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121,007

121,007 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.).

121,007 (one hundred twenty-one thousand seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D8AF.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
700,121
Square (n²)
14,642,694,049
Cube (n³)
1,771,868,478,787,343
Divisor count
2
σ(n) — sum of divisors
121,008
φ(n) — Euler's totient
121,006

Primality

121,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,007)
1 × 121007
First multiples
121,007 · 242,014 (double) · 363,021 · 484,028 · 605,035 · 726,042 · 847,049 · 968,056 · 1,089,063 · 1,210,070

Sums & aliquot sequence

As consecutive integers: 60,503 + 60,504

Continued fraction of √n

√121,007 = [347; (1, 6, 5, 1, 3, 20, 4, 1, 21, 1, 1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 4, 1, 3, 2, …)]

Representations

In words
one hundred twenty-one thousand seven
Ordinal
121007th
Binary
11101100010101111
Octal
354257
Hexadecimal
0x1D8AF
Base64
Adiv
One's complement
4,294,846,288 (32-bit)
Scientific notation
1.21007 × 10⁵
As a duration
121,007 s = 1 day, 9 hours, 36 minutes, 47 seconds
In other bases
ternary (3) 20010222202
quaternary (4) 131202233
quinary (5) 12333012
senary (6) 2332115
septenary (7) 1012535
nonary (9) 203882
undecimal (11) 82a07
duodecimal (12) 5a03b
tridecimal (13) 43103
tetradecimal (14) 32155
pentadecimal (15) 25cc2

As an angle

121,007° = 336 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαζʹ
Mayan (base 20)
𝋯·𝋢·𝋪·𝋧
Chinese
一十二萬一千零七
Chinese (financial)
壹拾貳萬壹仟零柒
In other modern scripts
Eastern Arabic ١٢١٠٠٧ Devanagari १२१००७ Bengali ১২১০০৭ Tamil ௧௨௧௦௦௭ Thai ๑๒๑๐๐๗ Tibetan ༡༢༡༠༠༧ Khmer ១២១០០៧ Lao ໑໒໑໐໐໗ Burmese ၁၂၁၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121001, sexy with 121013.

Unicode codepoint
𝢯
Signwriting Hand-Fist Ring Raised Knuckle
U+1D8AF
Other symbol (So)

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

Hex color
#01D8AF
RGB(1, 216, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.175.

Address
0.1.216.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.175

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 121,007 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 121007 first appears in π at position 441,439 of the decimal expansion (the 441,439ordinal-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.