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121,633

121,633 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.).

121,633 (one hundred twenty-one thousand six hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DB21.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
336,121
Square (n²)
14,794,586,689
Cube (n³)
1,799,509,962,743,137
Divisor count
2
σ(n) — sum of divisors
121,634
φ(n) — Euler's totient
121,632

Primality

121,633 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121633
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,633)
1 × 121633
First multiples
121,633 · 243,266 (double) · 364,899 · 486,532 · 608,165 · 729,798 · 851,431 · 973,064 · 1,094,697 · 1,216,330

Sums & aliquot sequence

As a sum of two squares: 23² + 348²
As consecutive integers: 60,816 + 60,817

Continued fraction of √n

√121,633 = [348; (1, 3, 6, 1, 1, 10, 1, 8, 1, 3, 2, 3, 4, 23, 1, 4, 1, 1, 6, 1, 20, 1, 13, 3, …)]

Representations

In words
one hundred twenty-one thousand six hundred thirty-three
Ordinal
121633rd
Binary
11101101100100001
Octal
355441
Hexadecimal
0x1DB21
Base64
Adsh
One's complement
4,294,845,662 (32-bit)
Scientific notation
1.21633 × 10⁵
As a duration
121,633 s = 1 day, 9 hours, 47 minutes, 13 seconds
In other bases
ternary (3) 20011211221
quaternary (4) 131230201
quinary (5) 12343013
senary (6) 2335041
septenary (7) 1014421
nonary (9) 204757
undecimal (11) 83426
duodecimal (12) 5a481
tridecimal (13) 43495
tetradecimal (14) 32481
pentadecimal (15) 2608d

As an angle

121,633° = 337 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχλγʹ
Mayan (base 20)
𝋯·𝋤·𝋡·𝋭
Chinese
一十二萬一千六百三十三
Chinese (financial)
壹拾貳萬壹仟陸佰參拾參
In other modern scripts
Eastern Arabic ١٢١٦٣٣ Devanagari १२१६३३ Bengali ১২১৬৩৩ Tamil ௧௨௧௬௩௩ Thai ๑๒๑๖๓๓ Tibetan ༡༢༡༦༣༣ Khmer ១២១៦៣៣ Lao ໑໒໑໖໓໓ Burmese ၁၂၁၆၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 121631, cousin with 121637.

Hex color
#01DB21
RGB(1, 219, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.33.

Address
0.1.219.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.33

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 121,633 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.