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122,231

122,231 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.).

122,231 (one hundred twenty-two thousand two hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD77.

Arithmetic Number Binary Palindrome Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
132,221
Square (n²)
14,940,417,361
Cube (n³)
1,826,182,154,452,391
Divisor count
2
σ(n) — sum of divisors
122,232
φ(n) — Euler's totient
122,230

Primality

122,231 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122231
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,231)
1 × 122231
First multiples
122,231 · 244,462 (double) · 366,693 · 488,924 · 611,155 · 733,386 · 855,617 · 977,848 · 1,100,079 · 1,222,310

Sums & aliquot sequence

As consecutive integers: 61,115 + 61,116

Continued fraction of √n

√122,231 = [349; (1, 1, 1, 1, 1, 1, 49, 3, 30, 14, 4, 4, 1, 1, 2, 1, 3, 5, 3, 12, 1, 7, 3, 3, …)]

Representations

In words
one hundred twenty-two thousand two hundred thirty-one
Ordinal
122231st
Binary
11101110101110111
Octal
356567
Hexadecimal
0x1DD77
Base64
Ad13
One's complement
4,294,845,064 (32-bit)
Scientific notation
1.22231 × 10⁵
As a duration
122,231 s = 1 day, 9 hours, 57 minutes, 11 seconds
In other bases
ternary (3) 20012200002
quaternary (4) 131311313
quinary (5) 12402411
senary (6) 2341515
septenary (7) 1016234
nonary (9) 205602
undecimal (11) 8391a
duodecimal (12) 5a89b
tridecimal (13) 43835
tetradecimal (14) 3278b
pentadecimal (15) 2633b
Palindromic in base 2

As an angle

122,231° = 339 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβσλαʹ
Mayan (base 20)
𝋯·𝋥·𝋫·𝋫
Chinese
一十二萬二千二百三十一
Chinese (financial)
壹拾貳萬貳仟貳佰參拾壹
In other modern scripts
Eastern Arabic ١٢٢٢٣١ Devanagari १२२२३१ Bengali ১২২২৩১ Tamil ௧௨௨௨௩௧ Thai ๑๒๒๒๓๑ Tibetan ༡༢༢༢༣༡ Khmer ១២២២៣១ Lao ໑໒໒໒໓໑ Burmese ၁၂၂၂၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DD77
RGB(1, 221, 119)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.119.

Address
0.1.221.119
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.119

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 122,231 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 122231 first appears in π at position 140,470 of the decimal expansion (the 140,470ordinal-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.