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113,921

113,921 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.).

113,921 (one hundred thirteen thousand nine 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, 0x1BD01.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
54
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
129,311
Recamán's sequence
a(56,629) = 113,921
Square (n²)
12,977,994,241
Cube (n³)
1,478,466,081,928,961
Divisor count
2
σ(n) — sum of divisors
113,922
φ(n) — Euler's totient
113,920

Primality

113,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,921)
1 × 113921
First multiples
113,921 · 227,842 (double) · 341,763 · 455,684 · 569,605 · 683,526 · 797,447 · 911,368 · 1,025,289 · 1,139,210

Sums & aliquot sequence

As a sum of two squares: 164² + 295²
As consecutive integers: 56,960 + 56,961

Continued fraction of √n

√113,921 = [337; (1, 1, 10, 1, 15, 1, 26, 16, 2, 2, 1, 16, 6, 7, 1, 1, 41, 1, 1, 1, 11, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand nine hundred twenty-one
Ordinal
113921st
Binary
11011110100000001
Octal
336401
Hexadecimal
0x1BD01
Base64
Ab0B
One's complement
4,294,853,374 (32-bit)
Scientific notation
1.13921 × 10⁵
As a duration
113,921 s = 1 day, 7 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 12210021022
quaternary (4) 123310001
quinary (5) 12121141
senary (6) 2235225
septenary (7) 653063
nonary (9) 183238
undecimal (11) 78655
duodecimal (12) 55b15
tridecimal (13) 3cb12
tetradecimal (14) 2d733
pentadecimal (15) 23b4b

As an angle

113,921° = 316 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριγϡκαʹ
Mayan (base 20)
𝋮·𝋤·𝋰·𝋡
Chinese
一十一萬三千九百二十一
Chinese (financial)
壹拾壹萬參仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١١٣٩٢١ Devanagari ११३९२१ Bengali ১১৩৯২১ Tamil ௧௧௩௯௨௧ Thai ๑๑๓๙๒๑ Tibetan ༡༡༣༩༢༡ Khmer ១១៣៩២១ Lao ໑໑໓໙໒໑ Burmese ၁၁၃၉၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BD01
RGB(1, 189, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.1.

Address
0.1.189.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.1

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 113,921 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.