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122,209

122,209 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.).

122,209 (one hundred twenty-two thousand two hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD61.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
902,221
Square (n²)
14,935,039,681
Cube (n³)
1,825,196,264,375,329
Divisor count
2
σ(n) — sum of divisors
122,210
φ(n) — Euler's totient
122,208

Primality

122,209 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122209
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,209)
1 × 122209
First multiples
122,209 · 244,418 (double) · 366,627 · 488,836 · 611,045 · 733,254 · 855,463 · 977,672 · 1,099,881 · 1,222,090

Sums & aliquot sequence

As a sum of two squares: 228² + 265²
As consecutive integers: 61,104 + 61,105

Continued fraction of √n

√122,209 = [349; (1, 1, 2, 2, 9, 2, 3, 9, 29, 41, 10, 1, 2, 1, 2, 1, 2, 1, 3, 4, 1, 1, 2, 2, …)]

Representations

In words
one hundred twenty-two thousand two hundred nine
Ordinal
122209th
Binary
11101110101100001
Octal
356541
Hexadecimal
0x1DD61
Base64
Ad1h
One's complement
4,294,845,086 (32-bit)
Scientific notation
1.22209 × 10⁵
As a duration
122,209 s = 1 day, 9 hours, 56 minutes, 49 seconds
In other bases
ternary (3) 20012122021
quaternary (4) 131311201
quinary (5) 12402314
senary (6) 2341441
septenary (7) 1016203
nonary (9) 205567
undecimal (11) 838aa
duodecimal (12) 5a881
tridecimal (13) 43819
tetradecimal (14) 32773
pentadecimal (15) 26324

As an angle

122,209° = 339 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσθʹ
Mayan (base 20)
𝋯·𝋥·𝋪·𝋩
Chinese
一十二萬二千二百零九
Chinese (financial)
壹拾貳萬貳仟貳佰零玖
In other modern scripts
Eastern Arabic ١٢٢٢٠٩ Devanagari १२२२०९ Bengali ১২২২০৯ Tamil ௧௨௨௨௦௯ Thai ๑๒๒๒๐๙ Tibetan ༡༢༢༢༠༩ Khmer ១២២២០៩ Lao ໑໒໒໒໐໙ Burmese ၁၂၂၂၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122207.

Hex color
#01DD61
RGB(1, 221, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.97.

Address
0.1.221.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.97

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 122,209 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 122209 first appears in π at position 242,984 of the decimal expansion (the 242,984ordinal-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.