number.wiki
Live analysis

112,129

112,129 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.).

112,129 (one hundred twelve thousand one hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B601.

Arithmetic Number 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
36
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
921,211
Recamán's sequence
a(247,042) = 112,129
Square (n²)
12,572,912,641
Cube (n³)
1,409,788,121,522,689
Divisor count
2
σ(n) — sum of divisors
112,130
φ(n) — Euler's totient
112,128

Primality

112,129 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112129
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,129)
1 × 112129
First multiples
112,129 · 224,258 (double) · 336,387 · 448,516 · 560,645 · 672,774 · 784,903 · 897,032 · 1,009,161 · 1,121,290

Sums & aliquot sequence

As a sum of two squares: 225² + 248²
As consecutive integers: 56,064 + 56,065

Continued fraction of √n

√112,129 = [334; (1, 5, 1, 43, 1, 3, 1, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 3, 1, 43, 1, 5, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand one hundred twenty-nine
Ordinal
112129th
Binary
11011011000000001
Octal
333001
Hexadecimal
0x1B601
Base64
AbYB
One's complement
4,294,855,166 (32-bit)
Scientific notation
1.12129 × 10⁵
As a duration
112,129 s = 1 day, 7 hours, 8 minutes, 49 seconds
In other bases
ternary (3) 12200210221
quaternary (4) 123120001
quinary (5) 12042004
senary (6) 2223041
septenary (7) 644623
nonary (9) 180727
undecimal (11) 77276
duodecimal (12) 54a81
tridecimal (13) 3c064
tetradecimal (14) 2cc13
pentadecimal (15) 23354

As an angle

112,129° = 311 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβρκθʹ
Mayan (base 20)
𝋮·𝋠·𝋦·𝋩
Chinese
一十一萬二千一百二十九
Chinese (financial)
壹拾壹萬貳仟壹佰貳拾玖
In other modern scripts
Eastern Arabic ١١٢١٢٩ Devanagari ११२१२९ Bengali ১১২১২৯ Tamil ௧௧௨௧௨௯ Thai ๑๑๒๑๒๙ Tibetan ༡༡༢༡༢༩ Khmer ១១២១២៩ Lao ໑໑໒໑໒໙ Burmese ၁၁၂၁၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B601
RGB(1, 182, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.1.

Address
0.1.182.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.1

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 112,129 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 112129 first appears in π at position 709 of the decimal expansion (the 709ordinal-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.