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131,016

131,016 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 Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
610,131
Square (n²)
17,165,192,256
Cube (n³)
2,248,914,828,612,096
Divisor count
32
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
42,432
Sum of prime factors
165

Primality

Prime factorization: 2 3 × 3 × 53 × 103

Nearest primes: 131,011 (−5) · 131,023 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 53 · 103 · 106 · 159 · 206 · 212 · 309 · 318 · 412 · 424 · 618 · 636 · 824 · 1236 · 1272 · 2472 · 5459 · 10918 · 16377 · 21836 · 32754 · 43672 · 65508 (half) · 131016
Aliquot sum (sum of proper divisors): 205,944
Factor pairs (a × b = 131,016)
1 × 131016
2 × 65508
3 × 43672
4 × 32754
6 × 21836
8 × 16377
12 × 10918
24 × 5459
53 × 2472
103 × 1272
106 × 1236
159 × 824
206 × 636
212 × 618
309 × 424
318 × 412
First multiples
131,016 · 262,032 (double) · 393,048 · 524,064 · 655,080 · 786,096 · 917,112 · 1,048,128 · 1,179,144 · 1,310,160

Sums & aliquot sequence

As consecutive integers: 43,671 + 43,672 + 43,673 8,181 + 8,182 + … + 8,196 2,706 + 2,707 + … + 2,753 2,446 + 2,447 + … + 2,498
Aliquot sequence: 131,016 205,944 308,976 513,888 874,128 1,384,160 1,981,552 1,880,304 3,095,568 7,195,440 18,302,928 40,740,912 78,244,032 128,777,144 112,932,256 116,577,248 122,914,480 — unresolved within range

Continued fraction of √n

√131,016 = [361; (1, 24, 1, 5, 1, 13, 1, 11, 7, 1, 1, 6, 2, 1, 3, 3, 1, 1, 1, 28, 3, 7, 7, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand sixteen
Ordinal
131016th
Binary
11111111111001000
Octal
377710
Hexadecimal
0x1FFC8
Base64
Af/I
One's complement
4,294,836,279 (32-bit)
Scientific notation
1.31016 × 10⁵
As a duration
131,016 s = 1 day, 12 hours, 23 minutes, 36 seconds
In other bases
ternary (3) 20122201110
quaternary (4) 133333020
quinary (5) 13143031
senary (6) 2450320
septenary (7) 1053654
nonary (9) 218643
undecimal (11) 8a486
duodecimal (12) 639a0
tridecimal (13) 47832
tetradecimal (14) 35a64
pentadecimal (15) 28c46

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαιϛʹ
Mayan (base 20)
𝋰·𝋧·𝋪·𝋰
Chinese
一十三萬一千零一十六
Chinese (financial)
壹拾參萬壹仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣١٠١٦ Devanagari १३१०१६ Bengali ১৩১০১৬ Tamil ௧௩௧௦௧௬ Thai ๑๓๑๐๑๖ Tibetan ༡༣༡༠༡༦ Khmer ១៣១០១៦ Lao ໑໓໑໐໑໖ Burmese ၁၃၁၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131016, here are decompositions:

  • 5 + 131011 = 131016
  • 7 + 131009 = 131016
  • 29 + 130987 = 131016
  • 43 + 130973 = 131016
  • 47 + 130969 = 131016
  • 59 + 130957 = 131016
  • 89 + 130927 = 131016
  • 157 + 130859 = 131016

Showing the first eight; more decompositions exist.

Hex color
#01FFC8
RGB(1, 255, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.200.

Address
0.1.255.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.200

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 131,016 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 131016 first appears in π at position 217,267 of the decimal expansion (the 217,267ordinal-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.