Live analysis

123,091

123,091 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.).

123,091 (one hundred twenty-three thousand ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E0D3.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

123,079 123,080 123,081 123,082 123,083 123,084 123,085 123,086 123,087 123,088 123,089 123,090 123,091 123,092 123,093 123,094 123,095 123,096 123,097 123,098 123,099 123,100 123,101 123,102 123,103

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 190,321
Square (n²): 15,151,394,281
Cube (n³): 1,865,000,273,442,571
Divisor count: 2
σ(n) — sum of divisors: 123,092
φ(n) — Euler's totient: 123,090

Primality

123,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 123091

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 123,091)

1 × 123091

First multiples

123,091 · 246,182 (double) · 369,273 · 492,364 · 615,455 · 738,546 · 861,637 · 984,728 · 1,107,819 · 1,230,910

Sums & aliquot sequence

As consecutive integers: 61,545 + 61,546

Continued fraction of √n

√123,091 = [350; (1, 5, 2, 1, 1, 1, 2, 3, 1, 2, 12, 2, 1, 1, 13, 2, 3, 2, 5, 1, 2, 1, 1, 5, …)]

Representations

In words: one hundred twenty-three thousand ninety-one
Ordinal: 123091st
Binary: 11110000011010011
Octal: 360323
Hexadecimal: 0x1E0D3
Base64: AeDT
One's complement: 4,294,844,204 (32-bit)
Scientific notation: 1.23091 × 10⁵
As a duration: 123,091 s = 1 day, 10 hours, 11 minutes, 31 seconds

In other bases

ternary (3) 20020211221

quaternary (4) 132003103

quinary (5) 12414331

senary (6) 2345511

septenary (7) 1021603

nonary (9) 206757

undecimal (11) 84531

duodecimal (12) 5b297

tridecimal (13) 44047

tetradecimal (14) 32c03

pentadecimal (15) 26711

As an angle

123,091° = 341 × 360° + 331°

331° ≈ 5.777 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ρκγϟαʹ
Mayan (base 20): 𝋯·𝋧·𝋮·𝋫
Chinese: 一十二萬三千零九十一
Chinese (financial): 壹拾貳萬參仟零玖拾壹

In other modern scripts

Eastern Arabic ١٢٣٠٩١ Devanagari १२३०९१ Bengali ১২৩০৯১ Tamil ௧௨௩௦௯௧ Thai ๑๒๓๐๙๑ Tibetan ༡༢༣༠༩༡ Khmer ១២៣០៩១ Lao ໑໒໓໐໙໑ Burmese ၁၂၃၀၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 123,083 (gap of 8)
Next prime: 123,113 (gap of 22)

Hex color

#01E0D3

RGB(1, 224, 211)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.211.

Address: 0.1.224.211
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.211

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 123,091 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 US123,091 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 123091 first appears in π at position 426,786 of the decimal expansion (the 426,786ordinal-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.

Look up 123091 on Pi Search ↗