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121,123

121,123 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.).

121,123 (one hundred twenty-one thousand one hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D923.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
321,121
Square (n²)
14,670,781,129
Cube (n³)
1,776,969,022,687,867
Divisor count
2
σ(n) — sum of divisors
121,124
φ(n) — Euler's totient
121,122

Primality

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

Divisors & multiples

All divisors (2)
1 · 121123
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,123)
1 × 121123
First multiples
121,123 · 242,246 (double) · 363,369 · 484,492 · 605,615 · 726,738 · 847,861 · 968,984 · 1,090,107 · 1,211,230

Sums & aliquot sequence

As consecutive integers: 60,561 + 60,562

Continued fraction of √n

√121,123 = [348; (36, 1, 1, 1, 2, 1, 1, 1, 2, 1, 6, 2, 1, 1, 1, 4, 1, 8, 1, 2, 2, 12, 2, 6, …)]

Representations

In words
one hundred twenty-one thousand one hundred twenty-three
Ordinal
121123rd
Binary
11101100100100011
Octal
354443
Hexadecimal
0x1D923
Base64
Adkj
One's complement
4,294,846,172 (32-bit)
Scientific notation
1.21123 × 10⁵
As a duration
121,123 s = 1 day, 9 hours, 38 minutes, 43 seconds
In other bases
ternary (3) 20011011001
quaternary (4) 131210203
quinary (5) 12333443
senary (6) 2332431
septenary (7) 1013062
nonary (9) 204131
undecimal (11) 83002
duodecimal (12) 5a117
tridecimal (13) 43192
tetradecimal (14) 321d9
pentadecimal (15) 25d4d

As an angle

121,123° = 336 × 360° + 163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρκγʹ
Mayan (base 20)
𝋯·𝋢·𝋰·𝋣
Chinese
一十二萬一千一百二十三
Chinese (financial)
壹拾貳萬壹仟壹佰貳拾參
In other modern scripts
Eastern Arabic ١٢١١٢٣ Devanagari १२११२३ Bengali ১২১১২৩ Tamil ௧௨௧௧௨௩ Thai ๑๒๑๑๒๓ Tibetan ༡༢༡༡༢༣ Khmer ១២១១២៣ Lao ໑໒໑໑໒໓ Burmese ၁၂၁၁၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𝤣
Signwriting Movement-Hinge Up Sequential
U+1D923
Other symbol (So)

UTF-8 encoding: F0 9D A4 A3 (4 bytes).

Hex color
#01D923
RGB(1, 217, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.35.

Address
0.1.217.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.35

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 121,123 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 121123 first appears in π at position 746,854 of the decimal expansion (the 746,854ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.