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131,430

131,430 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.).

131,430 (one hundred thirty-one thousand four hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 13 × 337. Its proper divisors sum to 209,274, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20166.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
34,131
Recamán's sequence
a(229,512) = 131,430
Square (n²)
17,273,844,900
Cube (n³)
2,270,301,435,207,000
Divisor count
32
σ(n) — sum of divisors
340,704
φ(n) — Euler's totient
32,256
Sum of prime factors
360

Primality

Prime factorization: 2 × 3 × 5 × 13 × 337

Nearest primes: 131,413 (−17) · 131,431 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 13 · 15 · 26 · 30 · 39 · 65 · 78 · 130 · 195 · 337 · 390 · 674 · 1011 · 1685 · 2022 · 3370 · 4381 · 5055 · 8762 · 10110 · 13143 · 21905 · 26286 · 43810 · 65715 (half) · 131430
Aliquot sum (sum of proper divisors): 209,274
Factor pairs (a × b = 131,430)
1 × 131430
2 × 65715
3 × 43810
5 × 26286
6 × 21905
10 × 13143
13 × 10110
15 × 8762
26 × 5055
30 × 4381
39 × 3370
65 × 2022
78 × 1685
130 × 1011
195 × 674
337 × 390
First multiples
131,430 · 262,860 (double) · 394,290 · 525,720 · 657,150 · 788,580 · 920,010 · 1,051,440 · 1,182,870 · 1,314,300

Sums & aliquot sequence

As consecutive integers: 43,809 + 43,810 + 43,811 32,856 + 32,857 + 32,858 + 32,859 26,284 + 26,285 + 26,286 + 26,287 + 26,288 10,947 + 10,948 + … + 10,958
Aliquot sequence: 131,430 209,274 241,638 297,498 302,982 302,994 395,886 395,898 395,910 665,514 776,472 1,164,768 2,173,728 3,532,560 7,716,720 19,424,400 42,802,272 — unresolved within range

Continued fraction of √n

√131,430 = [362; (1, 1, 7, 7, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 18, 3, 2, 1, 1, 1, 1, 1, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred thirty
Ordinal
131430th
Binary
100000000101100110
Octal
400546
Hexadecimal
0x20166
Base64
AgFm
One's complement
4,294,835,865 (32-bit)
Scientific notation
1.3143 × 10⁵
As a duration
131,430 s = 1 day, 12 hours, 30 minutes, 30 seconds
In other bases
ternary (3) 20200021210
quaternary (4) 200011212
quinary (5) 13201210
senary (6) 2452250
septenary (7) 1055115
nonary (9) 220253
undecimal (11) 8a822
duodecimal (12) 64086
tridecimal (13) 47a90
tetradecimal (14) 35c7c
pentadecimal (15) 28e20

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλαυλʹ
Mayan (base 20)
𝋰·𝋨·𝋫·𝋪
Chinese
一十三萬一千四百三十
Chinese (financial)
壹拾參萬壹仟肆佰參拾
In other modern scripts
Eastern Arabic ١٣١٤٣٠ Devanagari १३१४३० Bengali ১৩১৪৩০ Tamil ௧௩௧௪௩௦ Thai ๑๓๑๔๓๐ Tibetan ༡༣༡༤༣༠ Khmer ១៣១៤៣០ Lao ໑໓໑໔໓໐ Burmese ၁၃၁၄၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131430, here are decompositions:

  • 17 + 131413 = 131430
  • 59 + 131371 = 131430
  • 67 + 131363 = 131430
  • 73 + 131357 = 131430
  • 109 + 131321 = 131430
  • 113 + 131317 = 131430
  • 127 + 131303 = 131430
  • 137 + 131293 = 131430

Showing the first eight; more decompositions exist.

Unicode codepoint
𠅦
CJK Unified Ideograph-20166
U+20166
Other letter (Lo)

UTF-8 encoding: F0 A0 85 A6 (4 bytes).

Hex color
#020166
RGB(2, 1, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.102.

Address
0.2.1.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.102

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 131,430 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 131430 first appears in π at position 892,867 of the decimal expansion (the 892,867ordinal-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°.