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121,013

121,013 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.).

121,013 (one hundred twenty-one thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D8B5.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
310,121
Square (n²)
14,644,146,169
Cube (n³)
1,772,132,060,349,197
Divisor count
2
σ(n) — sum of divisors
121,014
φ(n) — Euler's totient
121,012

Primality

121,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,013)
1 × 121013
First multiples
121,013 · 242,026 (double) · 363,039 · 484,052 · 605,065 · 726,078 · 847,091 · 968,104 · 1,089,117 · 1,210,130

Sums & aliquot sequence

As a sum of two squares: 58² + 343²
As consecutive integers: 60,506 + 60,507

Continued fraction of √n

√121,013 = [347; (1, 6, 1, 1, 1, 4, 1, 23, 5, 1, 21, 1, 1, 1, 1, 4, 173, 1, 2, 1, 1, 6, 5, 2, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand thirteen
Ordinal
121013th
Binary
11101100010110101
Octal
354265
Hexadecimal
0x1D8B5
Base64
Adi1
One's complement
4,294,846,282 (32-bit)
Scientific notation
1.21013 × 10⁵
As a duration
121,013 s = 1 day, 9 hours, 36 minutes, 53 seconds
In other bases
ternary (3) 20010222222
quaternary (4) 131202311
quinary (5) 12333023
senary (6) 2332125
septenary (7) 1012544
nonary (9) 203888
undecimal (11) 82a12
duodecimal (12) 5a045
tridecimal (13) 43109
tetradecimal (14) 3215b
pentadecimal (15) 25cc8

As an angle

121,013° = 336 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκαιγʹ
Mayan (base 20)
𝋯·𝋢·𝋪·𝋭
Chinese
一十二萬一千零一十三
Chinese (financial)
壹拾貳萬壹仟零壹拾參
In other modern scripts
Eastern Arabic ١٢١٠١٣ Devanagari १२१०१३ Bengali ১২১০১৩ Tamil ௧௨௧௦௧௩ Thai ๑๒๑๐๑๓ Tibetan ༡༢༡༠༡༣ Khmer ១២១០១៣ Lao ໑໒໑໐໑໓ Burmese ၁၂၁၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121007, sexy with 121019.

Unicode codepoint
𝢵
Signwriting Hand-Fist Ring Middle Conjoined
U+1D8B5
Other symbol (So)

UTF-8 encoding: F0 9D A2 B5 (4 bytes).

Hex color
#01D8B5
RGB(1, 216, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.181.

Address
0.1.216.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.181

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 121,013 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.