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131,100

131,100 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.).
Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
1,131
Square (n²)
17,187,210,000
Cube (n³)
2,253,243,231,000,000
Divisor count
72
σ(n) — sum of divisors
416,640
φ(n) — Euler's totient
31,680
Sum of prime factors
59

Primality

Prime factorization: 2 2 × 3 × 5 2 × 19 × 23

Nearest primes: 131,071 (−29) · 131,101 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 19 · 20 · 23 · 25 · 30 · 38 · 46 · 50 · 57 · 60 · 69 · 75 · 76 · 92 · 95 · 100 · 114 · 115 · 138 · 150 · 190 · 228 · 230 · 276 · 285 · 300 · 345 · 380 · 437 · 460 · 475 · 570 · 575 · 690 · 874 · 950 · 1140 · 1150 · 1311 · 1380 · 1425 · 1725 · 1748 · 1900 · 2185 · 2300 · 2622 · 2850 · 3450 · 4370 · 5244 · 5700 · 6555 · 6900 · 8740 · 10925 · 13110 · 21850 · 26220 · 32775 · 43700 · 65550 (half) · 131100
Aliquot sum (sum of proper divisors): 285,540
Factor pairs (a × b = 131,100)
1 × 131100
2 × 65550
3 × 43700
4 × 32775
5 × 26220
6 × 21850
10 × 13110
12 × 10925
15 × 8740
19 × 6900
20 × 6555
23 × 5700
25 × 5244
30 × 4370
38 × 3450
46 × 2850
50 × 2622
57 × 2300
60 × 2185
69 × 1900
75 × 1748
76 × 1725
92 × 1425
95 × 1380
100 × 1311
114 × 1150
115 × 1140
138 × 950
150 × 874
190 × 690
228 × 575
230 × 570
276 × 475
285 × 460
300 × 437
345 × 380
First multiples
131,100 · 262,200 (double) · 393,300 · 524,400 · 655,500 · 786,600 · 917,700 · 1,048,800 · 1,179,900 · 1,311,000

Sums & aliquot sequence

As consecutive integers: 43,699 + 43,700 + 43,701 26,218 + 26,219 + 26,220 + 26,221 + 26,222 16,384 + 16,385 + … + 16,391 8,733 + 8,734 + … + 8,747
Aliquot sequence: 131,100 285,540 514,140 1,179,300 2,233,676 1,706,932 1,290,608 1,437,640 1,834,040 2,611,240 3,333,440 5,335,072 5,532,428 5,029,564 4,260,164 3,195,130 2,697,134 — unresolved within range

Continued fraction of √n

√131,100 = [362; (12, 1, 13, 3, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 3, 13, 1, 12, 724)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred
Ordinal
131100th
Binary
100000000000011100
Octal
400034
Hexadecimal
0x2001C
Base64
AgAc
One's complement
4,294,836,195 (32-bit)
Scientific notation
1.311 × 10⁵
As a duration
131,100 s = 1 day, 12 hours, 25 minutes
In other bases
ternary (3) 20122211120
quaternary (4) 200000130
quinary (5) 13143400
senary (6) 2450540
septenary (7) 1054134
nonary (9) 218746
undecimal (11) 8a552
duodecimal (12) 63a50
tridecimal (13) 47898
tetradecimal (14) 35ac4
pentadecimal (15) 28ca0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢
Greek (Milesian)
͵ρλαρʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋠
Chinese
一十三萬一千一百
Chinese (financial)
壹拾參萬壹仟壹佰
In other modern scripts
Eastern Arabic ١٣١١٠٠ Devanagari १३११०० Bengali ১৩১১০০ Tamil ௧௩௧௧௦௦ Thai ๑๓๑๑๐๐ Tibetan ༡༣༡༡༠༠ Khmer ១៣១១០០ Lao ໑໓໑໑໐໐ Burmese ၁၃၁၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131100, here are decompositions:

  • 29 + 131071 = 131100
  • 37 + 131063 = 131100
  • 41 + 131059 = 131100
  • 59 + 131041 = 131100
  • 89 + 131011 = 131100
  • 113 + 130987 = 131100
  • 127 + 130973 = 131100
  • 131 + 130969 = 131100

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀜
CJK Unified Ideograph-2001C
U+2001C
Other letter (Lo)

UTF-8 encoding: F0 A0 80 9C (4 bytes).

Hex color
#02001C
RGB(2, 0, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.28.

Address
0.2.0.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.28

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 131,100 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131100 first appears in π at position 807,226 of the decimal expansion (the 807,226ordinal-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.