number.wiki
Live analysis

131,130

131,130 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 Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
31,131
Square (n²)
17,195,076,900
Cube (n³)
2,254,790,433,897,000
Divisor count
48
σ(n) — sum of divisors
359,424
φ(n) — Euler's totient
33,120
Sum of prime factors
91

Primality

Prime factorization: 2 × 3 2 × 5 × 31 × 47

Nearest primes: 131,129 (−1) · 131,143 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 30 · 31 · 45 · 47 · 62 · 90 · 93 · 94 · 141 · 155 · 186 · 235 · 279 · 282 · 310 · 423 · 465 · 470 · 558 · 705 · 846 · 930 · 1395 · 1410 · 1457 · 2115 · 2790 · 2914 · 4230 · 4371 · 7285 · 8742 · 13113 · 14570 · 21855 · 26226 · 43710 · 65565 (half) · 131130
Aliquot sum (sum of proper divisors): 228,294
Factor pairs (a × b = 131,130)
1 × 131130
2 × 65565
3 × 43710
5 × 26226
6 × 21855
9 × 14570
10 × 13113
15 × 8742
18 × 7285
30 × 4371
31 × 4230
45 × 2914
47 × 2790
62 × 2115
90 × 1457
93 × 1410
94 × 1395
141 × 930
155 × 846
186 × 705
235 × 558
279 × 470
282 × 465
310 × 423
First multiples
131,130 · 262,260 (double) · 393,390 · 524,520 · 655,650 · 786,780 · 917,910 · 1,049,040 · 1,180,170 · 1,311,300

Sums & aliquot sequence

As consecutive integers: 43,709 + 43,710 + 43,711 32,781 + 32,782 + 32,783 + 32,784 26,224 + 26,225 + 26,226 + 26,227 + 26,228 14,566 + 14,567 + … + 14,574
Aliquot sequence: 131,130 228,294 311,778 363,780 789,372 1,257,428 943,078 471,542 273,058 138,782 110,050 104,222 61,186 30,596 22,954 13,046 8,338 — unresolved within range

Continued fraction of √n

√131,130 = [362; (8, 2, 2, 1, 1, 1, 1, 1, 27, 4, 4, 80, 4, 4, 27, 1, 1, 1, 1, 1, 2, 2, 8, 724)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred thirty
Ordinal
131130th
Binary
100000000000111010
Octal
400072
Hexadecimal
0x2003A
Base64
AgA6
One's complement
4,294,836,165 (32-bit)
Scientific notation
1.3113 × 10⁵
As a duration
131,130 s = 1 day, 12 hours, 25 minutes, 30 seconds
In other bases
ternary (3) 20122212200
quaternary (4) 200000322
quinary (5) 13144010
senary (6) 2451030
septenary (7) 1054206
nonary (9) 218780
undecimal (11) 8a57a
duodecimal (12) 63a76
tridecimal (13) 478bc
tetradecimal (14) 35b06
pentadecimal (15) 28cc0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλαρλʹ
Mayan (base 20)
𝋰·𝋧·𝋰·𝋪
Chinese
一十三萬一千一百三十
Chinese (financial)
壹拾參萬壹仟壹佰參拾
In other modern scripts
Eastern Arabic ١٣١١٣٠ Devanagari १३११३० Bengali ১৩১১৩০ Tamil ௧௩௧௧௩௦ Thai ๑๓๑๑๓๐ Tibetan ༡༣༡༡༣༠ Khmer ១៣១១៣០ Lao ໑໓໑໑໓໐ Burmese ၁၃၁၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131130, here are decompositions:

  • 17 + 131113 = 131130
  • 19 + 131111 = 131130
  • 29 + 131101 = 131130
  • 59 + 131071 = 131130
  • 67 + 131063 = 131130
  • 71 + 131059 = 131130
  • 89 + 131041 = 131130
  • 107 + 131023 = 131130

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀺
CJK Unified Ideograph-2003A
U+2003A
Other letter (Lo)

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

Hex color
#02003A
RGB(2, 0, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.58.

Address
0.2.0.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.58

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 131,130 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 131130 first appears in π at position 389,509 of the decimal expansion (the 389,509ordinal-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.