Live analysis

121,104

121,104 is a composite number, even.

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.).

121,104 (one hundred twenty-one thousand one hundred four) is an even 6-digit number. It is a composite number with 45 divisors, and factors as 2⁴ × 3² × 29². Its proper divisors sum to 229,909, more than the number itself, making it an abundant number. It is a perfect square (348²). Written other ways, in hexadecimal, 0x1D910.

Abundant Number Happy Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

121,092 121,093 121,094 121,095 121,096 121,097 121,098 121,099 121,100 121,101 121,102 121,103 121,104 121,105 121,106 121,107 121,108 121,109 121,110 121,111 121,112 121,113 121,114 121,115 121,116

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 401,121
Square (n²): 14,666,178,816
Cube (n³): 1,776,132,919,332,864
Square root (√n): 348
Divisor count: 45
σ(n) — sum of divisors: 351,013
φ(n) — Euler's totient: 38,976
Sum of prime factors: 72

Primality

Prime factorization: 2 ⁴ × 3 ² × 29 ²

Nearest primes: 121,081 (−23) · 121,123 (+19)

Divisors & multiples

All divisors (45)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 29 · 36 · 48 · 58 · 72 · 87 · 116 · 144 · 174 · 232 · 261 · 348 · 464 · 522 · 696 · 841 · 1044 · 1392 · 1682 · 2088 · 2523 · 3364 · 4176 · 5046 · 6728 · 7569 · 10092 · 13456 · 15138 · 20184 · 30276 · 40368 · 60552 (half) · 121104

Aliquot sum (sum of proper divisors): 229,909

Factor pairs (a × b = 121,104)

1 × 121104

2 × 60552

3 × 40368

4 × 30276

6 × 20184

8 × 15138

9 × 13456

12 × 10092

16 × 7569

18 × 6728

24 × 5046

29 × 4176

36 × 3364

48 × 2523

58 × 2088

72 × 1682

87 × 1392

116 × 1044

144 × 841

174 × 696

232 × 522

261 × 464

348 × 348

First multiples

121,104 · 242,208 (double) · 363,312 · 484,416 · 605,520 · 726,624 · 847,728 · 968,832 · 1,089,936 · 1,211,040

Sums & aliquot sequence

As a sum of two squares: 0² + 348² = 240² + 252²

As consecutive integers: 40,367 + 40,368 + 40,369 13,452 + 13,453 + … + 13,460 4,162 + 4,163 + … + 4,190 3,769 + 3,770 + … + 3,800

Aliquot sequence: 121,104 → 229,909 → 3,831 → 1,281 → 703 → 57 → 23 → 1 → 0 — terminates at zero

Representations

In words: one hundred twenty-one thousand one hundred four
Ordinal: 121104th
Binary: 11101100100010000
Octal: 354420
Hexadecimal: 0x1D910
Base64: AdkQ
One's complement: 4,294,846,191 (32-bit)
Scientific notation: 1.21104 × 10⁵
As a duration: 121,104 s = 1 day, 9 hours, 38 minutes, 24 seconds

In other bases

ternary (3) 20011010100

quaternary (4) 131210100

quinary (5) 12333404

senary (6) 2332400

septenary (7) 1013034

nonary (9) 204110

undecimal (11) 82a95

duodecimal (12) 5a100

tridecimal (13) 43179

tetradecimal (14) 321c4

pentadecimal (15) 25d39

As an angle

121,104° = 336 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκαρδʹ
Mayan (base 20): 𝋯·𝋢·𝋯·𝋤
Chinese: 一十二萬一千一百零四
Chinese (financial): 壹拾貳萬壹仟壹佰零肆

In other modern scripts

Eastern Arabic ١٢١١٠٤ Devanagari १२११०४ Bengali ১২১১০৪ Tamil ௧௨௧௧௦௪ Thai ๑๒๑๑๐๔ Tibetan ༡༢༡༡༠༤ Khmer ១២១១០៤ Lao ໑໒໑໑໐໔ Burmese ၁၂၁၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121104, here are decompositions:

23 + 121081 = 121104
37 + 121067 = 121104
41 + 121063 = 121104
43 + 121061 = 121104
83 + 121021 = 121104
97 + 121007 = 121104
103 + 121001 = 121104
107 + 120997 = 121104

Showing the first eight; more decompositions exist.

Unicode codepoint

𝤐

Signwriting Brush Between

U+1D910

Other symbol (So)

UTF-8 encoding: F0 9D A4 90 (4 bytes).

Lookup U+1D910 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D910

RGB(1, 217, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.16.

Address: 0.1.217.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.217.16

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 121,104 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US121,104 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 121104 first appears in π at position 316,892 of the decimal expansion (the 316,892ordinal-suffix:nd 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.

Look up 121104 on Pi Search ↗