Live analysis

123,121

123,121 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.).

123,121 (one hundred twenty-three thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E0F1.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

123,109 123,110 123,111 123,112 123,113 123,114 123,115 123,116 123,117 123,118 123,119 123,120 123,121 123,122 123,123 123,124 123,125 123,126 123,127 123,128 123,129 123,130 123,131 123,132 123,133

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Properties

Parity: Odd
Digit count: 6
Digit sum: 10
Digit product: 12
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 121,321
Square (n²): 15,158,780,641
Cube (n³): 1,866,364,231,300,561
Divisor count: 2
σ(n) — sum of divisors: 123,122
φ(n) — Euler's totient: 123,120

Primality

123,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 123121

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 123,121)

1 × 123121

First multiples

123,121 · 246,242 (double) · 369,363 · 492,484 · 615,605 · 738,726 · 861,847 · 984,968 · 1,108,089 · 1,231,210

Sums & aliquot sequence

As a sum of two squares: 64² + 345²

As consecutive integers: 61,560 + 61,561

Continued fraction of √n

√123,121 = [350; (1, 7, 1, 3, 2, 2, 2, 36, 1, 1, 11, 1, 4, 7, 1, 3, 2, 1, 1, 1, 233, 3, 2, 1, …)]

Representations

In words: one hundred twenty-three thousand one hundred twenty-one
Ordinal: 123121st
Binary: 11110000011110001
Octal: 360361
Hexadecimal: 0x1E0F1
Base64: AeDx
One's complement: 4,294,844,174 (32-bit)
Scientific notation: 1.23121 × 10⁵
As a duration: 123,121 s = 1 day, 10 hours, 12 minutes, 1 second

In other bases

ternary (3) 20020220001

quaternary (4) 132003301

quinary (5) 12414441

senary (6) 2350001

septenary (7) 1021645

nonary (9) 206801

undecimal (11) 84559

duodecimal (12) 5b301

tridecimal (13) 4406b

tetradecimal (14) 32c25

pentadecimal (15) 26731

As an angle

123,121° = 342 × 360° + 1°

1° ≈ 0.017 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ρκγρκαʹ
Mayan (base 20): 𝋯·𝋧·𝋰·𝋡
Chinese: 一十二萬三千一百二十一
Chinese (financial): 壹拾貳萬參仟壹佰貳拾壹

In other modern scripts

Eastern Arabic ١٢٣١٢١ Devanagari १२३१२१ Bengali ১২৩১২১ Tamil ௧௨௩௧௨௧ Thai ๑๒๓๑๒๑ Tibetan ༡༢༣༡༢༡ Khmer ១២៣១២១ Lao ໑໒໓໑໒໑ Burmese ၁၂၃၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 123,113 (gap of 8)
Next prime: 123,127 (gap of 6)

Pair status: sexy with 123127.

Hex color

#01E0F1

RGB(1, 224, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.241.

Address: 0.1.224.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.241

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 123,121 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 US123,121 on Google Patents ↗ Look up on USPTO ↗