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136,813

136,813 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.).

136,813 (one hundred thirty-six thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2166D.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
318,631
Square (n²)
18,717,796,969
Cube (n³)
2,560,837,956,719,797
Divisor count
2
σ(n) — sum of divisors
136,814
φ(n) — Euler's totient
136,812

Primality

136,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,813)
1 × 136813
First multiples
136,813 · 273,626 (double) · 410,439 · 547,252 · 684,065 · 820,878 · 957,691 · 1,094,504 · 1,231,317 · 1,368,130

Sums & aliquot sequence

As a sum of two squares: 93² + 358²
As consecutive integers: 68,406 + 68,407

Continued fraction of √n

√136,813 = [369; (1, 7, 1, 1, 56, 2, 1, 1, 1, 26, 1, 3, 2, 2, 2, 1, 1, 3, 1, 1, 4, 1, 5, 5, …)]

Representations

In words
one hundred thirty-six thousand eight hundred thirteen
Ordinal
136813th
Binary
100001011001101101
Octal
413155
Hexadecimal
0x2166D
Base64
AhZt
One's complement
4,294,830,482 (32-bit)
Scientific notation
1.36813 × 10⁵
As a duration
136,813 s = 1 day, 14 hours, 13 seconds
In other bases
ternary (3) 20221200011
quaternary (4) 201121231
quinary (5) 13334223
senary (6) 2533221
septenary (7) 1106605
nonary (9) 227604
undecimal (11) 93876
duodecimal (12) 67211
tridecimal (13) 4a371
tetradecimal (14) 37c05
pentadecimal (15) 2a80d

As an angle

136,813° = 380 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛωιγʹ
Mayan (base 20)
𝋱·𝋢·𝋠·𝋭
Chinese
一十三萬六千八百一十三
Chinese (financial)
壹拾參萬陸仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٣٦٨١٣ Devanagari १३६८१३ Bengali ১৩৬৮১৩ Tamil ௧௩௬௮௧௩ Thai ๑๓๖๘๑๓ Tibetan ༡༣༦༨༡༣ Khmer ១៣៦៨១៣ Lao ໑໓໖໘໑໓ Burmese ၁၃၆၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136811.

Unicode codepoint
𡙭
CJK Unified Ideograph-2166D
U+2166D
Other letter (Lo)

UTF-8 encoding: F0 A1 99 AD (4 bytes).

Hex color
#02166D
RGB(2, 22, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.109.

Address
0.2.22.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.109

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 136,813 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.