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131,170

131,170 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.).
Cube-Free Deficient Number Evil Number Gapful Number Harshad / Niven Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
71,131
Square (n²)
17,205,568,900
Cube (n³)
2,256,854,472,613,000
Divisor count
16
σ(n) — sum of divisors
254,520
φ(n) — Euler's totient
48,384
Sum of prime factors
1,029

Primality

Prime factorization: 2 × 5 × 13 × 1009

Nearest primes: 131,149 (−21) · 131,171 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 130 · 1009 · 2018 · 5045 · 10090 · 13117 · 26234 · 65585 (half) · 131170
Aliquot sum (sum of proper divisors): 123,350
Factor pairs (a × b = 131,170)
1 × 131170
2 × 65585
5 × 26234
10 × 13117
13 × 10090
26 × 5045
65 × 2018
130 × 1009
First multiples
131,170 · 262,340 (double) · 393,510 · 524,680 · 655,850 · 787,020 · 918,190 · 1,049,360 · 1,180,530 · 1,311,700

Sums & aliquot sequence

As a sum of two squares: 61² + 357² = 81² + 353² = 147² + 331² = 249² + 263²
As consecutive integers: 32,791 + 32,792 + 32,793 + 32,794 26,232 + 26,233 + 26,234 + 26,235 + 26,236 10,084 + 10,085 + … + 10,096 6,549 + 6,550 + … + 6,568
Aliquot sequence: 131,170 123,350 106,174 53,090 42,490 45,062 22,534 13,106 6,556 6,044 4,540 5,036 3,784 4,136 4,504 3,956 3,436 — unresolved within range

Continued fraction of √n

√131,170 = [362; (5, 1, 2, 1, 23, 2, 2, 6, 2, 80, 51, 1, 2, 1, 1, 1, 14, 6, 1, 4, 1, 8, 8, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred seventy
Ordinal
131170th
Binary
100000000001100010
Octal
400142
Hexadecimal
0x20062
Base64
AgBi
One's complement
4,294,836,125 (32-bit)
Scientific notation
1.3117 × 10⁵
As a duration
131,170 s = 1 day, 12 hours, 26 minutes, 10 seconds
In other bases
ternary (3) 20122221011
quaternary (4) 200001202
quinary (5) 13144140
senary (6) 2451134
septenary (7) 1054264
nonary (9) 218834
undecimal (11) 8a606
duodecimal (12) 63aaa
tridecimal (13) 47920
tetradecimal (14) 35b34
pentadecimal (15) 28cea

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαροʹ
Mayan (base 20)
𝋰·𝋧·𝋲·𝋪
Chinese
一十三萬一千一百七十
Chinese (financial)
壹拾參萬壹仟壹佰柒拾
In other modern scripts
Eastern Arabic ١٣١١٧٠ Devanagari १३११७० Bengali ১৩১১৭০ Tamil ௧௩௧௧௭௦ Thai ๑๓๑๑๗๐ Tibetan ༡༣༡༡༧༠ Khmer ១៣១១៧០ Lao ໑໓໑໑໗໐ Burmese ၁၃၁၁၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131170, here are decompositions:

  • 41 + 131129 = 131170
  • 59 + 131111 = 131170
  • 107 + 131063 = 131170
  • 197 + 130973 = 131170
  • 311 + 130859 = 131170
  • 353 + 130817 = 131170
  • 359 + 130811 = 131170
  • 383 + 130787 = 131170

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁢
CJK Unified Ideograph-20062
U+20062
Other letter (Lo)

UTF-8 encoding: F0 A0 81 A2 (4 bytes).

Hex color
#020062
RGB(2, 0, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.98.

Address
0.2.0.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.98

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 131,170 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 131170 first appears in π at position 559,738 of the decimal expansion (the 559,738ordinal-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.