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164,113

164,113 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.).

164,113 (one hundred sixty-four thousand one hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
311,461
Recamán's sequence
a(196,986) = 164,113
Square (n²)
26,933,076,769
Cube (n³)
4,420,068,027,790,897
Divisor count
2
σ(n) — sum of divisors
164,114
φ(n) — Euler's totient
164,112

Primality

164,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,113)
1 × 164113
First multiples
164,113 · 328,226 (double) · 492,339 · 656,452 · 820,565 · 984,678 · 1,148,791 · 1,312,904 · 1,477,017 · 1,641,130

Sums & aliquot sequence

As a sum of two squares: 132² + 383²
As consecutive integers: 82,056 + 82,057

Continued fraction of √n

√164,113 = [405; (9, 4, 1, 6, 8, 3, 2, 2, 2, 4, 1, 2, 1, 14, 1, 1, 4, 1, 1, 2, 1, 1, 1, 7, …)]

Representations

In words
one hundred sixty-four thousand one hundred thirteen
Ordinal
164113th
Binary
101000000100010001
Octal
500421
Hexadecimal
0x28111
Base64
AoER
One's complement
4,294,803,182 (32-bit)
Scientific notation
1.64113 × 10⁵
As a duration
164,113 s = 1 day, 21 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 22100010021
quaternary (4) 220010101
quinary (5) 20222423
senary (6) 3303441
septenary (7) 1252315
nonary (9) 270107
undecimal (11) 102334
duodecimal (12) 7ab81
tridecimal (13) 59911
tetradecimal (14) 43b45
pentadecimal (15) 3395d

As an angle

164,113° = 455 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξδριγʹ
Chinese
一十六萬四千一百一十三
Chinese (financial)
壹拾陸萬肆仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٦٤١١٣ Devanagari १६४११३ Bengali ১৬৪১১৩ Tamil ௧௬௪௧௧௩ Thai ๑๖๔๑๑๓ Tibetan ༡༦༤༡༡༣ Khmer ១៦៤១១៣ Lao ໑໖໔໑໑໓ Burmese ၁၆၄၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 164117.

Unicode codepoint
𨄑
CJK Unified Ideograph-28111
U+28111
Other letter (Lo)

UTF-8 encoding: F0 A8 84 91 (4 bytes).

Hex color
#028111
RGB(2, 129, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.17.

Address
0.2.129.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.129.17

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 164,113 and was likely granted around 1874.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.