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Number

21,121

21,121 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
4
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
12,112
Recamán's sequence
a(41,597) = 21,121
Square (n²)
446,096,641
Cube (n³)
9,422,007,154,561
Divisor count
2
σ(n) — sum of divisors
21,122
φ(n) — Euler's totient
21,120

Primality

21,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,121)
1 × 21121
First multiples
21,121 · 42,242 (double) · 63,363 · 84,484 · 105,605 · 126,726 · 147,847 · 168,968 · 190,089 · 211,210

Sums & aliquot sequence

As a sum of two squares: 39² + 140²
As consecutive integers: 10,560 + 10,561

Representations

In words
twenty-one thousand one hundred twenty-one
Ordinal
21121st
Binary
101001010000001
Octal
51201
Hexadecimal
0x5281
Base64
UoE=
One's complement
44,414 (16-bit)
In other bases
ternary (3) 1001222021
quaternary (4) 11022001
quinary (5) 1133441
senary (6) 241441
septenary (7) 115402
nonary (9) 31867
undecimal (11) 14961
duodecimal (12) 10281
tridecimal (13) 97c9
tetradecimal (14) 79a9
pentadecimal (15) 63d1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵καρκαʹ
Mayan (base 20)
𝋢·𝋬·𝋰·𝋡
Chinese
二萬一千一百二十一
Chinese (financial)
貳萬壹仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٢١١٢١ Devanagari २११२१ Bengali ২১১২১ Tamil ௨௧௧௨௧ Thai ๒๑๑๒๑ Tibetan ༢༡༡༢༡ Khmer ២១១២១ Lao ໒໑໑໒໑ Burmese ၂၁၁၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,121 = 7
e — Euler's number (e)
Digit 21,121 = 4
φ — Golden ratio (φ)
Digit 21,121 = 9
√2 — Pythagoras's (√2)
Digit 21,121 = 8
ln 2 — Natural log of 2
Digit 21,121 = 5
γ — Euler-Mascheroni (γ)
Digit 21,121 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,107 (gap of 14)
  • Next prime: 21,139 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-5281
U+5281
Other letter (Lo)

UTF-8 encoding: E5 8A 81 (3 bytes).

Hex color
#005281
RGB(0, 82, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.129.

Address
0.0.82.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.129

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

Position in π

The digit sequence 21121 first appears in π at position 68,809 of the decimal expansion (the 68,809ordinal-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.