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131,700

131,700 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.).

131,700 (one hundred thirty-one thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 439. Its proper divisors sum to 250,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20274.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
7,131
Recamán's sequence
a(228,972) = 131,700
Square (n²)
17,344,890,000
Cube (n³)
2,284,322,013,000,000
Divisor count
36
σ(n) — sum of divisors
381,920
φ(n) — Euler's totient
35,040
Sum of prime factors
456

Primality

Prime factorization: 2 2 × 3 × 5 2 × 439

Nearest primes: 131,687 (−13) · 131,701 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 439 · 878 · 1317 · 1756 · 2195 · 2634 · 4390 · 5268 · 6585 · 8780 · 10975 · 13170 · 21950 · 26340 · 32925 · 43900 · 65850 (half) · 131700
Aliquot sum (sum of proper divisors): 250,220
Factor pairs (a × b = 131,700)
1 × 131700
2 × 65850
3 × 43900
4 × 32925
5 × 26340
6 × 21950
10 × 13170
12 × 10975
15 × 8780
20 × 6585
25 × 5268
30 × 4390
50 × 2634
60 × 2195
75 × 1756
100 × 1317
150 × 878
300 × 439
First multiples
131,700 · 263,400 (double) · 395,100 · 526,800 · 658,500 · 790,200 · 921,900 · 1,053,600 · 1,185,300 · 1,317,000

Sums & aliquot sequence

As consecutive integers: 43,899 + 43,900 + 43,901 26,338 + 26,339 + 26,340 + 26,341 + 26,342 16,459 + 16,460 + … + 16,466 8,773 + 8,774 + … + 8,787
Aliquot sequence: 131,700 250,220 275,284 206,470 199,178 151,606 150,794 107,734 73,706 38,074 19,040 35,392 45,888 76,032 169,248 296,448 497,400 — unresolved within range

Continued fraction of √n

√131,700 = [362; (1, 9, 1, 1, 11, 1, 3, 1, 1, 44, 1, 4, 5, 1, 8, 1, 5, 4, 1, 44, 1, 1, 3, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred
Ordinal
131700th
Binary
100000001001110100
Octal
401164
Hexadecimal
0x20274
Base64
AgJ0
One's complement
4,294,835,595 (32-bit)
Scientific notation
1.317 × 10⁵
As a duration
131,700 s = 1 day, 12 hours, 35 minutes
In other bases
ternary (3) 20200122210
quaternary (4) 200021310
quinary (5) 13203300
senary (6) 2453420
septenary (7) 1055652
nonary (9) 220583
undecimal (11) 8aa48
duodecimal (12) 64270
tridecimal (13) 47c3a
tetradecimal (14) 35dd2
pentadecimal (15) 29050

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλαψʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋠
Chinese
一十三萬一千七百
Chinese (financial)
壹拾參萬壹仟柒佰
In other modern scripts
Eastern Arabic ١٣١٧٠٠ Devanagari १३१७०० Bengali ১৩১৭০০ Tamil ௧௩௧௭௦௦ Thai ๑๓๑๗๐๐ Tibetan ༡༣༡༧༠༠ Khmer ១៣១៧០០ Lao ໑໓໑໗໐໐ Burmese ၁၃၁၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131700, here are decompositions:

  • 13 + 131687 = 131700
  • 29 + 131671 = 131700
  • 59 + 131641 = 131700
  • 61 + 131639 = 131700
  • 73 + 131627 = 131700
  • 83 + 131617 = 131700
  • 89 + 131611 = 131700
  • 109 + 131591 = 131700

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉴
CJK Unified Ideograph-20274
U+20274
Other letter (Lo)

UTF-8 encoding: F0 A0 89 B4 (4 bytes).

Hex color
#020274
RGB(2, 2, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.116.

Address
0.2.2.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.116

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 131,700 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 131700 first appears in π at position 498,801 of the decimal expansion (the 498,801ordinal-suffix:st 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°.