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121,316

121,316 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.).

121,316 (one hundred twenty-one thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,333. Written other ways, in hexadecimal, 0x1D9E4.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
613,121
Square (n²)
14,717,571,856
Cube (n³)
1,785,476,947,282,496
Divisor count
12
σ(n) — sum of divisors
228,732
φ(n) — Euler's totient
55,968
Sum of prime factors
2,350

Primality

Prime factorization: 2 2 × 13 × 2333

Nearest primes: 121,313 (−3) · 121,321 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2333 · 4666 · 9332 · 30329 · 60658 (half) · 121316
Aliquot sum (sum of proper divisors): 107,416
Factor pairs (a × b = 121,316)
1 × 121316
2 × 60658
4 × 30329
13 × 9332
26 × 4666
52 × 2333
First multiples
121,316 · 242,632 (double) · 363,948 · 485,264 · 606,580 · 727,896 · 849,212 · 970,528 · 1,091,844 · 1,213,160

Sums & aliquot sequence

As a sum of two squares: 40² + 346² = 170² + 304²
As consecutive integers: 15,161 + 15,162 + … + 15,168 9,326 + 9,327 + … + 9,338 1,115 + 1,116 + … + 1,218
Aliquot sequence: 121,316 107,416 101,384 114,616 100,304 94,066 67,214 48,034 37,214 21,106 11,258 6,970 6,638 3,322 2,150 1,942 974 — unresolved within range

Continued fraction of √n

√121,316 = [348; (3, 3, 1, 1, 15, 1, 1, 1, 2, 1, 5, 3, 1, 1, 2, 3, 1, 27, 10, 1, 5, 1, 1, 1, …)]

Representations

In words
one hundred twenty-one thousand three hundred sixteen
Ordinal
121316th
Binary
11101100111100100
Octal
354744
Hexadecimal
0x1D9E4
Base64
Adnk
One's complement
4,294,845,979 (32-bit)
Scientific notation
1.21316 × 10⁵
As a duration
121,316 s = 1 day, 9 hours, 41 minutes, 56 seconds
In other bases
ternary (3) 20011102012
quaternary (4) 131213210
quinary (5) 12340231
senary (6) 2333352
septenary (7) 1013456
nonary (9) 204365
undecimal (11) 83168
duodecimal (12) 5a258
tridecimal (13) 432b0
tetradecimal (14) 322d6
pentadecimal (15) 25e2b

As an angle

121,316° = 336 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατιϛʹ
Mayan (base 20)
𝋯·𝋣·𝋥·𝋰
Chinese
一十二萬一千三百一十六
Chinese (financial)
壹拾貳萬壹仟參佰壹拾陸
In other modern scripts
Eastern Arabic ١٢١٣١٦ Devanagari १२१३१६ Bengali ১২১৩১৬ Tamil ௧௨௧௩௧௬ Thai ๑๒๑๓๑๖ Tibetan ༡༢༡༣༡༦ Khmer ១២១៣១៦ Lao ໑໒໑໓໑໖ Burmese ၁၂၁၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121316, here are decompositions:

  • 3 + 121313 = 121316
  • 7 + 121309 = 121316
  • 127 + 121189 = 121316
  • 193 + 121123 = 121316
  • 277 + 121039 = 121316
  • 373 + 120943 = 121316
  • 379 + 120937 = 121316
  • 397 + 120919 = 121316

Showing the first eight; more decompositions exist.

Unicode codepoint
𝧤
Signwriting Movement-Wallplane Arm Circle Medium Single
U+1D9E4
Other symbol (So)

UTF-8 encoding: F0 9D A7 A4 (4 bytes).

Hex color
#01D9E4
RGB(1, 217, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.228.

Address
0.1.217.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.228

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 121,316 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 121316 first appears in π at position 855,022 of the decimal expansion (the 855,022ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.