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122,900

122,900 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.).

122,900 (one hundred twenty-two thousand nine hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,229. Its proper divisors sum to 144,010, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E014.

Abundant Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
9,221
Square (n²)
15,104,410,000
Cube (n³)
1,856,331,989,000,000
Divisor count
18
σ(n) — sum of divisors
266,910
φ(n) — Euler's totient
49,120
Sum of prime factors
1,243

Primality

Prime factorization: 2 2 × 5 2 × 1229

Nearest primes: 122,891 (−9) · 122,921 (+21)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 1229 · 2458 · 4916 · 6145 · 12290 · 24580 · 30725 · 61450 (half) · 122900
Aliquot sum (sum of proper divisors): 144,010
Factor pairs (a × b = 122,900)
1 × 122900
2 × 61450
4 × 30725
5 × 24580
10 × 12290
20 × 6145
25 × 4916
50 × 2458
100 × 1229
First multiples
122,900 · 245,800 (double) · 368,700 · 491,600 · 614,500 · 737,400 · 860,300 · 983,200 · 1,106,100 · 1,229,000

Sums & aliquot sequence

As a sum of two squares: 20² + 350² = 194² + 292² = 226² + 268²
As consecutive integers: 24,578 + 24,579 + 24,580 + 24,581 + 24,582 15,359 + 15,360 + … + 15,366 4,904 + 4,905 + … + 4,928 3,053 + 3,054 + … + 3,092
Aliquot sequence: 122,900 144,010 115,226 67,834 41,786 24,634 12,986 7,078 3,542 3,370 2,714 1,606 1,058 601 1 0 — terminates at zero

Continued fraction of √n

√122,900 = [350; (1, 1, 3, 43, 1, 1, 6, 1, 1, 43, 3, 1, 1, 700)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand nine hundred
Ordinal
122900th
Binary
11110000000010100
Octal
360024
Hexadecimal
0x1E014
Base64
AeAU
One's complement
4,294,844,395 (32-bit)
Scientific notation
1.229 × 10⁵
As a duration
122,900 s = 1 day, 10 hours, 8 minutes, 20 seconds
In other bases
ternary (3) 20020120212
quaternary (4) 132000110
quinary (5) 12413100
senary (6) 2344552
septenary (7) 1021211
nonary (9) 206525
undecimal (11) 84378
duodecimal (12) 5b158
tridecimal (13) 43c2b
tetradecimal (14) 32b08
pentadecimal (15) 26635

As an angle

122,900° = 341 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκβϡʹ
Mayan (base 20)
𝋯·𝋧·𝋥·𝋠
Chinese
一十二萬二千九百
Chinese (financial)
壹拾貳萬貳仟玖佰
In other modern scripts
Eastern Arabic ١٢٢٩٠٠ Devanagari १२२९०० Bengali ১২২৯০০ Tamil ௧௨௨௯௦௦ Thai ๑๒๒๙๐๐ Tibetan ༡༢༢༩༠༠ Khmer ១២២៩០០ Lao ໑໒໒໙໐໐ Burmese ၁၂၂၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122900, here are decompositions:

  • 13 + 122887 = 122900
  • 31 + 122869 = 122900
  • 61 + 122839 = 122900
  • 67 + 122833 = 122900
  • 73 + 122827 = 122900
  • 139 + 122761 = 122900
  • 157 + 122743 = 122900
  • 181 + 122719 = 122900

Showing the first eight; more decompositions exist.

Unicode codepoint
𞀔
Combining Glagolitic Letter Slovo
U+1E014
Non-spacing mark (Mn)

UTF-8 encoding: F0 9E 80 94 (4 bytes).

Hex color
#01E014
RGB(1, 224, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.20.

Address
0.1.224.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.20

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 122,900 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 122900 first appears in π at position 260,378 of the decimal expansion (the 260,378ordinal-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.