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135,913

135,913 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.).

135,913 (one hundred thirty-five thousand nine hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x212E9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
405
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
319,531
Square (n²)
18,472,343,569
Cube (n³)
2,510,631,631,493,497
Divisor count
2
σ(n) — sum of divisors
135,914
φ(n) — Euler's totient
135,912

Primality

135,913 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135913
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,913)
1 × 135913
First multiples
135,913 · 271,826 (double) · 407,739 · 543,652 · 679,565 · 815,478 · 951,391 · 1,087,304 · 1,223,217 · 1,359,130

Sums & aliquot sequence

As a sum of two squares: 92² + 357²
As consecutive integers: 67,956 + 67,957

Continued fraction of √n

√135,913 = [368; (1, 1, 1, 38, 7, 7, 1, 1, 6, 19, 1, 3, 2, 3, 1, 1, 3, 2, 3, 1, 19, 6, 1, 1, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred thirteen
Ordinal
135913th
Binary
100001001011101001
Octal
411351
Hexadecimal
0x212E9
Base64
AhLp
One's complement
4,294,831,382 (32-bit)
Scientific notation
1.35913 × 10⁵
As a duration
135,913 s = 1 day, 13 hours, 45 minutes, 13 seconds
In other bases
ternary (3) 20220102211
quaternary (4) 201023221
quinary (5) 13322123
senary (6) 2525121
septenary (7) 1104151
nonary (9) 226384
undecimal (11) 93128
duodecimal (12) 667a1
tridecimal (13) 49b2b
tetradecimal (14) 37761
pentadecimal (15) 2a40d

As an angle

135,913° = 377 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡιγʹ
Mayan (base 20)
𝋰·𝋳·𝋯·𝋭
Chinese
一十三萬五千九百一十三
Chinese (financial)
壹拾參萬伍仟玖佰壹拾參
In other modern scripts
Eastern Arabic ١٣٥٩١٣ Devanagari १३५९१३ Bengali ১৩৫৯১৩ Tamil ௧௩௫௯௧௩ Thai ๑๓๕๙๑๓ Tibetan ༡༣༥༩༡༣ Khmer ១៣៥៩១៣ Lao ໑໓໕໙໑໓ Burmese ၁၃၅၉၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135911.

Unicode codepoint
𡋩
CJK Unified Ideograph-212E9
U+212E9
Other letter (Lo)

UTF-8 encoding: F0 A1 8B A9 (4 bytes).

Hex color
#0212E9
RGB(2, 18, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.233.

Address
0.2.18.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.233

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 135,913 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.