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122,081

122,081 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.).

122,081 (one hundred twenty-two thousand eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DCE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
180,221
Square (n²)
14,903,770,561
Cube (n³)
1,819,467,213,857,441
Divisor count
2
σ(n) — sum of divisors
122,082
φ(n) — Euler's totient
122,080

Primality

122,081 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122081
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,081)
1 × 122081
First multiples
122,081 · 244,162 (double) · 366,243 · 488,324 · 610,405 · 732,486 · 854,567 · 976,648 · 1,098,729 · 1,220,810

Sums & aliquot sequence

As a sum of two squares: 209² + 280²
As consecutive integers: 61,040 + 61,041

Continued fraction of √n

√122,081 = [349; (2, 2, 43, 3, 1, 1, 1, 2, 1, 10, 5, 6, 4, 1, 1, 1, 12, 16, 5, 1, 4, 3, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand eighty-one
Ordinal
122081st
Binary
11101110011100001
Octal
356341
Hexadecimal
0x1DCE1
Base64
Adzh
One's complement
4,294,845,214 (32-bit)
Scientific notation
1.22081 × 10⁵
As a duration
122,081 s = 1 day, 9 hours, 54 minutes, 41 seconds
In other bases
ternary (3) 20012110112
quaternary (4) 131303201
quinary (5) 12401311
senary (6) 2341105
septenary (7) 1015631
nonary (9) 205415
undecimal (11) 837a3
duodecimal (12) 5a795
tridecimal (13) 4374b
tetradecimal (14) 326c1
pentadecimal (15) 2628b

As an angle

122,081° = 339 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβπαʹ
Mayan (base 20)
𝋯·𝋥·𝋤·𝋡
Chinese
一十二萬二千零八十一
Chinese (financial)
壹拾貳萬貳仟零捌拾壹
In other modern scripts
Eastern Arabic ١٢٢٠٨١ Devanagari १२२०८१ Bengali ১২২০৮১ Tamil ௧௨௨௦௮௧ Thai ๑๒๒๐๘๑ Tibetan ༡༢༢༠༨༡ Khmer ១២២០៨១ Lao ໑໒໒໐໘໑ Burmese ၁၂၂၀၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DCE1
RGB(1, 220, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.225.

Address
0.1.220.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.225

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 122,081 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 122081 first appears in π at position 153,875 of the decimal expansion (the 153,875ordinal-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.