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131,251

131,251 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 Evil Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
152,131
Square (n²)
17,226,825,001
Cube (n³)
2,261,038,008,206,251
Divisor count
2
σ(n) — sum of divisors
131,252
φ(n) — Euler's totient
131,250

Primality

131,251 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131251
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,251)
1 × 131251
First multiples
131,251 · 262,502 (double) · 393,753 · 525,004 · 656,255 · 787,506 · 918,757 · 1,050,008 · 1,181,259 · 1,312,510

Sums & aliquot sequence

As consecutive integers: 65,625 + 65,626

Continued fraction of √n

√131,251 = [362; (3, 2, 241, 10, 2, 80, 31, 2, 26, 2, 1, 9, 1, 4, 1, 8, 8, 1, 2, 1, 1, 1, 1, 3, …)]

Representations

In words
one hundred thirty-one thousand two hundred fifty-one
Ordinal
131251st
Binary
100000000010110011
Octal
400263
Hexadecimal
0x200B3
Base64
AgCz
One's complement
4,294,836,044 (32-bit)
Scientific notation
1.31251 × 10⁵
As a duration
131,251 s = 1 day, 12 hours, 27 minutes, 31 seconds
In other bases
ternary (3) 20200001011
quaternary (4) 200002303
quinary (5) 13200001
senary (6) 2451351
septenary (7) 1054441
nonary (9) 220034
undecimal (11) 8a67a
duodecimal (12) 63b57
tridecimal (13) 47983
tetradecimal (14) 35b91
pentadecimal (15) 28d51

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλασναʹ
Mayan (base 20)
𝋰·𝋨·𝋢·𝋫
Chinese
一十三萬一千二百五十一
Chinese (financial)
壹拾參萬壹仟貳佰伍拾壹
In other modern scripts
Eastern Arabic ١٣١٢٥١ Devanagari १३१२५१ Bengali ১৩১২৫১ Tamil ௧௩௧௨௫௧ Thai ๑๓๑๒๕๑ Tibetan ༡༣༡༢༥༡ Khmer ១៣១២៥១ Lao ໑໓໑໒໕໑ Burmese ၁၃၁၂၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131249.

Unicode codepoint
𠂳
CJK Unified Ideograph-200B3
U+200B3
Other letter (Lo)

UTF-8 encoding: F0 A0 82 B3 (4 bytes).

Hex color
#0200B3
RGB(2, 0, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.179.

Address
0.2.0.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.179

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 131,251 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.