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122,021

122,021 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.).

122,021 (one hundred twenty-two 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, 0x1DCA5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
120,221
Square (n²)
14,889,124,441
Cube (n³)
1,816,785,853,415,261
Divisor count
2
σ(n) — sum of divisors
122,022
φ(n) — Euler's totient
122,020

Primality

122,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,021)
1 × 122021
First multiples
122,021 · 244,042 (double) · 366,063 · 488,084 · 610,105 · 732,126 · 854,147 · 976,168 · 1,098,189 · 1,220,210

Sums & aliquot sequence

As a sum of two squares: 161² + 310²
As consecutive integers: 61,010 + 61,011

Continued fraction of √n

√122,021 = [349; (3, 5, 1, 2, 1, 6, 1, 15, 139, 1, 1, 1, 29, 1, 2, 2, 3, 1, 2, 2, 2, 27, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand twenty-one
Ordinal
122021st
Binary
11101110010100101
Octal
356245
Hexadecimal
0x1DCA5
Base64
Adyl
One's complement
4,294,845,274 (32-bit)
Scientific notation
1.22021 × 10⁵
As a duration
122,021 s = 1 day, 9 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 20012101022
quaternary (4) 131302211
quinary (5) 12401041
senary (6) 2340525
septenary (7) 1015514
nonary (9) 205338
undecimal (11) 83749
duodecimal (12) 5a745
tridecimal (13) 43703
tetradecimal (14) 3267b
pentadecimal (15) 2624b

As an angle

122,021° = 338 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρκβκαʹ
Mayan (base 20)
𝋯·𝋥·𝋡·𝋡
Chinese
一十二萬二千零二十一
Chinese (financial)
壹拾貳萬貳仟零貳拾壹
In other modern scripts
Eastern Arabic ١٢٢٠٢١ Devanagari १२२०२१ Bengali ১২২০২১ Tamil ௧௨௨௦௨௧ Thai ๑๒๒๐๒๑ Tibetan ༡༢༢༠༢༡ Khmer ១២២០២១ Lao ໑໒໒໐໒໑ Burmese ၁၂၂၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122027.

Hex color
#01DCA5
RGB(1, 220, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.165.

Address
0.1.220.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.165

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 122,021 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 122021 first appears in π at position 535,795 of the decimal expansion (the 535,795ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.