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131,120

131,120 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
21,131
Square (n²)
17,192,454,400
Cube (n³)
2,254,274,620,928,000
Divisor count
40
σ(n) — sum of divisors
334,800
φ(n) — Euler's totient
47,360
Sum of prime factors
173

Primality

Prime factorization: 2 4 × 5 × 11 × 149

Nearest primes: 131,113 (−7) · 131,129 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 149 · 176 · 220 · 298 · 440 · 596 · 745 · 880 · 1192 · 1490 · 1639 · 2384 · 2980 · 3278 · 5960 · 6556 · 8195 · 11920 · 13112 · 16390 · 26224 · 32780 · 65560 (half) · 131120
Aliquot sum (sum of proper divisors): 203,680
Factor pairs (a × b = 131,120)
1 × 131120
2 × 65560
4 × 32780
5 × 26224
8 × 16390
10 × 13112
11 × 11920
16 × 8195
20 × 6556
22 × 5960
40 × 3278
44 × 2980
55 × 2384
80 × 1639
88 × 1490
110 × 1192
149 × 880
176 × 745
220 × 596
298 × 440
First multiples
131,120 · 262,240 (double) · 393,360 · 524,480 · 655,600 · 786,720 · 917,840 · 1,048,960 · 1,180,080 · 1,311,200

Sums & aliquot sequence

As consecutive integers: 26,222 + 26,223 + 26,224 + 26,225 + 26,226 11,915 + 11,916 + … + 11,925 4,082 + 4,083 + … + 4,113 2,357 + 2,358 + … + 2,411
Aliquot sequence: 131,120 203,680 310,400 464,290 400,790 376,378 188,192 182,374 95,474 47,740 81,284 81,340 119,756 148,372 154,070 177,706 88,856 — unresolved within range

Continued fraction of √n

√131,120 = [362; (9, 1, 1, 8, 1, 1, 9, 724)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand one hundred twenty
Ordinal
131120th
Binary
100000000000110000
Octal
400060
Hexadecimal
0x20030
Base64
AgAw
One's complement
4,294,836,175 (32-bit)
Scientific notation
1.3112 × 10⁵
As a duration
131,120 s = 1 day, 12 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 20122212022
quaternary (4) 200000300
quinary (5) 13143440
senary (6) 2451012
septenary (7) 1054163
nonary (9) 218768
undecimal (11) 8a570
duodecimal (12) 63a68
tridecimal (13) 478b2
tetradecimal (14) 35ada
pentadecimal (15) 28cb5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρλαρκʹ
Mayan (base 20)
𝋰·𝋧·𝋰·𝋠
Chinese
一十三萬一千一百二十
Chinese (financial)
壹拾參萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٣١١٢٠ Devanagari १३११२० Bengali ১৩১১২০ Tamil ௧௩௧௧௨௦ Thai ๑๓๑๑๒๐ Tibetan ༡༣༡༡༢༠ Khmer ១៣១១២០ Lao ໑໓໑໑໒໐ Burmese ၁၃၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131120, here are decompositions:

  • 7 + 131113 = 131120
  • 19 + 131101 = 131120
  • 61 + 131059 = 131120
  • 79 + 131041 = 131120
  • 97 + 131023 = 131120
  • 109 + 131011 = 131120
  • 139 + 130981 = 131120
  • 151 + 130969 = 131120

Showing the first eight; more decompositions exist.

Unicode codepoint
𠀰
CJK Unified Ideograph-20030
U+20030
Other letter (Lo)

UTF-8 encoding: F0 A0 80 B0 (4 bytes).

Hex color
#020030
RGB(2, 0, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.48.

Address
0.2.0.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.48

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 131,120 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 131120 first appears in π at position 301,386 of the decimal expansion (the 301,386ordinal-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.