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131,370

131,370 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.).

131,370 (one hundred thirty-one thousand three hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 29 × 151. Its proper divisors sum to 196,950, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2012A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
73,131
Square (n²)
17,258,076,900
Cube (n³)
2,267,193,562,353,000
Divisor count
32
σ(n) — sum of divisors
328,320
φ(n) — Euler's totient
33,600
Sum of prime factors
190

Primality

Prime factorization: 2 × 3 × 5 × 29 × 151

Nearest primes: 131,363 (−7) · 131,371 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 29 · 30 · 58 · 87 · 145 · 151 · 174 · 290 · 302 · 435 · 453 · 755 · 870 · 906 · 1510 · 2265 · 4379 · 4530 · 8758 · 13137 · 21895 · 26274 · 43790 · 65685 (half) · 131370
Aliquot sum (sum of proper divisors): 196,950
Factor pairs (a × b = 131,370)
1 × 131370
2 × 65685
3 × 43790
5 × 26274
6 × 21895
10 × 13137
15 × 8758
29 × 4530
30 × 4379
58 × 2265
87 × 1510
145 × 906
151 × 870
174 × 755
290 × 453
302 × 435
First multiples
131,370 · 262,740 (double) · 394,110 · 525,480 · 656,850 · 788,220 · 919,590 · 1,050,960 · 1,182,330 · 1,313,700

Sums & aliquot sequence

As consecutive integers: 43,789 + 43,790 + 43,791 32,841 + 32,842 + 32,843 + 32,844 26,272 + 26,273 + 26,274 + 26,275 + 26,276 10,942 + 10,943 + … + 10,953
Aliquot sequence: 131,370 196,950 334,266 334,278 510,462 691,794 915,246 1,240,434 2,012,046 2,012,058 2,347,440 4,930,368 8,115,072 16,528,128 27,462,840 55,602,120 140,295,480 — unresolved within range

Continued fraction of √n

√131,370 = [362; (2, 4, 2, 724)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred seventy
Ordinal
131370th
Binary
100000000100101010
Octal
400452
Hexadecimal
0x2012A
Base64
AgEq
One's complement
4,294,835,925 (32-bit)
Scientific notation
1.3137 × 10⁵
As a duration
131,370 s = 1 day, 12 hours, 29 minutes, 30 seconds
In other bases
ternary (3) 20200012120
quaternary (4) 200010222
quinary (5) 13200440
senary (6) 2452110
septenary (7) 1055001
nonary (9) 220176
undecimal (11) 8a778
duodecimal (12) 64036
tridecimal (13) 47a45
tetradecimal (14) 35c38
pentadecimal (15) 28dd0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλατοʹ
Mayan (base 20)
𝋰·𝋨·𝋨·𝋪
Chinese
一十三萬一千三百七十
Chinese (financial)
壹拾參萬壹仟參佰柒拾
In other modern scripts
Eastern Arabic ١٣١٣٧٠ Devanagari १३१३७० Bengali ১৩১৩৭০ Tamil ௧௩௧௩௭௦ Thai ๑๓๑๓๗๐ Tibetan ༡༣༡༣༧༠ Khmer ១៣១៣៧០ Lao ໑໓໑໓໗໐ Burmese ၁၃၁၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131370, here are decompositions:

  • 7 + 131363 = 131370
  • 13 + 131357 = 131370
  • 53 + 131317 = 131370
  • 59 + 131311 = 131370
  • 67 + 131303 = 131370
  • 73 + 131297 = 131370
  • 103 + 131267 = 131370
  • 139 + 131231 = 131370

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄪
CJK Unified Ideograph-2012A
U+2012A
Other letter (Lo)

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

Hex color
#02012A
RGB(2, 1, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.42.

Address
0.2.1.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.42

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 131,370 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.