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135,431

135,431 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.).

135,431 (one hundred thirty-five thousand four 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, 0x21107.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
134,531
Square (n²)
18,341,555,761
Cube (n³)
2,484,015,238,267,991
Divisor count
2
σ(n) — sum of divisors
135,432
φ(n) — Euler's totient
135,430

Primality

135,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,431)
1 × 135431
First multiples
135,431 · 270,862 (double) · 406,293 · 541,724 · 677,155 · 812,586 · 948,017 · 1,083,448 · 1,218,879 · 1,354,310

Sums & aliquot sequence

As consecutive integers: 67,715 + 67,716

Continued fraction of √n

√135,431 = [368; (105, 6, 1, 14, 6, 8, 2, 42, 1, 4, 1, 2, 5, 1, 4, 1, 20, 4, 1, 146, 2, 2, 20, 1, …)]

Representations

In words
one hundred thirty-five thousand four hundred thirty-one
Ordinal
135431st
Binary
100001000100000111
Octal
410407
Hexadecimal
0x21107
Base64
AhEH
One's complement
4,294,831,864 (32-bit)
Scientific notation
1.35431 × 10⁵
As a duration
135,431 s = 1 day, 13 hours, 37 minutes, 11 seconds
In other bases
ternary (3) 20212202222
quaternary (4) 201010013
quinary (5) 13313211
senary (6) 2522555
septenary (7) 1102562
nonary (9) 225688
undecimal (11) 9282a
duodecimal (12) 6645b
tridecimal (13) 4984a
tetradecimal (14) 374d9
pentadecimal (15) 2a1db

As an angle

135,431° = 376 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλευλαʹ
Mayan (base 20)
𝋰·𝋲·𝋫·𝋫
Chinese
一十三萬五千四百三十一
Chinese (financial)
壹拾參萬伍仟肆佰參拾壹
In other modern scripts
Eastern Arabic ١٣٥٤٣١ Devanagari १३५४३१ Bengali ১৩৫৪৩১ Tamil ௧௩௫௪௩௧ Thai ๑๓๕๔๓๑ Tibetan ༡༣༥༤༣༡ Khmer ១៣៥៤៣១ Lao ໑໓໕໔໓໑ Burmese ၁၃၅၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135433, cousin with 135427.

Unicode codepoint
𡄇
CJK Unified Ideograph-21107
U+21107
Other letter (Lo)

UTF-8 encoding: F0 A1 84 87 (4 bytes).

Hex color
#021107
RGB(2, 17, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.7.

Address
0.2.17.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.7

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 135,431 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 135431 first appears in π at position 198,605 of the decimal expansion (the 198,605ordinal-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.