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121,721

121,721 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.).

121,721 (one hundred twenty-one thousand seven 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, 0x1DB79.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
28
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
127,121
Square (n²)
14,816,001,841
Cube (n³)
1,803,418,560,088,361
Divisor count
2
σ(n) — sum of divisors
121,722
φ(n) — Euler's totient
121,720

Primality

121,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,721)
1 × 121721
First multiples
121,721 · 243,442 (double) · 365,163 · 486,884 · 608,605 · 730,326 · 852,047 · 973,768 · 1,095,489 · 1,217,210

Sums & aliquot sequence

As a sum of two squares: 139² + 320²
As consecutive integers: 60,860 + 60,861

Continued fraction of √n

√121,721 = [348; (1, 7, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 7, 5, 3, 4, 1, 3, 1, 1, 4, 1, 1, 2, …)]

Representations

In words
one hundred twenty-one thousand seven hundred twenty-one
Ordinal
121721st
Binary
11101101101111001
Octal
355571
Hexadecimal
0x1DB79
Base64
Adt5
One's complement
4,294,845,574 (32-bit)
Scientific notation
1.21721 × 10⁵
As a duration
121,721 s = 1 day, 9 hours, 48 minutes, 41 seconds
In other bases
ternary (3) 20011222012
quaternary (4) 131231321
quinary (5) 12343341
senary (6) 2335305
septenary (7) 1014605
nonary (9) 204865
undecimal (11) 834a6
duodecimal (12) 5a535
tridecimal (13) 43532
tetradecimal (14) 32505
pentadecimal (15) 260eb

As an angle

121,721° = 338 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρκαψκαʹ
Mayan (base 20)
𝋯·𝋤·𝋦·𝋡
Chinese
一十二萬一千七百二十一
Chinese (financial)
壹拾貳萬壹仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٢١٧٢١ Devanagari १२१७२१ Bengali ১২১৭২১ Tamil ௧௨௧௭௨௧ Thai ๑๒๑๗๒๑ Tibetan ༡༢༡༧༢༡ Khmer ១២១៧២១ Lao ໑໒໑໗໒໑ Burmese ၁၂၁၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121727.

Hex color
#01DB79
RGB(1, 219, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.121.

Address
0.1.219.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.121

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 121,721 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 121721 first appears in π at position 650,304 of the decimal expansion (the 650,304ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.