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109,201

109,201 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.).
Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
102,901
Square (n²)
11,924,858,401
Cube (n³)
1,302,206,462,247,601
Divisor count
2
σ(n) — sum of divisors
109,202
φ(n) — Euler's totient
109,200

Primality

109,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 109201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 109,201)
1 × 109201
First multiples
109,201 · 218,402 (double) · 327,603 · 436,804 · 546,005 · 655,206 · 764,407 · 873,608 · 982,809 · 1,092,010

Sums & aliquot sequence

As a sum of two squares: 65² + 324²
As consecutive integers: 54,600 + 54,601

Continued fraction of √n

√109,201 = [330; (2, 5, 6, 1, 2, 2, 1, 3, 18, 1, 1, 1, 1, 2, 2, 8, 2, 1, 1, 4, 1, 10, 2, 1, …)]

Representations

In words
one hundred nine thousand two hundred one
Ordinal
109201st
Binary
11010101010010001
Octal
325221
Hexadecimal
0x1AA91
Base64
AaqR
One's complement
4,294,858,094 (32-bit)
Scientific notation
1.09201 × 10⁵
As a duration
109,201 s = 1 day, 6 hours, 20 minutes, 1 second
In other bases
ternary (3) 12112210111
quaternary (4) 122222101
quinary (5) 11443301
senary (6) 2201321
septenary (7) 633241
nonary (9) 175714
undecimal (11) 75054
duodecimal (12) 53241
tridecimal (13) 3a921
tetradecimal (14) 2bb21
pentadecimal (15) 22551

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρθσαʹ
Mayan (base 20)
𝋭·𝋭·𝋠·𝋡
Chinese
一十萬九千二百零一
Chinese (financial)
壹拾萬玖仟貳佰零壹
In other modern scripts
Eastern Arabic ١٠٩٢٠١ Devanagari १०९२०१ Bengali ১০৯২০১ Tamil ௧௦௯௨௦௧ Thai ๑๐๙๒๐๑ Tibetan ༡༠༩༢༠༡ Khmer ១០៩២០១ Lao ໑໐໙໒໐໑ Burmese ၁၀၉၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 109199.

Hex color
#01AA91
RGB(1, 170, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.170.145.

Address
0.1.170.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.170.145

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 109,201 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 109201 first appears in π at position 934,411 of the decimal expansion (the 934,411ordinal-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.