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121,400

121,400 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.).

121,400 (one hundred twenty-one thousand four hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 607. Its proper divisors sum to 161,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA38.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
4,121
Square (n²)
14,737,960,000
Cube (n³)
1,789,188,344,000,000
Divisor count
24
σ(n) — sum of divisors
282,720
φ(n) — Euler's totient
48,480
Sum of prime factors
623

Primality

Prime factorization: 2 3 × 5 2 × 607

Nearest primes: 121,379 (−21) · 121,403 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 607 · 1214 · 2428 · 3035 · 4856 · 6070 · 12140 · 15175 · 24280 · 30350 · 60700 (half) · 121400
Aliquot sum (sum of proper divisors): 161,320
Factor pairs (a × b = 121,400)
1 × 121400
2 × 60700
4 × 30350
5 × 24280
8 × 15175
10 × 12140
20 × 6070
25 × 4856
40 × 3035
50 × 2428
100 × 1214
200 × 607
First multiples
121,400 · 242,800 (double) · 364,200 · 485,600 · 607,000 · 728,400 · 849,800 · 971,200 · 1,092,600 · 1,214,000

Sums & aliquot sequence

As consecutive integers: 24,278 + 24,279 + 24,280 + 24,281 + 24,282 7,580 + 7,581 + … + 7,595 4,844 + 4,845 + … + 4,868 1,478 + 1,479 + … + 1,557
Aliquot sequence: 121,400 161,320 214,880 329,440 487,040 678,820 746,744 662,656 708,224 834,016 836,744 732,166 389,594 199,654 169,274 126,214 80,354 — unresolved within range

Continued fraction of √n

√121,400 = [348; (2, 2, 1, 5, 22, 3, 3, 2, 5, 1, 1, 2, 1, 16, 3, 1, 1, 2, 3, 8, 1, 6, 1, 14, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred
Ordinal
121400th
Binary
11101101000111000
Octal
355070
Hexadecimal
0x1DA38
Base64
Ado4
One's complement
4,294,845,895 (32-bit)
Scientific notation
1.214 × 10⁵
As a duration
121,400 s = 1 day, 9 hours, 43 minutes, 20 seconds
In other bases
ternary (3) 20011112022
quaternary (4) 131220320
quinary (5) 12341100
senary (6) 2334012
septenary (7) 1013636
nonary (9) 204468
undecimal (11) 83234
duodecimal (12) 5a308
tridecimal (13) 43346
tetradecimal (14) 32356
pentadecimal (15) 25e85

As an angle

121,400° = 337 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκαυʹ
Mayan (base 20)
𝋯·𝋣·𝋪·𝋠
Chinese
一十二萬一千四百
Chinese (financial)
壹拾貳萬壹仟肆佰
In other modern scripts
Eastern Arabic ١٢١٤٠٠ Devanagari १२१४०० Bengali ১২১৪০০ Tamil ௧௨௧௪௦௦ Thai ๑๒๑๔๐๐ Tibetan ༡༢༡༤༠༠ Khmer ១២១៤០០ Lao ໑໒໑໔໐໐ Burmese ၁၂၁၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121400, here are decompositions:

  • 31 + 121369 = 121400
  • 43 + 121357 = 121400
  • 67 + 121333 = 121400
  • 73 + 121327 = 121400
  • 79 + 121321 = 121400
  • 109 + 121291 = 121400
  • 211 + 121189 = 121400
  • 229 + 121171 = 121400

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨸
Signwriting Air Suck Small Rotations
U+1DA38
Other symbol (So)

UTF-8 encoding: F0 9D A8 B8 (4 bytes).

Hex color
#01DA38
RGB(1, 218, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.56.

Address
0.1.218.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.56

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 121,400 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 121400 first appears in π at position 914,920 of the decimal expansion (the 914,920ordinal-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.