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Number

20,201

20,201 is a prime, odd.

Arithmetic Number Balanced Prime Chen Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
10,202
Recamán's sequence
a(5,085) = 20,201
Square (n²)
408,080,401
Cube (n³)
8,243,632,180,601
Divisor count
2
σ(n) — sum of divisors
20,202
φ(n) — Euler's totient
20,200

Primality

20,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,201)
1 × 20201
First multiples
20,201 · 40,402 (double) · 60,603 · 80,804 · 101,005 · 121,206 · 141,407 · 161,608 · 181,809 · 202,010

Sums & aliquot sequence

As a sum of two squares: 100² + 101²
As consecutive integers: 10,100 + 10,101

Representations

In words
twenty thousand two hundred one
Ordinal
20201st
Binary
100111011101001
Octal
47351
Hexadecimal
0x4EE9
Base64
Tuk=
One's complement
45,334 (16-bit)
In other bases
ternary (3) 1000201012
quaternary (4) 10323221
quinary (5) 1121301
senary (6) 233305
septenary (7) 112616
nonary (9) 30635
undecimal (11) 141a5
duodecimal (12) b835
tridecimal (13) 926c
tetradecimal (14) 750d
pentadecimal (15) 5ebb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓏺
Greek (Milesian)
͵κσαʹ
Mayan (base 20)
𝋢·𝋪·𝋪·𝋡
Chinese
二萬零二百零一
Chinese (financial)
貳萬零貳佰零壹
In other modern scripts
Eastern Arabic ٢٠٢٠١ Devanagari २०२०१ Bengali ২০২০১ Tamil ௨௦௨௦௧ Thai ๒๐๒๐๑ Tibetan ༢༠༢༠༡ Khmer ២០២០១ Lao ໒໐໒໐໑ Burmese ၂၀၂၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 20,201 = 7
e — Euler's number (e)
Digit 20,201 = 8
φ — Golden ratio (φ)
Digit 20,201 = 1
√2 — Pythagoras's (√2)
Digit 20,201 = 2
ln 2 — Natural log of 2
Digit 20,201 = 3
γ — Euler-Mascheroni (γ)
Digit 20,201 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,183 (gap of 18)
  • Next prime: 20,219 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-4Ee9
U+4EE9
Other letter (Lo)

UTF-8 encoding: E4 BB A9 (3 bytes).

Hex color
#004EE9
RGB(0, 78, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.233.

Address
0.0.78.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.233

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 20201 first appears in π at position 32,352 of the decimal expansion (the 32,352ordinal-suffix:nd 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.