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121,356

121,356 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.).

121,356 (one hundred twenty-one thousand three hundred fifty-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,371. Its proper divisors sum to 185,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA0C.

Abundant Number Cube-Free Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
653,121
Square (n²)
14,727,278,736
Cube (n³)
1,787,243,638,286,016
Divisor count
18
σ(n) — sum of divisors
306,852
φ(n) — Euler's totient
40,440
Sum of prime factors
3,381

Primality

Prime factorization: 2 2 × 3 2 × 3371

Nearest primes: 121,351 (−5) · 121,357 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3371 · 6742 · 10113 · 13484 · 20226 · 30339 · 40452 · 60678 (half) · 121356
Aliquot sum (sum of proper divisors): 185,496
Factor pairs (a × b = 121,356)
1 × 121356
2 × 60678
3 × 40452
4 × 30339
6 × 20226
9 × 13484
12 × 10113
18 × 6742
36 × 3371
First multiples
121,356 · 242,712 (double) · 364,068 · 485,424 · 606,780 · 728,136 · 849,492 · 970,848 · 1,092,204 · 1,213,560

Sums & aliquot sequence

As consecutive integers: 40,451 + 40,452 + 40,453 15,166 + 15,167 + … + 15,173 13,480 + 13,481 + … + 13,488 5,045 + 5,046 + … + 5,068
Aliquot sequence: 121,356 185,496 289,704 434,616 909,384 1,689,336 3,552,264 6,182,136 10,991,064 20,412,456 32,702,424 53,863,896 81,584,664 152,889,576 287,335,704 431,003,616 700,381,128 — unresolved within range

Continued fraction of √n

√121,356 = [348; (2, 1, 3, 4, 2, 3, 2, 1, 19, 4, 1, 3, 14, 1, 1, 3, 1, 1, 1, 1, 6, 2, 2, 1, …)]

Representations

In words
one hundred twenty-one thousand three hundred fifty-six
Ordinal
121356th
Binary
11101101000001100
Octal
355014
Hexadecimal
0x1DA0C
Base64
AdoM
One's complement
4,294,845,939 (32-bit)
Scientific notation
1.21356 × 10⁵
As a duration
121,356 s = 1 day, 9 hours, 42 minutes, 36 seconds
In other bases
ternary (3) 20011110200
quaternary (4) 131220030
quinary (5) 12340411
senary (6) 2333500
septenary (7) 1013544
nonary (9) 204420
undecimal (11) 831a4
duodecimal (12) 5a290
tridecimal (13) 43311
tetradecimal (14) 32324
pentadecimal (15) 25e56

As an angle

121,356° = 337 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατνϛʹ
Mayan (base 20)
𝋯·𝋣·𝋧·𝋰
Chinese
一十二萬一千三百五十六
Chinese (financial)
壹拾貳萬壹仟參佰伍拾陸
In other modern scripts
Eastern Arabic ١٢١٣٥٦ Devanagari १२१३५६ Bengali ১২১৩৫৬ Tamil ௧௨௧௩௫௬ Thai ๑๒๑๓๕๖ Tibetan ༡༢༡༣༥༦ Khmer ១២១៣៥៦ Lao ໑໒໑໓໕໖ Burmese ၁၂၁၃၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121356, here are decompositions:

  • 5 + 121351 = 121356
  • 7 + 121349 = 121356
  • 13 + 121343 = 121356
  • 23 + 121333 = 121356
  • 29 + 121327 = 121356
  • 43 + 121313 = 121356
  • 47 + 121309 = 121356
  • 73 + 121283 = 121356

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨌
Signwriting Eyebrows Straight Down
U+1DA0C
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 8C (4 bytes).

Hex color
#01DA0C
RGB(1, 218, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.12.

Address
0.1.218.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.12

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 121,356 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 121356 first appears in π at position 244,226 of the decimal expansion (the 244,226ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.