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125,201

125,201 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.).

125,201 (one hundred twenty-five thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E911.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
102,521
Recamán's sequence
a(235,762) = 125,201
Square (n²)
15,675,290,401
Cube (n³)
1,962,562,033,495,601
Divisor count
2
σ(n) — sum of divisors
125,202
φ(n) — Euler's totient
125,200

Primality

125,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,201)
1 × 125201
First multiples
125,201 · 250,402 (double) · 375,603 · 500,804 · 626,005 · 751,206 · 876,407 · 1,001,608 · 1,126,809 · 1,252,010

Sums & aliquot sequence

As a sum of two squares: 151² + 320²
As consecutive integers: 62,600 + 62,601

Continued fraction of √n

√125,201 = [353; (1, 5, 6, 2, 4, 4, 2, 6, 5, 1, 706)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand two hundred one
Ordinal
125201st
Binary
11110100100010001
Octal
364421
Hexadecimal
0x1E911
Base64
AekR
One's complement
4,294,842,094 (32-bit)
Scientific notation
1.25201 × 10⁵
As a duration
125,201 s = 1 day, 10 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 20100202002
quaternary (4) 132210101
quinary (5) 13001301
senary (6) 2403345
septenary (7) 1031006
nonary (9) 210662
undecimal (11) 8607a
duodecimal (12) 60555
tridecimal (13) 44cab
tetradecimal (14) 338ad
pentadecimal (15) 2716b

As an angle

125,201° = 347 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρκεσαʹ
Mayan (base 20)
𝋯·𝋭·𝋠·𝋡
Chinese
一十二萬五千二百零一
Chinese (financial)
壹拾貳萬伍仟貳佰零壹
In other modern scripts
Eastern Arabic ١٢٥٢٠١ Devanagari १२५२०१ Bengali ১২৫২০১ Tamil ௧௨௫௨௦௧ Thai ๑๒๕๒๐๑ Tibetan ༡༢༥༢༠༡ Khmer ១២៥២០១ Lao ໑໒໕໒໐໑ Burmese ၁၂၅၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 125197, sexy with 125207.

Unicode codepoint
𞤑
Adlam Capital Letter Kaf
U+1E911
Uppercase letter (Lu)

UTF-8 encoding: F0 9E A4 91 (4 bytes).

Hex color
#01E911
RGB(1, 233, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.233.17.

Address
0.1.233.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.233.17

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 125,201 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 125201 first appears in π at position 70,003 of the decimal expansion (the 70,003ordinal-suffix:rd 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.