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Number

20,021

20,021 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
12,002
Square (n²)
400,840,441
Cube (n³)
8,025,226,469,261
Divisor count
2
σ(n) — sum of divisors
20,022
φ(n) — Euler's totient
20,020

Primality

20,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,021)
1 × 20021
First multiples
20,021 · 40,042 (double) · 60,063 · 80,084 · 100,105 · 120,126 · 140,147 · 160,168 · 180,189 · 200,210

Sums & aliquot sequence

As a sum of two squares: 89² + 110²
As consecutive integers: 10,010 + 10,011

Representations

In words
twenty thousand twenty-one
Ordinal
20021st
Binary
100111000110101
Octal
47065
Hexadecimal
0x4E35
Base64
TjU=
One's complement
45,514 (16-bit)
In other bases
ternary (3) 1000110112
quaternary (4) 10320311
quinary (5) 1120041
senary (6) 232405
septenary (7) 112241
nonary (9) 30415
undecimal (11) 14051
duodecimal (12) b705
tridecimal (13) 9161
tetradecimal (14) 7421
pentadecimal (15) 5deb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓏺
Greek (Milesian)
͵κκαʹ
Mayan (base 20)
𝋢·𝋪·𝋡·𝋡
Chinese
二萬零二十一
Chinese (financial)
貳萬零貳拾壹
In other modern scripts
Eastern Arabic ٢٠٠٢١ Devanagari २००२१ Bengali ২০০২১ Tamil ௨௦௦௨௧ Thai ๒๐๐๒๑ Tibetan ༢༠༠༢༡ Khmer ២០០២១ Lao ໒໐໐໒໑ Burmese ၂၀၀၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 20,021 = 4
e — Euler's number (e)
Digit 20,021 = 8
φ — Golden ratio (φ)
Digit 20,021 = 2
√2 — Pythagoras's (√2)
Digit 20,021 = 8
ln 2 — Natural log of 2
Digit 20,021 = 9
γ — Euler-Mascheroni (γ)
Digit 20,021 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,011 (gap of 10)
  • Next prime: 20,023 (gap of 2)

Pair status: twin with 20023.

Unicode codepoint
CJK Unified Ideograph-4E35
U+4E35
Other letter (Lo)

UTF-8 encoding: E4 B8 B5 (3 bytes).

Hex color
#004E35
RGB(0, 78, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.53.

Address
0.0.78.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.53

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

Position in π

The digit sequence 20021 first appears in π at position 296,470 of the decimal expansion (the 296,470ordinal-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.