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122,201

122,201 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.).

122,201 (one hundred twenty-two thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD59.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
102,221
Square (n²)
14,933,084,401
Cube (n³)
1,824,837,846,886,601
Divisor count
2
σ(n) — sum of divisors
122,202
φ(n) — Euler's totient
122,200

Primality

122,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,201)
1 × 122201
First multiples
122,201 · 244,402 (double) · 366,603 · 488,804 · 611,005 · 733,206 · 855,407 · 977,608 · 1,099,809 · 1,222,010

Sums & aliquot sequence

As a sum of two squares: 20² + 349²
As consecutive integers: 61,100 + 61,101

Continued fraction of √n

√122,201 = [349; (1, 1, 2, 1, 16, 1, 3, 4, 8, 1, 1, 1, 1, 2, 10, 1, 1, 5, 1, 2, 1, 1, 3, 2, …)]

Representations

In words
one hundred twenty-two thousand two hundred one
Ordinal
122201st
Binary
11101110101011001
Octal
356531
Hexadecimal
0x1DD59
Base64
Ad1Z
One's complement
4,294,845,094 (32-bit)
Scientific notation
1.22201 × 10⁵
As a duration
122,201 s = 1 day, 9 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 20012121222
quaternary (4) 131311121
quinary (5) 12402301
senary (6) 2341425
septenary (7) 1016162
nonary (9) 205558
undecimal (11) 838a2
duodecimal (12) 5a875
tridecimal (13) 43811
tetradecimal (14) 32769
pentadecimal (15) 2631b

As an angle

122,201° = 339 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρκβσαʹ
Mayan (base 20)
𝋯·𝋥·𝋪·𝋡
Chinese
一十二萬二千二百零一
Chinese (financial)
壹拾貳萬貳仟貳佰零壹
In other modern scripts
Eastern Arabic ١٢٢٢٠١ Devanagari १२२२०१ Bengali ১২২২০১ Tamil ௧௨௨௨௦௧ Thai ๑๒๒๒๐๑ Tibetan ༡༢༢༢༠༡ Khmer ១២២២០១ Lao ໑໒໒໒໐໑ Burmese ၁၂၂၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122203.

Hex color
#01DD59
RGB(1, 221, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.89.

Address
0.1.221.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.89

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 122,201 and was likely granted around 1871.

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

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.