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113,149

113,149 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.).

113,149 (one hundred thirteen thousand one hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B9FD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
108
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
941,311
Recamán's sequence
a(246,278) = 113,149
Square (n²)
12,802,696,201
Cube (n³)
1,448,612,272,446,949
Divisor count
2
σ(n) — sum of divisors
113,150
φ(n) — Euler's totient
113,148

Primality

113,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113149
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,149)
1 × 113149
First multiples
113,149 · 226,298 (double) · 339,447 · 452,596 · 565,745 · 678,894 · 792,043 · 905,192 · 1,018,341 · 1,131,490

Sums & aliquot sequence

As a sum of two squares: 118² + 315²
As consecutive integers: 56,574 + 56,575

Continued fraction of √n

√113,149 = [336; (2, 1, 1, 1, 11, 1, 1, 1, 1, 5, 4, 18, 1, 55, 8, 1, 2, 1, 1, 3, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand one hundred forty-nine
Ordinal
113149th
Binary
11011100111111101
Octal
334775
Hexadecimal
0x1B9FD
Base64
Abn9
One's complement
4,294,854,146 (32-bit)
Scientific notation
1.13149 × 10⁵
As a duration
113,149 s = 1 day, 7 hours, 25 minutes, 49 seconds
In other bases
ternary (3) 12202012201
quaternary (4) 123213331
quinary (5) 12110044
senary (6) 2231501
septenary (7) 650611
nonary (9) 182181
undecimal (11) 78013
duodecimal (12) 55591
tridecimal (13) 3c66a
tetradecimal (14) 2d341
pentadecimal (15) 237d4

As an angle

113,149° = 314 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρμθʹ
Mayan (base 20)
𝋮·𝋢·𝋱·𝋩
Chinese
一十一萬三千一百四十九
Chinese (financial)
壹拾壹萬參仟壹佰肆拾玖
In other modern scripts
Eastern Arabic ١١٣١٤٩ Devanagari ११३१४९ Bengali ১১৩১৪৯ Tamil ௧௧௩௧௪௯ Thai ๑๑๓๑๔๙ Tibetan ༡༡༣༡༤༩ Khmer ១១៣១៤៩ Lao ໑໑໓໑໔໙ Burmese ၁၁၃၁၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113147, cousin with 113153.

Hex color
#01B9FD
RGB(1, 185, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.253.

Address
0.1.185.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.253

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 113,149 and was likely granted around 1871.

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

Position in π

The digit sequence 113149 first appears in π at position 860,104 of the decimal expansion (the 860,104ordinal-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.

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.