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112,121

112,121 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.).

112,121 (one hundred twelve thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B5F9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
4
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
121,211
Recamán's sequence
a(247,058) = 112,121
Square (n²)
12,571,118,641
Cube (n³)
1,409,486,393,147,561
Divisor count
2
σ(n) — sum of divisors
112,122
φ(n) — Euler's totient
112,120

Primality

112,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,121)
1 × 112121
First multiples
112,121 · 224,242 (double) · 336,363 · 448,484 · 560,605 · 672,726 · 784,847 · 896,968 · 1,009,089 · 1,121,210

Sums & aliquot sequence

As a sum of two squares: 211² + 260²
As consecutive integers: 56,060 + 56,061

Continued fraction of √n

√112,121 = [334; (1, 5, 2, 3, 1, 2, 1, 1, 1, 1, 1, 10, 2, 1, 3, 1, 4, 2, 18, 1, 2, 7, 3, 1, …)]

Representations

In words
one hundred twelve thousand one hundred twenty-one
Ordinal
112121st
Binary
11011010111111001
Octal
332771
Hexadecimal
0x1B5F9
Base64
AbX5
One's complement
4,294,855,174 (32-bit)
Scientific notation
1.12121 × 10⁵
As a duration
112,121 s = 1 day, 7 hours, 8 minutes, 41 seconds
In other bases
ternary (3) 12200210122
quaternary (4) 123113321
quinary (5) 12041441
senary (6) 2223025
septenary (7) 644612
nonary (9) 180718
undecimal (11) 77269
duodecimal (12) 54a75
tridecimal (13) 3c059
tetradecimal (14) 2cc09
pentadecimal (15) 2334b

As an angle

112,121° = 311 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριβρκαʹ
Mayan (base 20)
𝋮·𝋠·𝋦·𝋡
Chinese
一十一萬二千一百二十一
Chinese (financial)
壹拾壹萬貳仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١١٢١٢١ Devanagari ११२१२१ Bengali ১১২১২১ Tamil ௧௧௨௧௨௧ Thai ๑๑๒๑๒๑ Tibetan ༡༡༢༡༢༡ Khmer ១១២១២១ Lao ໑໑໒໑໒໑ Burmese ၁၁၂၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B5F9
RGB(1, 181, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.249.

Address
0.1.181.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.181.249

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 112,121 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 112121 first appears in π at position 142,333 of the decimal expansion (the 142,333ordinal-suffix:rd 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.