number.wiki
Number

20,101

20,101 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
10,102
Square (n²)
404,050,201
Cube (n³)
8,121,813,090,301
Divisor count
2
σ(n) — sum of divisors
20,102
φ(n) — Euler's totient
20,100

Primality

20,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,101)
1 × 20101
First multiples
20,101 · 40,202 (double) · 60,303 · 80,404 · 100,505 · 120,606 · 140,707 · 160,808 · 180,909 · 201,010

Sums & aliquot sequence

As a sum of two squares: 65² + 126²
As consecutive integers: 10,050 + 10,051

Representations

In words
twenty thousand one hundred one
Ordinal
20101st
Binary
100111010000101
Octal
47205
Hexadecimal
0x4E85
Base64
ToU=
One's complement
45,434 (16-bit)
In other bases
ternary (3) 1000120111
quaternary (4) 10322011
quinary (5) 1120401
senary (6) 233021
septenary (7) 112414
nonary (9) 30514
undecimal (11) 14114
duodecimal (12) b771
tridecimal (13) 91c3
tetradecimal (14) 747b
pentadecimal (15) 5e51

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓏺
Greek (Milesian)
͵κραʹ
Mayan (base 20)
𝋢·𝋪·𝋥·𝋡
Chinese
二萬零一百零一
Chinese (financial)
貳萬零壹佰零壹
In other modern scripts
Eastern Arabic ٢٠١٠١ Devanagari २०१०१ Bengali ২০১০১ Tamil ௨௦௧௦௧ Thai ๒๐๑๐๑ Tibetan ༢༠༡༠༡ Khmer ២០១០១ Lao ໒໐໑໐໑ Burmese ၂၀၁၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 20,101 = 0
e — Euler's number (e)
Digit 20,101 = 9
φ — Golden ratio (φ)
Digit 20,101 = 7
√2 — Pythagoras's (√2)
Digit 20,101 = 2
ln 2 — Natural log of 2
Digit 20,101 = 2
γ — Euler-Mascheroni (γ)
Digit 20,101 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,089 (gap of 12)
  • Next prime: 20,107 (gap of 6)

Pair status: sexy with 20107.

Unicode codepoint
CJK Unified Ideograph-4E85
U+4E85
Other letter (Lo)

UTF-8 encoding: E4 BA 85 (3 bytes).

Hex color
#004E85
RGB(0, 78, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.133.

Address
0.0.78.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.133

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

Position in π

The digit sequence 20101 first appears in π at position 135,022 of the decimal expansion (the 135,022ordinal-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.