number.wiki
Live analysis

120,401

120,401 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.).

120,401 (one hundred twenty thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D651.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean 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
104,021
Square (n²)
14,496,400,801
Cube (n³)
1,745,381,152,841,201
Divisor count
2
σ(n) — sum of divisors
120,402
φ(n) — Euler's totient
120,400

Primality

120,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,401)
1 × 120401
First multiples
120,401 · 240,802 (double) · 361,203 · 481,604 · 602,005 · 722,406 · 842,807 · 963,208 · 1,083,609 · 1,204,010

Sums & aliquot sequence

As a sum of two squares: 224² + 265²
As consecutive integers: 60,200 + 60,201

Continued fraction of √n

√120,401 = [346; (1, 85, 1, 2, 1, 42, 1, 1, 1, 1, 1, 21, 16, 10, 1, 3, 1, 1, 3, 5, 7, 8, 1, 1, …)]

Representations

In words
one hundred twenty thousand four hundred one
Ordinal
120401st
Binary
11101011001010001
Octal
353121
Hexadecimal
0x1D651
Base64
AdZR
One's complement
4,294,846,894 (32-bit)
Scientific notation
1.20401 × 10⁵
As a duration
120,401 s = 1 day, 9 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 20010011022
quaternary (4) 131121101
quinary (5) 12323101
senary (6) 2325225
septenary (7) 1011011
nonary (9) 203138
undecimal (11) 82506
duodecimal (12) 59815
tridecimal (13) 42a58
tetradecimal (14) 31c41
pentadecimal (15) 25a1b

As an angle

120,401° = 334 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκυαʹ
Mayan (base 20)
𝋯·𝋡·𝋠·𝋡
Chinese
一十二萬零四百零一
Chinese (financial)
壹拾貳萬零肆佰零壹
In other modern scripts
Eastern Arabic ١٢٠٤٠١ Devanagari १२०४०१ Bengali ১২০৪০১ Tamil ௧௨௦௪௦௧ Thai ๑๒๐๔๐๑ Tibetan ༡༢༠༤༠༡ Khmer ១២០៤០១ Lao ໑໒໐໔໐໑ Burmese ၁၂၀၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120397.

Unicode codepoint
𝙑
Mathematical Sans-Serif Bold Italic Capital V
U+1D651
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 91 (4 bytes).

Hex color
#01D651
RGB(1, 214, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.81.

Address
0.1.214.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.81

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 120,401 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 120401 first appears in π at position 864,875 of the decimal expansion (the 864,875ordinal-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.