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125,100

125,100 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.).

125,100 (one hundred twenty-five thousand one hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5² × 139. Its proper divisors sum to 269,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E8AC.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
1,521
Recamán's sequence
a(235,964) = 125,100
Square (n²)
15,650,010,000
Cube (n³)
1,957,816,251,000,000
Divisor count
54
σ(n) — sum of divisors
394,940
φ(n) — Euler's totient
33,120
Sum of prime factors
159

Primality

Prime factorization: 2 2 × 3 2 × 5 2 × 139

Nearest primes: 125,093 (−7) · 125,101 (+1)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 139 · 150 · 180 · 225 · 278 · 300 · 417 · 450 · 556 · 695 · 834 · 900 · 1251 · 1390 · 1668 · 2085 · 2502 · 2780 · 3475 · 4170 · 5004 · 6255 · 6950 · 8340 · 10425 · 12510 · 13900 · 20850 · 25020 · 31275 · 41700 · 62550 (half) · 125100
Aliquot sum (sum of proper divisors): 269,840
Factor pairs (a × b = 125,100)
1 × 125100
2 × 62550
3 × 41700
4 × 31275
5 × 25020
6 × 20850
9 × 13900
10 × 12510
12 × 10425
15 × 8340
18 × 6950
20 × 6255
25 × 5004
30 × 4170
36 × 3475
45 × 2780
50 × 2502
60 × 2085
75 × 1668
90 × 1390
100 × 1251
139 × 900
150 × 834
180 × 695
225 × 556
278 × 450
300 × 417
First multiples
125,100 · 250,200 (double) · 375,300 · 500,400 · 625,500 · 750,600 · 875,700 · 1,000,800 · 1,125,900 · 1,251,000

Sums & aliquot sequence

As consecutive integers: 41,699 + 41,700 + 41,701 25,018 + 25,019 + 25,020 + 25,021 + 25,022 15,634 + 15,635 + … + 15,641 13,896 + 13,897 + … + 13,904
Aliquot sequence: 125,100 269,840 357,724 268,300 314,128 316,412 237,316 183,804 280,380 504,852 673,164 1,154,676 1,539,596 1,173,604 892,824 1,339,296 2,680,608 — unresolved within range

Continued fraction of √n

√125,100 = [353; (1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 11, 3, 1, 3, 6, 1, 1, 6, 1, 1, 6, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand one hundred
Ordinal
125100th
Binary
11110100010101100
Octal
364254
Hexadecimal
0x1E8AC
Base64
Aeis
One's complement
4,294,842,195 (32-bit)
Scientific notation
1.251 × 10⁵
As a duration
125,100 s = 1 day, 10 hours, 45 minutes
In other bases
ternary (3) 20100121100
quaternary (4) 132202230
quinary (5) 13000400
senary (6) 2403100
septenary (7) 1030503
nonary (9) 210540
undecimal (11) 85a98
duodecimal (12) 60490
tridecimal (13) 44c31
tetradecimal (14) 3383a
pentadecimal (15) 27100

As an angle

125,100° = 347 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵ρκερʹ
Mayan (base 20)
𝋯·𝋬·𝋯·𝋠
Chinese
一十二萬五千一百
Chinese (financial)
壹拾貳萬伍仟壹佰
In other modern scripts
Eastern Arabic ١٢٥١٠٠ Devanagari १२५१०० Bengali ১২৫১০০ Tamil ௧௨௫௧௦௦ Thai ๑๒๕๑๐๐ Tibetan ༡༢༥༡༠༠ Khmer ១២៥១០០ Lao ໑໒໕໑໐໐ Burmese ၁၂၅၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125100, here are decompositions:

  • 7 + 125093 = 125100
  • 37 + 125063 = 125100
  • 47 + 125053 = 125100
  • 71 + 125029 = 125100
  • 83 + 125017 = 125100
  • 97 + 125003 = 125100
  • 109 + 124991 = 125100
  • 113 + 124987 = 125100

Showing the first eight; more decompositions exist.

Unicode codepoint
𞢬
Mende Kikakui Syllable M070 Gbo
U+1E8AC
Other letter (Lo)

UTF-8 encoding: F0 9E A2 AC (4 bytes).

Hex color
#01E8AC
RGB(1, 232, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.172.

Address
0.1.232.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.172

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 125,100 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 125100 first appears in π at position 657,606 of the decimal expansion (the 657,606ordinal-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°.