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131,152

131,152 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 Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
251,131
Square (n²)
17,200,847,104
Cube (n³)
2,255,925,499,383,808
Divisor count
20
σ(n) — sum of divisors
290,656
φ(n) — Euler's totient
56,160
Sum of prime factors
1,186

Primality

Prime factorization: 2 4 × 7 × 1171

Nearest primes: 131,149 (−3) · 131,171 (+19)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1171 · 2342 · 4684 · 8197 · 9368 · 16394 · 18736 · 32788 · 65576 (half) · 131152
Aliquot sum (sum of proper divisors): 159,504
Factor pairs (a × b = 131,152)
1 × 131152
2 × 65576
4 × 32788
7 × 18736
8 × 16394
14 × 9368
16 × 8197
28 × 4684
56 × 2342
112 × 1171
First multiples
131,152 · 262,304 (double) · 393,456 · 524,608 · 655,760 · 786,912 · 918,064 · 1,049,216 · 1,180,368 · 1,311,520

Sums & aliquot sequence

As consecutive integers: 18,733 + 18,734 + … + 18,739 4,083 + 4,084 + … + 4,114 474 + 475 + … + 697
Aliquot sequence: 131,152 159,504 252,672 532,224 1,430,016 3,234,864 5,564,176 5,395,068 10,446,212 11,004,028 12,380,564 13,693,036 14,145,460 21,529,676 21,629,524 24,447,276 47,444,544 — unresolved within range

Continued fraction of √n

√131,152 = [362; (6, 1, 2, 2, 1, 1, 3, 1, 2, 1, 102, 1, 2, 1, 3, 1, 1, 2, 2, 1, 6, 724)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred fifty-two
Ordinal
131152nd
Binary
100000000001010000
Octal
400120
Hexadecimal
0x20050
Base64
AgBQ
One's complement
4,294,836,143 (32-bit)
Scientific notation
1.31152 × 10⁵
As a duration
131,152 s = 1 day, 12 hours, 25 minutes, 52 seconds
In other bases
ternary (3) 20122220111
quaternary (4) 200001100
quinary (5) 13144102
senary (6) 2451104
septenary (7) 1054240
nonary (9) 218814
undecimal (11) 8a59a
duodecimal (12) 63a94
tridecimal (13) 47908
tetradecimal (14) 35b20
pentadecimal (15) 28cd7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαρνβʹ
Mayan (base 20)
𝋰·𝋧·𝋱·𝋬
Chinese
一十三萬一千一百五十二
Chinese (financial)
壹拾參萬壹仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١١٥٢ Devanagari १३११५२ Bengali ১৩১১৫২ Tamil ௧௩௧௧௫௨ Thai ๑๓๑๑๕๒ Tibetan ༡༣༡༡༥༢ Khmer ១៣១១៥២ Lao ໑໓໑໑໕໒ Burmese ၁၃၁၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131152, here are decompositions:

  • 3 + 131149 = 131152
  • 23 + 131129 = 131152
  • 41 + 131111 = 131152
  • 89 + 131063 = 131152
  • 179 + 130973 = 131152
  • 293 + 130859 = 131152
  • 311 + 130841 = 131152
  • 383 + 130769 = 131152

Showing the first eight; more decompositions exist.

Unicode codepoint
𠁐
CJK Unified Ideograph-20050
U+20050
Other letter (Lo)

UTF-8 encoding: F0 A0 81 90 (4 bytes).

Hex color
#020050
RGB(2, 0, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.80.

Address
0.2.0.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.80

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 131,152 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.