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112,913

112,913 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.).

112,913 (one hundred twelve thousand nine hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B911.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
54
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
319,211
Square (n²)
12,749,345,569
Cube (n³)
1,439,566,856,232,497
Divisor count
2
σ(n) — sum of divisors
112,914
φ(n) — Euler's totient
112,912

Primality

112,913 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112913
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,913)
1 × 112913
First multiples
112,913 · 225,826 (double) · 338,739 · 451,652 · 564,565 · 677,478 · 790,391 · 903,304 · 1,016,217 · 1,129,130

Sums & aliquot sequence

As a sum of two squares: 73² + 328²
As consecutive integers: 56,456 + 56,457

Continued fraction of √n

√112,913 = [336; (39, 1, 1, 7, 1, 1, 2, 3, 1, 7, 1, 2, 1, 3, 3, 1, 1, 4, 2, 1, 1, 1, 83, 2, …)]

Representations

In words
one hundred twelve thousand nine hundred thirteen
Ordinal
112913th
Binary
11011100100010001
Octal
334421
Hexadecimal
0x1B911
Base64
AbkR
One's complement
4,294,854,382 (32-bit)
Scientific notation
1.12913 × 10⁵
As a duration
112,913 s = 1 day, 7 hours, 21 minutes, 53 seconds
In other bases
ternary (3) 12201212222
quaternary (4) 123210101
quinary (5) 12103123
senary (6) 2230425
septenary (7) 650123
nonary (9) 181788
undecimal (11) 77919
duodecimal (12) 55415
tridecimal (13) 3c518
tetradecimal (14) 2d213
pentadecimal (15) 236c8

As an angle

112,913° = 313 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριβϡιγʹ
Mayan (base 20)
𝋮·𝋢·𝋥·𝋭
Chinese
一十一萬二千九百一十三
Chinese (financial)
壹拾壹萬貳仟玖佰壹拾參
In other modern scripts
Eastern Arabic ١١٢٩١٣ Devanagari ११२९१३ Bengali ১১২৯১৩ Tamil ௧௧௨௯௧௩ Thai ๑๑๒๙๑๓ Tibetan ༡༡༢༩༡༣ Khmer ១១២៩១៣ Lao ໑໑໒໙໑໓ Burmese ၁၁၂၉၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 112909, sexy with 112919.

Hex color
#01B911
RGB(1, 185, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.17.

Address
0.1.185.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.17

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 112,913 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 112913 first appears in π at position 562,218 of the decimal expansion (the 562,218ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.