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136,193

136,193 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.).

136,193 (one hundred thirty-six thousand one hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21401.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
391,631
Square (n²)
18,548,533,249
Cube (n³)
2,526,180,388,781,057
Divisor count
2
σ(n) — sum of divisors
136,194
φ(n) — Euler's totient
136,192

Primality

136,193 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136193
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,193)
1 × 136193
First multiples
136,193 · 272,386 (double) · 408,579 · 544,772 · 680,965 · 817,158 · 953,351 · 1,089,544 · 1,225,737 · 1,361,930

Sums & aliquot sequence

As a sum of two squares: 232² + 287²
As consecutive integers: 68,096 + 68,097

Continued fraction of √n

√136,193 = [369; (23, 15, 1, 1, 1, 17, 2, 1, 11, 2, 2, 1, 11, 1, 3, 1, 14, 3, 1, 3, 9, 13, 13, 1, …)]

Representations

In words
one hundred thirty-six thousand one hundred ninety-three
Ordinal
136193rd
Binary
100001010000000001
Octal
412001
Hexadecimal
0x21401
Base64
AhQB
One's complement
4,294,831,102 (32-bit)
Scientific notation
1.36193 × 10⁵
As a duration
136,193 s = 1 day, 13 hours, 49 minutes, 53 seconds
In other bases
ternary (3) 20220211012
quaternary (4) 201100001
quinary (5) 13324233
senary (6) 2530305
septenary (7) 1105031
nonary (9) 226735
undecimal (11) 93362
duodecimal (12) 66995
tridecimal (13) 49cb5
tetradecimal (14) 378c1
pentadecimal (15) 2a548

As an angle

136,193° = 378 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛρϟγʹ
Mayan (base 20)
𝋱·𝋠·𝋩·𝋭
Chinese
一十三萬六千一百九十三
Chinese (financial)
壹拾參萬陸仟壹佰玖拾參
In other modern scripts
Eastern Arabic ١٣٦١٩٣ Devanagari १३६१९३ Bengali ১৩৬১৯৩ Tamil ௧௩௬௧௯௩ Thai ๑๓๖๑๙๓ Tibetan ༡༣༦༡༩༣ Khmer ១៣៦១៩៣ Lao ໑໓໖໑໙໓ Burmese ၁၃၆၁၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 136189.

Unicode codepoint
𡐁
CJK Unified Ideograph-21401
U+21401
Other letter (Lo)

UTF-8 encoding: F0 A1 90 81 (4 bytes).

Hex color
#021401
RGB(2, 20, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.1.

Address
0.2.20.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.1

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 136,193 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136193 first appears in π at position 515,009 of the decimal expansion (the 515,009ordinal-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.