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135,131

135,131 is a prime, 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.).

135,131 (one hundred thirty-five thousand one hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20FDB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
45
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
131,531
Square (n²)
18,260,387,161
Cube (n³)
2,467,544,377,453,091
Divisor count
2
σ(n) — sum of divisors
135,132
φ(n) — Euler's totient
135,130

Primality

135,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,131)
1 × 135131
First multiples
135,131 · 270,262 (double) · 405,393 · 540,524 · 675,655 · 810,786 · 945,917 · 1,081,048 · 1,216,179 · 1,351,310

Sums & aliquot sequence

As consecutive integers: 67,565 + 67,566

Continued fraction of √n

√135,131 = [367; (1, 1, 1, 1, 23, 8, 1, 1, 1, 1, 5, 19, 1, 2, 4, 15, 1, 3, 28, 43, 4, 1, 2, 1, …)]

Representations

In words
one hundred thirty-five thousand one hundred thirty-one
Ordinal
135131st
Binary
100000111111011011
Octal
407733
Hexadecimal
0x20FDB
Base64
Ag/b
One's complement
4,294,832,164 (32-bit)
Scientific notation
1.35131 × 10⁵
As a duration
135,131 s = 1 day, 13 hours, 32 minutes, 11 seconds
In other bases
ternary (3) 20212100212
quaternary (4) 200333123
quinary (5) 13311011
senary (6) 2521335
septenary (7) 1101653
nonary (9) 225325
undecimal (11) 92587
duodecimal (12) 6624b
tridecimal (13) 49679
tetradecimal (14) 37363
pentadecimal (15) 2a08b

As an angle

135,131° = 375 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλερλαʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋫
Chinese
一十三萬五千一百三十一
Chinese (financial)
壹拾參萬伍仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١٣٥١٣١ Devanagari १३५१३१ Bengali ১৩৫১৩১ Tamil ௧௩௫௧௩௧ Thai ๑๓๕๑๓๑ Tibetan ༡༣༥༡༣༡ Khmer ១៣៥១៣១ Lao ໑໓໕໑໓໑ Burmese ၁၃၅၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠿛
CJK Unified Ideograph-20Fdb
U+20FDB
Other letter (Lo)

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

Hex color
#020FDB
RGB(2, 15, 219)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.219.

Address
0.2.15.219
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.219

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 135,131 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 135131 first appears in π at position 173,237 of the decimal expansion (the 173,237ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.