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121,993

121,993 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.).

121,993 (one hundred twenty-one thousand nine hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DC89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
486
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
399,121
Square (n²)
14,882,292,049
Cube (n³)
1,815,535,453,933,657
Divisor count
2
σ(n) — sum of divisors
121,994
φ(n) — Euler's totient
121,992

Primality

121,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,993)
1 × 121993
First multiples
121,993 · 243,986 (double) · 365,979 · 487,972 · 609,965 · 731,958 · 853,951 · 975,944 · 1,097,937 · 1,219,930

Sums & aliquot sequence

As a sum of two squares: 157² + 312²
As consecutive integers: 60,996 + 60,997

Continued fraction of √n

√121,993 = [349; (3, 1, 1, 1, 3, 16, 1, 3, 4, 1, 1, 1, 2, 2, 9, 3, 1, 1, 4, 2, 1, 1, 2, 18, …)]

Representations

In words
one hundred twenty-one thousand nine hundred ninety-three
Ordinal
121993rd
Binary
11101110010001001
Octal
356211
Hexadecimal
0x1DC89
Base64
AdyJ
One's complement
4,294,845,302 (32-bit)
Scientific notation
1.21993 × 10⁵
As a duration
121,993 s = 1 day, 9 hours, 53 minutes, 13 seconds
In other bases
ternary (3) 20012100021
quaternary (4) 131302021
quinary (5) 12400433
senary (6) 2340441
septenary (7) 1015444
nonary (9) 205307
undecimal (11) 83723
duodecimal (12) 5a721
tridecimal (13) 436b1
tetradecimal (14) 3265b
pentadecimal (15) 2622d

As an angle

121,993° = 338 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκαϡϟγʹ
Mayan (base 20)
𝋯·𝋤·𝋳·𝋭
Chinese
一十二萬一千九百九十三
Chinese (financial)
壹拾貳萬壹仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٢١٩٩٣ Devanagari १२१९९३ Bengali ১২১৯৯৩ Tamil ௧௨௧௯௯௩ Thai ๑๒๑๙๙๓ Tibetan ༡༢༡༩༩༣ Khmer ១២១៩៩៣ Lao ໑໒໑໙໙໓ Burmese ၁၂၁၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121997.

Hex color
#01DC89
RGB(1, 220, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.137.

Address
0.1.220.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.137

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 121,993 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 121993 first appears in π at position 742,354 of the decimal expansion (the 742,354ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.