number.wiki
Live analysis

121,142

121,142 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.).

121,142 (one hundred twenty-one thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 17 × 509. Written other ways, in hexadecimal, 0x1D936.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
16
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
241,121
Square (n²)
14,675,384,164
Cube (n³)
1,777,805,388,395,288
Divisor count
16
σ(n) — sum of divisors
220,320
φ(n) — Euler's totient
48,768
Sum of prime factors
535

Primality

Prime factorization: 2 × 7 × 17 × 509

Nearest primes: 121,139 (−3) · 121,151 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 17 · 34 · 119 · 238 · 509 · 1018 · 3563 · 7126 · 8653 · 17306 · 60571 (half) · 121142
Aliquot sum (sum of proper divisors): 99,178
Factor pairs (a × b = 121,142)
1 × 121142
2 × 60571
7 × 17306
14 × 8653
17 × 7126
34 × 3563
119 × 1018
238 × 509
First multiples
121,142 · 242,284 (double) · 363,426 · 484,568 · 605,710 · 726,852 · 847,994 · 969,136 · 1,090,278 · 1,211,420

Sums & aliquot sequence

As consecutive integers: 30,284 + 30,285 + 30,286 + 30,287 17,303 + 17,304 + … + 17,309 7,118 + 7,119 + … + 7,134 4,313 + 4,314 + … + 4,340
Aliquot sequence: 121,142 99,178 58,394 45,094 32,234 17,014 9,194 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 1,606 1,058 — unresolved within range

Continued fraction of √n

√121,142 = [348; (18, 3, 6, 1, 1, 3, 2, 1, 5, 4, 1, 9, 1, 1, 2, 1, 1, 15, 1, 1, 1, 1, 6, 6, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred forty-two
Ordinal
121142nd
Binary
11101100100110110
Octal
354466
Hexadecimal
0x1D936
Base64
Adk2
One's complement
4,294,846,153 (32-bit)
Scientific notation
1.21142 × 10⁵
As a duration
121,142 s = 1 day, 9 hours, 39 minutes, 2 seconds
In other bases
ternary (3) 20011011202
quaternary (4) 131210312
quinary (5) 12334032
senary (6) 2332502
septenary (7) 1013120
nonary (9) 204152
undecimal (11) 8301a
duodecimal (12) 5a132
tridecimal (13) 431a8
tetradecimal (14) 32210
pentadecimal (15) 25d62

As an angle

121,142° = 336 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκαρμβʹ
Mayan (base 20)
𝋯·𝋢·𝋱·𝋢
Chinese
一十二萬一千一百四十二
Chinese (financial)
壹拾貳萬壹仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٢١١٤٢ Devanagari १२११४२ Bengali ১২১১৪২ Tamil ௧௨௧௧௪௨ Thai ๑๒๑๑๔๒ Tibetan ༡༢༡༡༤༢ Khmer ១២១១៤២ Lao ໑໒໑໑໔໒ Burmese ၁၂၁၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121142, here are decompositions:

  • 3 + 121139 = 121142
  • 19 + 121123 = 121142
  • 61 + 121081 = 121142
  • 79 + 121063 = 121142
  • 103 + 121039 = 121142
  • 199 + 120943 = 121142
  • 223 + 120919 = 121142
  • 271 + 120871 = 121142

Showing the first eight; more decompositions exist.

Unicode codepoint
𝤶
Signwriting Movement-Wallplane Triple Alternating
U+1D936
Other symbol (So)

UTF-8 encoding: F0 9D A4 B6 (4 bytes).

Hex color
#01D936
RGB(1, 217, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.54.

Address
0.1.217.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.54

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 121,142 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 121142 first appears in π at position 715,319 of the decimal expansion (the 715,319ordinal-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

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