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122,131

122,131 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.).

122,131 (one hundred twenty-two thousand one 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, 0x1DD13.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
131,221
Square (n²)
14,915,981,161
Cube (n³)
1,821,703,695,174,091
Divisor count
2
σ(n) — sum of divisors
122,132
φ(n) — Euler's totient
122,130

Primality

122,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,131)
1 × 122131
First multiples
122,131 · 244,262 (double) · 366,393 · 488,524 · 610,655 · 732,786 · 854,917 · 977,048 · 1,099,179 · 1,221,310

Sums & aliquot sequence

As consecutive integers: 61,065 + 61,066

Continued fraction of √n

√122,131 = [349; (2, 8, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 3, 1, 14, 1, 2, 1, 9, 2, 1, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred thirty-one
Ordinal
122131st
Binary
11101110100010011
Octal
356423
Hexadecimal
0x1DD13
Base64
Ad0T
One's complement
4,294,845,164 (32-bit)
Scientific notation
1.22131 × 10⁵
As a duration
122,131 s = 1 day, 9 hours, 55 minutes, 31 seconds
In other bases
ternary (3) 20012112101
quaternary (4) 131310103
quinary (5) 12402011
senary (6) 2341231
septenary (7) 1016032
nonary (9) 205471
undecimal (11) 83839
duodecimal (12) 5a817
tridecimal (13) 43789
tetradecimal (14) 32719
pentadecimal (15) 262c1

As an angle

122,131° = 339 × 360° + 91°
91° ≈ 1.588 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβρλαʹ
Mayan (base 20)
𝋯·𝋥·𝋦·𝋫
Chinese
一十二萬二千一百三十一
Chinese (financial)
壹拾貳萬貳仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١٢٢١٣١ Devanagari १२२१३१ Bengali ১২২১৩১ Tamil ௧௨௨௧௩௧ Thai ๑๒๒๑๓๑ Tibetan ༡༢༢༡༣༡ Khmer ១២២១៣១ Lao ໑໒໒໑໓໑ Burmese ၁၂၂၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DD13
RGB(1, 221, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.19.

Address
0.1.221.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.19

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 122,131 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.