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121,210

121,210 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.).

121,210 (one hundred twenty-one thousand two hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 17 × 23 × 31. Its proper divisors sum to 127,622, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D97A.

Abundant Number Arithmetic Number Consecutive Digits Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
12,121
Square (n²)
14,691,864,100
Cube (n³)
1,780,800,847,561,000
Divisor count
32
σ(n) — sum of divisors
248,832
φ(n) — Euler's totient
42,240
Sum of prime factors
78

Primality

Prime factorization: 2 × 5 × 17 × 23 × 31

Nearest primes: 121,189 (−21) · 121,229 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 17 · 23 · 31 · 34 · 46 · 62 · 85 · 115 · 155 · 170 · 230 · 310 · 391 · 527 · 713 · 782 · 1054 · 1426 · 1955 · 2635 · 3565 · 3910 · 5270 · 7130 · 12121 · 24242 · 60605 (half) · 121210
Aliquot sum (sum of proper divisors): 127,622
Factor pairs (a × b = 121,210)
1 × 121210
2 × 60605
5 × 24242
10 × 12121
17 × 7130
23 × 5270
31 × 3910
34 × 3565
46 × 2635
62 × 1955
85 × 1426
115 × 1054
155 × 782
170 × 713
230 × 527
310 × 391
First multiples
121,210 · 242,420 (double) · 363,630 · 484,840 · 606,050 · 727,260 · 848,470 · 969,680 · 1,090,890 · 1,212,100

Sums & aliquot sequence

As consecutive integers: 30,301 + 30,302 + 30,303 + 30,304 24,240 + 24,241 + 24,242 + 24,243 + 24,244 7,122 + 7,123 + … + 7,138 6,051 + 6,052 + … + 6,070
Aliquot sequence: 121,210 127,622 81,250 82,802 47,998 25,010 21,862 12,914 8,254 4,130 4,510 4,562 2,284 1,720 2,240 3,856 3,646 — unresolved within range

Continued fraction of √n

√121,210 = [348; (6, 1, 1, 3, 4, 1, 7, 77, 4, 5, 1, 1, 45, 1, 7, 8, 2, 8, 7, 1, 45, 1, 1, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand two hundred ten
Ordinal
121210th
Binary
11101100101111010
Octal
354572
Hexadecimal
0x1D97A
Base64
Adl6
One's complement
4,294,846,085 (32-bit)
Scientific notation
1.2121 × 10⁵
As a duration
121,210 s = 1 day, 9 hours, 40 minutes, 10 seconds
In other bases
ternary (3) 20011021021
quaternary (4) 131211322
quinary (5) 12334320
senary (6) 2333054
septenary (7) 1013245
nonary (9) 204237
undecimal (11) 83081
duodecimal (12) 5a18a
tridecimal (13) 4322b
tetradecimal (14) 3225c
pentadecimal (15) 25daa

As an angle

121,210° = 336 × 360° + 250°
250° ≈ 4.363 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓎆
Greek (Milesian)
͵ρκασιʹ
Mayan (base 20)
𝋯·𝋣·𝋠·𝋪
Chinese
一十二萬一千二百一十
Chinese (financial)
壹拾貳萬壹仟貳佰壹拾
In other modern scripts
Eastern Arabic ١٢١٢١٠ Devanagari १२१२१० Bengali ১২১২১০ Tamil ௧௨௧௨௧௦ Thai ๑๒๑๒๑๐ Tibetan ༡༢༡༢༡༠ Khmer ១២១២១០ Lao ໑໒໑໒໑໐ Burmese ၁၂၁၂၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121210, here are decompositions:

  • 29 + 121181 = 121210
  • 41 + 121169 = 121210
  • 53 + 121157 = 121210
  • 59 + 121151 = 121210
  • 71 + 121139 = 121210
  • 149 + 121061 = 121210
  • 191 + 121019 = 121210
  • 197 + 121013 = 121210

Showing the first eight; more decompositions exist.

Unicode codepoint
𝥺
Signwriting Movement-Floorplane Box Large
U+1D97A
Other symbol (So)

UTF-8 encoding: F0 9D A5 BA (4 bytes).

Hex color
#01D97A
RGB(1, 217, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.122.

Address
0.1.217.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.122

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 121,210 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 121210 first appears in π at position 858,096 of the decimal expansion (the 858,096ordinal-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