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122,891

122,891 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.).

122,891 (one hundred twenty-two thousand eight hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E00B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
288
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
198,221
Square (n²)
15,102,197,881
Cube (n³)
1,855,924,199,793,971
Divisor count
2
σ(n) — sum of divisors
122,892
φ(n) — Euler's totient
122,890

Primality

122,891 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122891
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,891)
1 × 122891
First multiples
122,891 · 245,782 (double) · 368,673 · 491,564 · 614,455 · 737,346 · 860,237 · 983,128 · 1,106,019 · 1,228,910

Sums & aliquot sequence

As consecutive integers: 61,445 + 61,446

Continued fraction of √n

√122,891 = [350; (1, 1, 3, 1, 4, 41, 30, 2, 5, 1, 1, 1, 1, 7, 1, 1, 1, 3, 1, 4, 3, 139, 1, 10, …)]

Representations

In words
one hundred twenty-two thousand eight hundred ninety-one
Ordinal
122891st
Binary
11110000000001011
Octal
360013
Hexadecimal
0x1E00B
Base64
AeAL
One's complement
4,294,844,404 (32-bit)
Scientific notation
1.22891 × 10⁵
As a duration
122,891 s = 1 day, 10 hours, 8 minutes, 11 seconds
In other bases
ternary (3) 20020120112
quaternary (4) 132000023
quinary (5) 12413031
senary (6) 2344535
septenary (7) 1021166
nonary (9) 206515
undecimal (11) 8436a
duodecimal (12) 5b14b
tridecimal (13) 43c22
tetradecimal (14) 32add
pentadecimal (15) 2662b

As an angle

122,891° = 341 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβωϟαʹ
Mayan (base 20)
𝋯·𝋧·𝋤·𝋫
Chinese
一十二萬二千八百九十一
Chinese (financial)
壹拾貳萬貳仟捌佰玖拾壹
In other modern scripts
Eastern Arabic ١٢٢٨٩١ Devanagari १२२८९१ Bengali ১২২৮৯১ Tamil ௧௨௨௮௯௧ Thai ๑๒๒๘๙๑ Tibetan ༡༢༢༨༩༡ Khmer ១២២៨៩១ Lao ໑໒໒໘໙໑ Burmese ၁၂၂၈၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 122887.

Unicode codepoint
𞀋
Combining Glagolitic Letter I
U+1E00B
Non-spacing mark (Mn)

UTF-8 encoding: F0 9E 80 8B (4 bytes).

Hex color
#01E00B
RGB(1, 224, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.11.

Address
0.1.224.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.11

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 122,891 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.