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Live analysis

131,101

131,101 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 Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
101,131
Square (n²)
17,187,472,201
Cube (n³)
2,253,294,793,023,301
Divisor count
2
σ(n) — sum of divisors
131,102
φ(n) — Euler's totient
131,100

Primality

131,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,101)
1 × 131101
First multiples
131,101 · 262,202 (double) · 393,303 · 524,404 · 655,505 · 786,606 · 917,707 · 1,048,808 · 1,179,909 · 1,311,010

Sums & aliquot sequence

As a sum of two squares: 149² + 330²
As consecutive integers: 65,550 + 65,551

Continued fraction of √n

√131,101 = [362; (12, 1, 2, 2, 1, 2, 2, 22, 1, 15, 7, 2, 2, 13, 1, 1, 11, 1, 1, 4, 2, 1, 2, 5, …)]

Representations

In words
one hundred thirty-one thousand one hundred one
Ordinal
131101st
Binary
100000000000011101
Octal
400035
Hexadecimal
0x2001D
Base64
AgAd
One's complement
4,294,836,194 (32-bit)
Scientific notation
1.31101 × 10⁵
As a duration
131,101 s = 1 day, 12 hours, 25 minutes, 1 second
In other bases
ternary (3) 20122211121
quaternary (4) 200000131
quinary (5) 13143401
senary (6) 2450541
septenary (7) 1054135
nonary (9) 218747
undecimal (11) 8a553
duodecimal (12) 63a51
tridecimal (13) 47899
tetradecimal (14) 35ac5
pentadecimal (15) 28ca1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓏺
Greek (Milesian)
͵ρλαραʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋡
Chinese
一十三萬一千一百零一
Chinese (financial)
壹拾參萬壹仟壹佰零壹
In other modern scripts
Eastern Arabic ١٣١١٠١ Devanagari १३११०१ Bengali ১৩১১০১ Tamil ௧௩௧௧௦௧ Thai ๑๓๑๑๐๑ Tibetan ༡༣༡༡༠༡ Khmer ១៣១១០១ Lao ໑໓໑໑໐໑ Burmese ၁၃၁၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠀝
CJK Unified Ideograph-2001D
U+2001D
Other letter (Lo)

UTF-8 encoding: F0 A0 80 9D (4 bytes).

Hex color
#02001D
RGB(2, 0, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.29.

Address
0.2.0.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.29

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 131,101 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 131101 first appears in π at position 651,295 of the decimal expansion (the 651,295ordinal-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.