (4) 200100101
quinary (5) 13211423
senary (6) 2455345
septenary (7) 1060112
nonary (9) 221202
undecimal (11) 90293
duodecimal (12) 64555
tridecimal (13) 48197
tetradecimal (14) 36209
pentadecimal (15) 29228

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβριγʹ
Mayan (base 20)
𝋰·𝋪·𝋥·𝋭
Chinese
一十三萬二千一百一十三
Chinese (financial)
壹拾參萬貳仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٣٢١١٣ Devanagari १३२११३ Bengali ১৩২১১৩ Tamil ௧௩௨௧௧௩ Thai ๑๓๒๑๑๓ Tibetan ༡༣༢༡༡༣ Khmer ១៣២១១៣ Lao ໑໓໒໑໑໓ Burmese ၁၃၂၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 132109.

Unicode codepoint
𠐑
CJK Unified Ideograph-20411
U+20411
Other letter (Lo)

UTF-8 encoding: F0 A0 90 91 (4 bytes).

Hex color
#020411
RGB(2, 4, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.17.

Address
0.2.4.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.17

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 132,113 and was likely granted around 1872.

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.