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115,201

115,201 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.).

115,201 (one hundred fifteen thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C201.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
102,511
Recamán's sequence
a(71,809) = 115,201
Square (n²)
13,271,270,401
Cube (n³)
1,528,863,621,465,601
Divisor count
2
σ(n) — sum of divisors
115,202
φ(n) — Euler's totient
115,200

Primality

115,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,201)
1 × 115201
First multiples
115,201 · 230,402 (double) · 345,603 · 460,804 · 576,005 · 691,206 · 806,407 · 921,608 · 1,036,809 · 1,152,010

Sums & aliquot sequence

As a sum of two squares: 224² + 255²
As consecutive integers: 57,600 + 57,601

Continued fraction of √n

√115,201 = [339; (2, 2, 2, 1, 2, 1, 7, 1, 3, 11, 1, 6, 2, 1, 1, 1, 2, 12, 1, 13, 4, 1, 1, 1, …)]

Representations

In words
one hundred fifteen thousand two hundred one
Ordinal
115201st
Binary
11100001000000001
Octal
341001
Hexadecimal
0x1C201
Base64
AcIB
One's complement
4,294,852,094 (32-bit)
Scientific notation
1.15201 × 10⁵
As a duration
115,201 s = 1 day, 8 hours, 1 second
In other bases
ternary (3) 12212000201
quaternary (4) 130020001
quinary (5) 12141301
senary (6) 2245201
septenary (7) 656602
nonary (9) 185021
undecimal (11) 79609
duodecimal (12) 56801
tridecimal (13) 40588
tetradecimal (14) 2dda9
pentadecimal (15) 24201

As an angle

115,201° = 320 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ριεσαʹ
Mayan (base 20)
𝋮·𝋨·𝋠·𝋡
Chinese
一十一萬五千二百零一
Chinese (financial)
壹拾壹萬伍仟貳佰零壹
In other modern scripts
Eastern Arabic ١١٥٢٠١ Devanagari ११५२०१ Bengali ১১৫২০১ Tamil ௧௧௫௨௦௧ Thai ๑๑๕๒๐๑ Tibetan ༡༡༥༢༠༡ Khmer ១១៥២០១ Lao ໑໑໕໒໐໑ Burmese ၁၁၅၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C201
RGB(1, 194, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.1.

Address
0.1.194.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.194.1

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 115,201 and was likely granted around 1871.

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

Position in π

The digit sequence 115201 first appears in π at position 209,049 of the decimal expansion (the 209,049ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.