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131,221

131,221 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 Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
122,131
Square (n²)
17,218,950,841
Cube (n³)
2,259,487,948,306,861
Divisor count
2
σ(n) — sum of divisors
131,222
φ(n) — Euler's totient
131,220

Primality

131,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,221)
1 × 131221
First multiples
131,221 · 262,442 (double) · 393,663 · 524,884 · 656,105 · 787,326 · 918,547 · 1,049,768 · 1,180,989 · 1,312,210

Sums & aliquot sequence

As a sum of two squares: 30² + 361²
As consecutive integers: 65,610 + 65,611

Continued fraction of √n

√131,221 = [362; (4, 10, 1, 8, 1, 1, 1, 1, 1, 4, 48, 12, 18, 2, 37, 1, 1, 1, 4, 3, 180, 1, 4, 3, …)]

Representations

In words
one hundred thirty-one thousand two hundred twenty-one
Ordinal
131221st
Binary
100000000010010101
Octal
400225
Hexadecimal
0x20095
Base64
AgCV
One's complement
4,294,836,074 (32-bit)
Scientific notation
1.31221 × 10⁵
As a duration
131,221 s = 1 day, 12 hours, 27 minutes, 1 second
In other bases
ternary (3) 20200000001
quaternary (4) 200002111
quinary (5) 13144341
senary (6) 2451301
septenary (7) 1054366
nonary (9) 220001
undecimal (11) 8a652
duodecimal (12) 63b31
tridecimal (13) 4795c
tetradecimal (14) 35b6d
pentadecimal (15) 28d31

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλασκαʹ
Mayan (base 20)
𝋰·𝋨·𝋡·𝋡
Chinese
一十三萬一千二百二十一
Chinese (financial)
壹拾參萬壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٣١٢٢١ Devanagari १३१२२१ Bengali ১৩১২২১ Tamil ௧௩௧௨௨௧ Thai ๑๓๑๒๒๑ Tibetan ༡༣༡༢༢༡ Khmer ១៣១២២១ Lao ໑໓໑໒໒໑ Burmese ၁၃၁၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠂕
CJK Unified Ideograph-20095
U+20095
Other letter (Lo)

UTF-8 encoding: F0 A0 82 95 (4 bytes).

Hex color
#020095
RGB(2, 0, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.149.

Address
0.2.0.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.149

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 131,221 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 131221 first appears in π at position 653,435 of the decimal expansion (the 653,435ordinal-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.