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135,601

135,601 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.).

135,601 (one hundred thirty-five thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x211B1.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
106,531
Square (n²)
18,387,631,201
Cube (n³)
2,493,381,178,486,801
Divisor count
2
σ(n) — sum of divisors
135,602
φ(n) — Euler's totient
135,600

Primality

135,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,601)
1 × 135601
First multiples
135,601 · 271,202 (double) · 406,803 · 542,404 · 678,005 · 813,606 · 949,207 · 1,084,808 · 1,220,409 · 1,356,010

Sums & aliquot sequence

As a sum of two squares: 175² + 324²
As consecutive integers: 67,800 + 67,801

Continued fraction of √n

√135,601 = [368; (4, 6, 3, 1, 2, 1, 3, 1, 22, 4, 2, 2, 1, 1, 1, 1, 3, 19, 1, 1, 1, 2, 4, 1, …)]

Representations

In words
one hundred thirty-five thousand six hundred one
Ordinal
135601st
Binary
100001000110110001
Octal
410661
Hexadecimal
0x211B1
Base64
AhGx
One's complement
4,294,831,694 (32-bit)
Scientific notation
1.35601 × 10⁵
As a duration
135,601 s = 1 day, 13 hours, 40 minutes, 1 second
In other bases
ternary (3) 20220000021
quaternary (4) 201012301
quinary (5) 13314401
senary (6) 2523441
septenary (7) 1103224
nonary (9) 226007
undecimal (11) 92974
duodecimal (12) 66581
tridecimal (13) 4994b
tetradecimal (14) 375bb
pentadecimal (15) 2a2a1

As an angle

135,601° = 376 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλεχαʹ
Mayan (base 20)
𝋰·𝋳·𝋠·𝋡
Chinese
一十三萬五千六百零一
Chinese (financial)
壹拾參萬伍仟陸佰零壹
In other modern scripts
Eastern Arabic ١٣٥٦٠١ Devanagari १३५६०१ Bengali ১৩৫৬০১ Tamil ௧௩௫௬௦௧ Thai ๑๓๕๖๐๑ Tibetan ༡༣༥༦༠༡ Khmer ១៣៥៦០១ Lao ໑໓໕໖໐໑ Burmese ၁၃၅၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135599, sexy with 135607.

Unicode codepoint
𡆱
CJK Unified Ideograph-211B1
U+211B1
Other letter (Lo)

UTF-8 encoding: F0 A1 86 B1 (4 bytes).

Hex color
#0211B1
RGB(2, 17, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.177.

Address
0.2.17.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.177

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 135,601 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.