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131,521

131,521 is a composite number, odd.

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.).

131,521 (one hundred thirty-one thousand five hundred twenty-one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 67 × 151. Written other ways, in hexadecimal, 0x201C1.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
125,131
Recamán's sequence
a(229,330) = 131,521
Square (n²)
17,297,773,441
Cube (n³)
2,275,020,460,733,761
Divisor count
8
σ(n) — sum of divisors
144,704
φ(n) — Euler's totient
118,800
Sum of prime factors
231

Primality

Prime factorization: 13 × 67 × 151

Nearest primes: 131,519 (−2) · 131,543 (+22)

Divisors & multiples

All divisors (8)
1 · 13 · 67 · 151 · 871 · 1963 · 10117 · 131521
Aliquot sum (sum of proper divisors): 13,183
Factor pairs (a × b = 131,521)
1 × 131521
13 × 10117
67 × 1963
151 × 871
First multiples
131,521 · 263,042 (double) · 394,563 · 526,084 · 657,605 · 789,126 · 920,647 · 1,052,168 · 1,183,689 · 1,315,210

Sums & aliquot sequence

As consecutive integers: 65,760 + 65,761 10,111 + 10,112 + … + 10,123 5,046 + 5,047 + … + 5,071 1,930 + 1,931 + … + 1,996
Aliquot sequence: 131,521 13,183 1 0 — terminates at zero

Continued fraction of √n

√131,521 = [362; (1, 1, 1, 12, 1, 1, 11, 2, 1, 2, 4, 45, 9, 1, 1, 1, 5, 1, 1, 5, 5, 1, 6, 2, …)]

Representations

In words
one hundred thirty-one thousand five hundred twenty-one
Ordinal
131521st
Binary
100000000111000001
Octal
400701
Hexadecimal
0x201C1
Base64
AgHB
One's complement
4,294,835,774 (32-bit)
Scientific notation
1.31521 × 10⁵
As a duration
131,521 s = 1 day, 12 hours, 32 minutes, 1 second
In other bases
ternary (3) 20200102011
quaternary (4) 200013001
quinary (5) 13202041
senary (6) 2452521
septenary (7) 1055305
nonary (9) 220364
undecimal (11) 8a8a5
duodecimal (12) 64141
tridecimal (13) 47b30
tetradecimal (14) 35d05
pentadecimal (15) 28e81

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλαφκαʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋡
Chinese
一十三萬一千五百二十一
Chinese (financial)
壹拾參萬壹仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٣١٥٢١ Devanagari १३१५२१ Bengali ১৩১৫২১ Tamil ௧௩௧௫௨௧ Thai ๑๓๑๕๒๑ Tibetan ༡༣༡༥༢༡ Khmer ១៣១៥២១ Lao ໑໓໑໕໒໑ Burmese ၁၃၁၅၂၁

Also seen as

Unicode codepoint
𠇁
CJK Unified Ideograph-201C1
U+201C1
Other letter (Lo)

UTF-8 encoding: F0 A0 87 81 (4 bytes).

Hex color
#0201C1
RGB(2, 1, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.193.

Address
0.2.1.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.193

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 131,521 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 131521 first appears in π at position 435,274 of the decimal expansion (the 435,274ordinal-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