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121,021

121,021 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

121,021 (one hundred twenty-one thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D8BD.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
120,121
Square (n²)
14,646,082,441
Cube (n³)
1,772,483,543,092,261
Divisor count
2
σ(n) — sum of divisors
121,022
φ(n) — Euler's totient
121,020

Primality

121,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,021)
1 × 121021
First multiples
121,021 · 242,042 (double) · 363,063 · 484,084 · 605,105 · 726,126 · 847,147 · 968,168 · 1,089,189 · 1,210,210

Sums & aliquot sequence

As a sum of two squares: 230² + 261²
As consecutive integers: 60,510 + 60,511

Continued fraction of √n

√121,021 = [347; (1, 7, 2, 1, 1, 1, 1, 10, 1, 52, 1, 1, 1, 1, 5, 1, 5, 3, 4, 5, 1, 3, 3, 1, …)]

Representations

In words
one hundred twenty-one thousand twenty-one
Ordinal
121021st
Binary
11101100010111101
Octal
354275
Hexadecimal
0x1D8BD
Base64
Adi9
One's complement
4,294,846,274 (32-bit)
Scientific notation
1.21021 × 10⁵
As a duration
121,021 s = 1 day, 9 hours, 37 minutes, 1 second
In other bases
ternary (3) 20011000021
quaternary (4) 131202331
quinary (5) 12333041
senary (6) 2332141
septenary (7) 1012555
nonary (9) 204007
undecimal (11) 82a1a
duodecimal (12) 5a051
tridecimal (13) 43114
tetradecimal (14) 32165
pentadecimal (15) 25cd1

As an angle

121,021° = 336 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρκακαʹ
Mayan (base 20)
𝋯·𝋢·𝋫·𝋡
Chinese
一十二萬一千零二十一
Chinese (financial)
壹拾貳萬壹仟零貳拾壹
In other modern scripts
Eastern Arabic ١٢١٠٢١ Devanagari १२१०२१ Bengali ১২১০২১ Tamil ௧௨௧௦௨௧ Thai ๑๒๑๐๒๑ Tibetan ༡༢༡༠༢༡ Khmer ១២១០២១ Lao ໑໒໑໐໒໑ Burmese ၁၂၁၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 121019.

Unicode codepoint
𝢽
Signwriting Hand-Hook Index Ring Little Out
U+1D8BD
Other symbol (So)

UTF-8 encoding: F0 9D A2 BD (4 bytes).

Hex color
#01D8BD
RGB(1, 216, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.189.

Address
0.1.216.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.189

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 121,021 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 121021 first appears in π at position 30,375 of the decimal expansion (the 30,375ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.