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131,355

131,355 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.).

131,355 (one hundred thirty-one thousand three hundred fifty-five) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3³ × 5 × 7 × 139. Its proper divisors sum to 137,445, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2011B.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
225
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
553,131
Square (n²)
17,254,136,025
Cube (n³)
2,266,417,037,563,875
Divisor count
32
σ(n) — sum of divisors
268,800
φ(n) — Euler's totient
59,616
Sum of prime factors
160

Primality

Prime factorization: 3 3 × 5 × 7 × 139

Nearest primes: 131,321 (−34) · 131,357 (+2)

Divisors & multiples

All divisors (32)
1 · 3 · 5 · 7 · 9 · 15 · 21 · 27 · 35 · 45 · 63 · 105 · 135 · 139 · 189 · 315 · 417 · 695 · 945 · 973 · 1251 · 2085 · 2919 · 3753 · 4865 · 6255 · 8757 · 14595 · 18765 · 26271 · 43785 · 131355
Aliquot sum (sum of proper divisors): 137,445
Factor pairs (a × b = 131,355)
1 × 131355
3 × 43785
5 × 26271
7 × 18765
9 × 14595
15 × 8757
21 × 6255
27 × 4865
35 × 3753
45 × 2919
63 × 2085
105 × 1251
135 × 973
139 × 945
189 × 695
315 × 417
First multiples
131,355 · 262,710 (double) · 394,065 · 525,420 · 656,775 · 788,130 · 919,485 · 1,050,840 · 1,182,195 · 1,313,550

Sums & aliquot sequence

As consecutive integers: 65,677 + 65,678 43,784 + 43,785 + 43,786 26,269 + 26,270 + 26,271 + 26,272 + 26,273 21,890 + 21,891 + 21,892 + 21,893 + 21,894 + 21,895
Aliquot sequence: 131,355 137,445 158,043 54,757 3,239 121 12 16 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√131,355 = [362; (2, 3, 27, 1, 1, 2, 5, 1, 2, 3, 1, 14, 1, 79, 1, 1, 1, 1, 11, 1, 2, 5, 1, 1, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred fifty-five
Ordinal
131355th
Binary
100000000100011011
Octal
400433
Hexadecimal
0x2011B
Base64
AgEb
One's complement
4,294,835,940 (32-bit)
Scientific notation
1.31355 × 10⁵
As a duration
131,355 s = 1 day, 12 hours, 29 minutes, 15 seconds
In other bases
ternary (3) 20200012000
quaternary (4) 200010123
quinary (5) 13200410
senary (6) 2452043
septenary (7) 1054650
nonary (9) 220160
undecimal (11) 8a764
duodecimal (12) 64023
tridecimal (13) 47a33
tetradecimal (14) 35c27
pentadecimal (15) 28dc0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατνεʹ
Mayan (base 20)
𝋰·𝋨·𝋧·𝋯
Chinese
一十三萬一千三百五十五
Chinese (financial)
壹拾參萬壹仟參佰伍拾伍
In other modern scripts
Eastern Arabic ١٣١٣٥٥ Devanagari १३१३५५ Bengali ১৩১৩৫৫ Tamil ௧௩௧௩௫௫ Thai ๑๓๑๓๕๕ Tibetan ༡༣༡༣༥༥ Khmer ១៣១៣៥៥ Lao ໑໓໑໓໕໕ Burmese ၁၃၁၃၅၅

Also seen as

Unicode codepoint
𠄛
CJK Unified Ideograph-2011B
U+2011B
Other letter (Lo)

UTF-8 encoding: F0 A0 84 9B (4 bytes).

Hex color
#02011B
RGB(2, 1, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.27.

Address
0.2.1.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.27

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 131,355 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 131355 first appears in π at position 655,675 of the decimal expansion (the 655,675ordinal-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

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