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112,601

112,601 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.).

112,601 (one hundred twelve thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B7D9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
106,211
Square (n²)
12,678,985,201
Cube (n³)
1,427,666,412,617,801
Divisor count
2
σ(n) — sum of divisors
112,602
φ(n) — Euler's totient
112,600

Primality

112,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,601)
1 × 112601
First multiples
112,601 · 225,202 (double) · 337,803 · 450,404 · 563,005 · 675,606 · 788,207 · 900,808 · 1,013,409 · 1,126,010

Sums & aliquot sequence

As a sum of two squares: 101² + 320²
As consecutive integers: 56,300 + 56,301

Continued fraction of √n

√112,601 = [335; (1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 5, 10, 1, 4, 3, 133, 1, 10, 2, 1, 1, 1, 1, 2, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand six hundred one
Ordinal
112601st
Binary
11011011111011001
Octal
333731
Hexadecimal
0x1B7D9
Base64
AbfZ
One's complement
4,294,854,694 (32-bit)
Scientific notation
1.12601 × 10⁵
As a duration
112,601 s = 1 day, 7 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 12201110102
quaternary (4) 123133121
quinary (5) 12100401
senary (6) 2225145
septenary (7) 646166
nonary (9) 181412
undecimal (11) 77665
duodecimal (12) 551b5
tridecimal (13) 3c338
tetradecimal (14) 2d06d
pentadecimal (15) 2356b

As an angle

112,601° = 312 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ριβχαʹ
Mayan (base 20)
𝋮·𝋡·𝋪·𝋡
Chinese
一十一萬二千六百零一
Chinese (financial)
壹拾壹萬貳仟陸佰零壹
In other modern scripts
Eastern Arabic ١١٢٦٠١ Devanagari ११२६०१ Bengali ১১২৬০১ Tamil ௧௧௨௬௦௧ Thai ๑๑๒๖๐๑ Tibetan ༡༡༢༦༠༡ Khmer ១១២៦០១ Lao ໑໑໒໖໐໑ Burmese ၁၁၂၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 112603.

Hex color
#01B7D9
RGB(1, 183, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.217.

Address
0.1.183.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.217

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 112,601 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 112601 first appears in π at position 788,031 of the decimal expansion (the 788,031ordinal-suffix:st 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.