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Number

20,113

20,113 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
31,102
Square (n²)
404,532,769
Cube (n³)
8,136,367,582,897
Divisor count
2
σ(n) — sum of divisors
20,114
φ(n) — Euler's totient
20,112

Primality

20,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,113)
1 × 20113
First multiples
20,113 · 40,226 (double) · 60,339 · 80,452 · 100,565 · 120,678 · 140,791 · 160,904 · 181,017 · 201,130

Sums & aliquot sequence

As a sum of two squares: 87² + 112²
As consecutive integers: 10,056 + 10,057

Representations

In words
twenty thousand one hundred thirteen
Ordinal
20113th
Binary
100111010010001
Octal
47221
Hexadecimal
0x4E91
Base64
TpE=
One's complement
45,422 (16-bit)
In other bases
ternary (3) 1000120221
quaternary (4) 10322101
quinary (5) 1120423
senary (6) 233041
septenary (7) 112432
nonary (9) 30527
undecimal (11) 14125
duodecimal (12) b781
tridecimal (13) 9202
tetradecimal (14) 7489
pentadecimal (15) 5e5d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κριγʹ
Mayan (base 20)
𝋢·𝋪·𝋥·𝋭
Chinese
二萬零一百一十三
Chinese (financial)
貳萬零壹佰壹拾參
In other modern scripts
Eastern Arabic ٢٠١١٣ Devanagari २०११३ Bengali ২০১১৩ Tamil ௨௦௧௧௩ Thai ๒๐๑๑๓ Tibetan ༢༠༡༡༣ Khmer ២០១១៣ Lao ໒໐໑໑໓ Burmese ၂၀၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 20,113 = 2
e — Euler's number (e)
Digit 20,113 = 5
φ — Golden ratio (φ)
Digit 20,113 = 7
√2 — Pythagoras's (√2)
Digit 20,113 = 0
ln 2 — Natural log of 2
Digit 20,113 = 9
γ — Euler-Mascheroni (γ)
Digit 20,113 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,107 (gap of 6)
  • Next prime: 20,117 (gap of 4)

Pair status: cousin with 20117, sexy with 20107.

Unicode codepoint
CJK Unified Ideograph-4E91
U+4E91
Other letter (Lo)

UTF-8 encoding: E4 BA 91 (3 bytes).

Hex color
#004E91
RGB(0, 78, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.145.

Address
0.0.78.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.145

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

Position in π

The digit sequence 20113 first appears in π at position 21,798 of the decimal expansion (the 21,798ordinal-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.