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112,501

112,501 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.).

112,501 (one hundred twelve thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B775.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
105,211
Recamán's sequence
a(52,317) = 112,501
Square (n²)
12,656,475,001
Cube (n³)
1,423,866,094,087,501
Divisor count
2
σ(n) — sum of divisors
112,502
φ(n) — Euler's totient
112,500

Primality

112,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,501)
1 × 112501
First multiples
112,501 · 225,002 (double) · 337,503 · 450,004 · 562,505 · 675,006 · 787,507 · 900,008 · 1,012,509 · 1,125,010

Sums & aliquot sequence

As a sum of two squares: 199² + 270²
As consecutive integers: 56,250 + 56,251

Continued fraction of √n

√112,501 = [335; (2, 2, 3, 44, 2, 2, 1, 17, 2, 2, 2, 51, 5, 2, 1, 1, 3, 1, 1, 2, 1, 7, 3, 1, …)]

Representations

In words
one hundred twelve thousand five hundred one
Ordinal
112501st
Binary
11011011101110101
Octal
333565
Hexadecimal
0x1B775
Base64
Abd1
One's complement
4,294,854,794 (32-bit)
Scientific notation
1.12501 × 10⁵
As a duration
112,501 s = 1 day, 7 hours, 15 minutes, 1 second
In other bases
ternary (3) 12201022201
quaternary (4) 123131311
quinary (5) 12100001
senary (6) 2224501
septenary (7) 645664
nonary (9) 181281
undecimal (11) 77584
duodecimal (12) 55131
tridecimal (13) 3c28c
tetradecimal (14) 2cddb
pentadecimal (15) 23501

As an angle

112,501° = 312 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ριβφαʹ
Mayan (base 20)
𝋮·𝋡·𝋥·𝋡
Chinese
一十一萬二千五百零一
Chinese (financial)
壹拾壹萬貳仟伍佰零壹
In other modern scripts
Eastern Arabic ١١٢٥٠١ Devanagari ११२५०१ Bengali ১১২৫০১ Tamil ௧௧௨௫௦௧ Thai ๑๑๒๕๐๑ Tibetan ༡༡༢༥༠༡ Khmer ១១២៥០១ Lao ໑໑໒໕໐໑ Burmese ၁၁၂၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 112507.

Hex color
#01B775
RGB(1, 183, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.117.

Address
0.1.183.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.117

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 112,501 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 112501 first appears in π at position 17,865 of the decimal expansion (the 17,865ordinal-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.