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122,117

122,117 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.).

122,117 (one hundred twenty-two thousand one hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD05.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
28
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
711,221
Square (n²)
14,912,561,689
Cube (n³)
1,821,077,295,775,613
Divisor count
2
σ(n) — sum of divisors
122,118
φ(n) — Euler's totient
122,116

Primality

122,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,117)
1 × 122117
First multiples
122,117 · 244,234 (double) · 366,351 · 488,468 · 610,585 · 732,702 · 854,819 · 976,936 · 1,099,053 · 1,221,170

Sums & aliquot sequence

As a sum of two squares: 49² + 346²
As consecutive integers: 61,058 + 61,059

Continued fraction of √n

√122,117 = [349; (2, 4, 1, 3, 11, 1, 1, 2, 2, 11, 24, 1, 6, 1, 8, 3, 9, 3, 1, 21, 1, 3, 1, 2, …)]

Representations

In words
one hundred twenty-two thousand one hundred seventeen
Ordinal
122117th
Binary
11101110100000101
Octal
356405
Hexadecimal
0x1DD05
Base64
Ad0F
One's complement
4,294,845,178 (32-bit)
Scientific notation
1.22117 × 10⁵
As a duration
122,117 s = 1 day, 9 hours, 55 minutes, 17 seconds
In other bases
ternary (3) 20012111212
quaternary (4) 131310011
quinary (5) 12401432
senary (6) 2341205
septenary (7) 1016012
nonary (9) 205455
undecimal (11) 83826
duodecimal (12) 5a805
tridecimal (13) 43778
tetradecimal (14) 32709
pentadecimal (15) 262b2

As an angle

122,117° = 339 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβριζʹ
Mayan (base 20)
𝋯·𝋥·𝋥·𝋱
Chinese
一十二萬二千一百一十七
Chinese (financial)
壹拾貳萬貳仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١٢٢١١٧ Devanagari १२२११७ Bengali ১২২১১৭ Tamil ௧௨௨௧௧௭ Thai ๑๒๒๑๑๗ Tibetan ༡༢༢༡༡༧ Khmer ១២២១១៧ Lao ໑໒໒໑໑໗ Burmese ၁၂၂၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DD05
RGB(1, 221, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.5.

Address
0.1.221.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.5

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 122,117 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.