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121,357

121,357 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.).

121,357 (one hundred twenty-one thousand three hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DA0D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
753,121
Square (n²)
14,727,521,449
Cube (n³)
1,787,287,820,486,293
Divisor count
2
σ(n) — sum of divisors
121,358
φ(n) — Euler's totient
121,356

Primality

121,357 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121357
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,357)
1 × 121357
First multiples
121,357 · 242,714 (double) · 364,071 · 485,428 · 606,785 · 728,142 · 849,499 · 970,856 · 1,092,213 · 1,213,570

Sums & aliquot sequence

As a sum of two squares: 99² + 334²
As consecutive integers: 60,678 + 60,679

Continued fraction of √n

√121,357 = [348; (2, 1, 3, 25, 1, 1, 7, 3, 7, 3, 1, 15, 13, 12, 6, 1, 4, 2, 2, 1, 1, 1, 1, 15, …)]

Representations

In words
one hundred twenty-one thousand three hundred fifty-seven
Ordinal
121357th
Binary
11101101000001101
Octal
355015
Hexadecimal
0x1DA0D
Base64
AdoN
One's complement
4,294,845,938 (32-bit)
Scientific notation
1.21357 × 10⁵
As a duration
121,357 s = 1 day, 9 hours, 42 minutes, 37 seconds
In other bases
ternary (3) 20011110201
quaternary (4) 131220031
quinary (5) 12340412
senary (6) 2333501
septenary (7) 1013545
nonary (9) 204421
undecimal (11) 831a5
duodecimal (12) 5a291
tridecimal (13) 43312
tetradecimal (14) 32325
pentadecimal (15) 25e57

As an angle

121,357° = 337 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατνζʹ
Mayan (base 20)
𝋯·𝋣·𝋧·𝋱
Chinese
一十二萬一千三百五十七
Chinese (financial)
壹拾貳萬壹仟參佰伍拾柒
In other modern scripts
Eastern Arabic ١٢١٣٥٧ Devanagari १२१३५७ Bengali ১২১৩৫৭ Tamil ௧௨௧௩௫௭ Thai ๑๒๑๓๕๗ Tibetan ༡༢༡༣༥༧ Khmer ១២១៣៥៧ Lao ໑໒໑໓໕໗ Burmese ၁၂၁၃၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121351.

Unicode codepoint
𝨍
Signwriting Dreamy Eyebrows Neutral Down
U+1DA0D
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 8D (4 bytes).

Hex color
#01DA0D
RGB(1, 218, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.13.

Address
0.1.218.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.13

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 121,357 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 121357 first appears in π at position 865,259 of the decimal expansion (the 865,259ordinal-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.