Live analysis

123,401

123,401 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.).

123,401 (one hundred twenty-three 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, 0x1E209.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

123,389 123,390 123,391 123,392 123,393 123,394 123,395 123,396 123,397 123,398 123,399 123,400 123,401 123,402 123,403 123,404 123,405 123,406 123,407 123,408 123,409 123,410 123,411 123,412 123,413

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 104,321
Square (n²): 15,227,806,801
Cube (n³): 1,879,126,587,050,201
Divisor count: 2
σ(n) — sum of divisors: 123,402
φ(n) — Euler's totient: 123,400

Primality

123,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 123401

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 123,401)

1 × 123401

First multiples

123,401 · 246,802 (double) · 370,203 · 493,604 · 617,005 · 740,406 · 863,807 · 987,208 · 1,110,609 · 1,234,010

Sums & aliquot sequence

As a sum of two squares: 40² + 349²

As consecutive integers: 61,700 + 61,701

Continued fraction of √n

√123,401 = [351; (3, 1, 1, 21, 2, 1, 1, 1, 1, 7, 1, 1, 1, 6, 5, 1, 23, 2, 1, 1, 3, 12, 2, 63, …)]

Representations

In words: one hundred twenty-three thousand four hundred one
Ordinal: 123401st
Binary: 11110001000001001
Octal: 361011
Hexadecimal: 0x1E209
Base64: AeIJ
One's complement: 4,294,843,894 (32-bit)
Scientific notation: 1.23401 × 10⁵
As a duration: 123,401 s = 1 day, 10 hours, 16 minutes, 41 seconds

In other bases

ternary (3) 20021021102

quaternary (4) 132020021

quinary (5) 12422101

senary (6) 2351145

septenary (7) 1022525

nonary (9) 207242

undecimal (11) 84793

duodecimal (12) 5b4b5

tridecimal (13) 44225

tetradecimal (14) 32d85

pentadecimal (15) 2686b

Palindromic in base 12

As an angle

123,401° = 342 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵ρκγυαʹ
Mayan (base 20): 𝋯·𝋨·𝋪·𝋡
Chinese: 一十二萬三千四百零一
Chinese (financial): 壹拾貳萬參仟肆佰零壹

In other modern scripts

Eastern Arabic ١٢٣٤٠١ Devanagari १२३४०१ Bengali ১২৩৪০১ Tamil ௧௨௩௪௦௧ Thai ๑๒๓๔๐๑ Tibetan ༡༢༣༤༠༡ Khmer ១២៣៤០១ Lao ໑໒໓໔໐໑ Burmese ၁၂၃၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 123,397 (gap of 4)
Next prime: 123,407 (gap of 6)

Pair status: cousin with 123397, sexy with 123407.

Hex color

#01E209

RGB(1, 226, 9)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.226.9.

Address: 0.1.226.9
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.226.9

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 123,401 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US123,401 on Google Patents ↗ Look up on USPTO ↗