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121,001

121,001 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.).

121,001 (one hundred twenty-one thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D8A9.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
100,121
Square (n²)
14,641,242,001
Cube (n³)
1,771,604,923,363,001
Divisor count
2
σ(n) — sum of divisors
121,002
φ(n) — Euler's totient
121,000

Primality

121,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,001)
1 × 121001
First multiples
121,001 · 242,002 (double) · 363,003 · 484,004 · 605,005 · 726,006 · 847,007 · 968,008 · 1,089,009 · 1,210,010

Sums & aliquot sequence

As a sum of two squares: 124² + 325²
As consecutive integers: 60,500 + 60,501

Continued fraction of √n

√121,001 = [347; (1, 5, 1, 3, 10, 2, 3, 1, 20, 1, 26, 1, 6, 1, 16, 10, 1, 1, 1, 4, 4, 1, 3, 1, …)]

Representations

In words
one hundred twenty-one thousand one
Ordinal
121001st
Binary
11101100010101001
Octal
354251
Hexadecimal
0x1D8A9
Base64
Adip
One's complement
4,294,846,294 (32-bit)
Scientific notation
1.21001 × 10⁵
As a duration
121,001 s = 1 day, 9 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 20010222112
quaternary (4) 131202221
quinary (5) 12333001
senary (6) 2332105
septenary (7) 1012526
nonary (9) 203875
undecimal (11) 82a01
duodecimal (12) 5a035
tridecimal (13) 430ca
tetradecimal (14) 3214d
pentadecimal (15) 25cbb

As an angle

121,001° = 336 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓏺
Greek (Milesian)
͵ρκααʹ
Mayan (base 20)
𝋯·𝋢·𝋪·𝋡
Chinese
一十二萬一千零一
Chinese (financial)
壹拾貳萬壹仟零壹
In other modern scripts
Eastern Arabic ١٢١٠٠١ Devanagari १२१००१ Bengali ১২১০০১ Tamil ௧௨௧௦௦௧ Thai ๑๒๑๐๐๑ Tibetan ༡༢༡༠༠༡ Khmer ១២១០០១ Lao ໑໒໑໐໐໑ Burmese ၁၂၁၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120997, sexy with 121007.

Unicode codepoint
𝢩
Signwriting Hand-Fist Index Middle Cross Little
U+1D8A9
Other symbol (So)

UTF-8 encoding: F0 9D A2 A9 (4 bytes).

Hex color
#01D8A9
RGB(1, 216, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.169.

Address
0.1.216.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.169

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 121,001 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 121001 first appears in π at position 842,508 of the decimal expansion (the 842,508ordinal-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.