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121,553

121,553 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.).

121,553 (one hundred twenty-one thousand five hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DAD1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
150
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
355,121
Square (n²)
14,775,131,809
Cube (n³)
1,795,961,596,779,377
Divisor count
2
σ(n) — sum of divisors
121,554
φ(n) — Euler's totient
121,552

Primality

121,553 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121553
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,553)
1 × 121553
First multiples
121,553 · 243,106 (double) · 364,659 · 486,212 · 607,765 · 729,318 · 850,871 · 972,424 · 1,093,977 · 1,215,530

Sums & aliquot sequence

As a sum of two squares: 223² + 268²
As consecutive integers: 60,776 + 60,777

Continued fraction of √n

√121,553 = [348; (1, 1, 1, 4, 2, 1, 6, 63, 4, 6, 3, 1, 2, 1, 3, 1, 1, 5, 4, 1, 10, 11, 2, 1, …)]

Representations

In words
one hundred twenty-one thousand five hundred fifty-three
Ordinal
121553rd
Binary
11101101011010001
Octal
355321
Hexadecimal
0x1DAD1
Base64
AdrR
One's complement
4,294,845,742 (32-bit)
Scientific notation
1.21553 × 10⁵
As a duration
121,553 s = 1 day, 9 hours, 45 minutes, 53 seconds
In other bases
ternary (3) 20011201222
quaternary (4) 131223101
quinary (5) 12342203
senary (6) 2334425
septenary (7) 1014245
nonary (9) 204658
undecimal (11) 83363
duodecimal (12) 5a415
tridecimal (13) 43433
tetradecimal (14) 32425
pentadecimal (15) 26038
Palindromic in base 16

As an angle

121,553° = 337 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκαφνγʹ
Mayan (base 20)
𝋯·𝋣·𝋱·𝋭
Chinese
一十二萬一千五百五十三
Chinese (financial)
壹拾貳萬壹仟伍佰伍拾參
In other modern scripts
Eastern Arabic ١٢١٥٥٣ Devanagari १२१५५३ Bengali ১২১৫৫৩ Tamil ௧௨௧௫௫௩ Thai ๑๒๑๕๕๓ Tibetan ༡༢༡༥༥༣ Khmer ១២១៥៥៣ Lao ໑໒໑໕໕໓ Burmese ၁၂၁၅၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121547, sexy with 121559.

Hex color
#01DAD1
RGB(1, 218, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.209.

Address
0.1.218.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.209

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 121,553 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 121553 first appears in π at position 137,981 of the decimal expansion (the 137,981ordinal-suffix:st 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.