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131,352

131,352 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.).

131,352 (one hundred thirty-one thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 421. Its proper divisors sum to 223,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20118.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
253,131
Square (n²)
17,253,347,904
Cube (n³)
2,266,261,753,886,208
Divisor count
32
σ(n) — sum of divisors
354,480
φ(n) — Euler's totient
40,320
Sum of prime factors
443

Primality

Prime factorization: 2 3 × 3 × 13 × 421

Nearest primes: 131,321 (−31) · 131,357 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 312 · 421 · 842 · 1263 · 1684 · 2526 · 3368 · 5052 · 5473 · 10104 · 10946 · 16419 · 21892 · 32838 · 43784 · 65676 (half) · 131352
Aliquot sum (sum of proper divisors): 223,128
Factor pairs (a × b = 131,352)
1 × 131352
2 × 65676
3 × 43784
4 × 32838
6 × 21892
8 × 16419
12 × 10946
13 × 10104
24 × 5473
26 × 5052
39 × 3368
52 × 2526
78 × 1684
104 × 1263
156 × 842
312 × 421
First multiples
131,352 · 262,704 (double) · 394,056 · 525,408 · 656,760 · 788,112 · 919,464 · 1,050,816 · 1,182,168 · 1,313,520

Sums & aliquot sequence

As consecutive integers: 43,783 + 43,784 + 43,785 10,098 + 10,099 + … + 10,110 8,202 + 8,203 + … + 8,217 3,349 + 3,350 + … + 3,387
Aliquot sequence: 131,352 223,128 397,272 595,968 1,009,272 1,744,008 3,331,272 6,345,528 12,005,832 18,143,448 27,215,232 56,506,368 103,296,912 167,935,728 265,898,360 513,930,760 807,606,200 — unresolved within range

Continued fraction of √n

√131,352 = [362; (2, 2, 1, 5, 3, 1, 1, 1, 1, 1, 2, 1, 1, 14, 4, 1, 2, 2, 1, 59, 1, 2, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred fifty-two
Ordinal
131352nd
Binary
100000000100011000
Octal
400430
Hexadecimal
0x20118
Base64
AgEY
One's complement
4,294,835,943 (32-bit)
Scientific notation
1.31352 × 10⁵
As a duration
131,352 s = 1 day, 12 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 20200011220
quaternary (4) 200010120
quinary (5) 13200402
senary (6) 2452040
septenary (7) 1054644
nonary (9) 220156
undecimal (11) 8a761
duodecimal (12) 64020
tridecimal (13) 47a30
tetradecimal (14) 35c24
pentadecimal (15) 28dbc

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλατνβʹ
Mayan (base 20)
𝋰·𝋨·𝋧·𝋬
Chinese
一十三萬一千三百五十二
Chinese (financial)
壹拾參萬壹仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٣٥٢ Devanagari १३१३५२ Bengali ১৩১৩৫২ Tamil ௧௩௧௩௫௨ Thai ๑๓๑๓๕๒ Tibetan ༡༣༡༣༥༢ Khmer ១៣១៣៥២ Lao ໑໓໑໓໕໒ Burmese ၁၃၁၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131352, here are decompositions:

  • 31 + 131321 = 131352
  • 41 + 131311 = 131352
  • 59 + 131293 = 131352
  • 101 + 131251 = 131352
  • 103 + 131249 = 131352
  • 131 + 131221 = 131352
  • 139 + 131213 = 131352
  • 149 + 131203 = 131352

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄘
CJK Unified Ideograph-20118
U+20118
Other letter (Lo)

UTF-8 encoding: F0 A0 84 98 (4 bytes).

Hex color
#020118
RGB(2, 1, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.24.

Address
0.2.1.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.24

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 131,352 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 131352 first appears in π at position 70,677 of the decimal expansion (the 70,677ordinal-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°.