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131,023

131,023 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.).
Arithmetic Number Cube-Free Deficient Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
320,131
Square (n²)
17,167,026,529
Cube (n³)
2,249,275,316,909,167
Divisor count
2
σ(n) — sum of divisors
131,024
φ(n) — Euler's totient
131,022

Primality

131,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131023
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,023)
1 × 131023
First multiples
131,023 · 262,046 (double) · 393,069 · 524,092 · 655,115 · 786,138 · 917,161 · 1,048,184 · 1,179,207 · 1,310,230

Sums & aliquot sequence

As consecutive integers: 65,511 + 65,512

Continued fraction of √n

√131,023 = [361; (1, 33, 2, 9, 2, 2, 1, 4, 51, 2, 120, 6, 5, 1, 1, 2, 1, 1, 1, 14, 7, 34, 3, 80, …)]

Representations

In words
one hundred thirty-one thousand twenty-three
Ordinal
131023rd
Binary
11111111111001111
Octal
377717
Hexadecimal
0x1FFCF
Base64
Af/P
One's complement
4,294,836,272 (32-bit)
Scientific notation
1.31023 × 10⁵
As a duration
131,023 s = 1 day, 12 hours, 23 minutes, 43 seconds
In other bases
ternary (3) 20122201201
quaternary (4) 133333033
quinary (5) 13143043
senary (6) 2450331
septenary (7) 1053664
nonary (9) 218651
undecimal (11) 8a492
duodecimal (12) 639a7
tridecimal (13) 47839
tetradecimal (14) 35a6b
pentadecimal (15) 28c4d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλακγʹ
Mayan (base 20)
𝋰·𝋧·𝋫·𝋣
Chinese
一十三萬一千零二十三
Chinese (financial)
壹拾參萬壹仟零貳拾參
In other modern scripts
Eastern Arabic ١٣١٠٢٣ Devanagari १३१०२३ Bengali ১৩১০২৩ Tamil ௧௩௧௦௨௩ Thai ๑๓๑๐๒๓ Tibetan ༡༣༡༠༢༣ Khmer ១៣១០២៣ Lao ໑໓໑໐໒໓ Burmese ၁၃၁၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01FFCF
RGB(1, 255, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.207.

Address
0.1.255.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.207

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 131,023 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 131023 first appears in π at position 173,991 of the decimal expansion (the 173,991ordinal-suffix:st 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.