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125,101

125,101 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.).

125,101 (one hundred twenty-five thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E8AD.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
101,521
Recamán's sequence
a(235,962) = 125,101
Square (n²)
15,650,260,201
Cube (n³)
1,957,863,201,405,301
Divisor count
2
σ(n) — sum of divisors
125,102
φ(n) — Euler's totient
125,100

Primality

125,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,101)
1 × 125101
First multiples
125,101 · 250,202 (double) · 375,303 · 500,404 · 625,505 · 750,606 · 875,707 · 1,000,808 · 1,125,909 · 1,251,010

Sums & aliquot sequence

As a sum of two squares: 51² + 350²
As consecutive integers: 62,550 + 62,551

Continued fraction of √n

√125,101 = [353; (1, 2, 3, 2, 3, 30, 2, 6, 1, 1, 1, 7, 1, 3, 2, 1, 5, 2, 5, 2, 15, 1, 140, 1, …)]

Representations

In words
one hundred twenty-five thousand one hundred one
Ordinal
125101st
Binary
11110100010101101
Octal
364255
Hexadecimal
0x1E8AD
Base64
Aeit
One's complement
4,294,842,194 (32-bit)
Scientific notation
1.25101 × 10⁵
As a duration
125,101 s = 1 day, 10 hours, 45 minutes, 1 second
In other bases
ternary (3) 20100121101
quaternary (4) 132202231
quinary (5) 13000401
senary (6) 2403101
septenary (7) 1030504
nonary (9) 210541
undecimal (11) 85a99
duodecimal (12) 60491
tridecimal (13) 44c32
tetradecimal (14) 3383b
pentadecimal (15) 27101
Palindromic in base 4

As an angle

125,101° = 347 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ρκεραʹ
Mayan (base 20)
𝋯·𝋬·𝋯·𝋡
Chinese
一十二萬五千一百零一
Chinese (financial)
壹拾貳萬伍仟壹佰零壹
In other modern scripts
Eastern Arabic ١٢٥١٠١ Devanagari १२५१०१ Bengali ১২৫১০১ Tamil ௧௨௫௧௦௧ Thai ๑๒๕๑๐๑ Tibetan ༡༢༥༡༠༡ Khmer ១២៥១០១ Lao ໑໒໕໑໐໑ Burmese ၁၂၅၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 125107.

Unicode codepoint
𞢭
Mende Kikakui Syllable M171 Ra
U+1E8AD
Other letter (Lo)

UTF-8 encoding: F0 9E A2 AD (4 bytes).

Hex color
#01E8AD
RGB(1, 232, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.173.

Address
0.1.232.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.173

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 125,101 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 125101 first appears in π at position 362,724 of the decimal expansion (the 362,724ordinal-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.