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116,201

116,201 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.).

116,201 (one hundred sixteen 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, 0x1C5E9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean 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
102,611
Square (n²)
13,502,672,401
Cube (n³)
1,569,024,035,668,601
Divisor count
2
σ(n) — sum of divisors
116,202
φ(n) — Euler's totient
116,200

Primality

116,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,201)
1 × 116201
First multiples
116,201 · 232,402 (double) · 348,603 · 464,804 · 581,005 · 697,206 · 813,407 · 929,608 · 1,045,809 · 1,162,010

Sums & aliquot sequence

As a sum of two squares: 160² + 301²
As consecutive integers: 58,100 + 58,101

Continued fraction of √n

√116,201 = [340; (1, 7, 1, 1, 10, 8, 8, 2, 1, 1, 26, 1, 2, 12, 1, 1, 9, 12, 14, 2, 2, 1, 2, 1, …)]

Representations

In words
one hundred sixteen thousand two hundred one
Ordinal
116201st
Binary
11100010111101001
Octal
342751
Hexadecimal
0x1C5E9
Base64
AcXp
One's complement
4,294,851,094 (32-bit)
Scientific notation
1.16201 × 10⁵
As a duration
116,201 s = 1 day, 8 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 12220101202
quaternary (4) 130113221
quinary (5) 12204301
senary (6) 2253545
septenary (7) 662531
nonary (9) 186352
undecimal (11) 7a338
duodecimal (12) 572b5
tridecimal (13) 40b77
tetradecimal (14) 304c1
pentadecimal (15) 2466b

As an angle

116,201° = 322 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ριϛσαʹ
Mayan (base 20)
𝋮·𝋪·𝋪·𝋡
Chinese
一十一萬六千二百零一
Chinese (financial)
壹拾壹萬陸仟貳佰零壹
In other modern scripts
Eastern Arabic ١١٦٢٠١ Devanagari ११६२०१ Bengali ১১৬২০১ Tamil ௧௧௬௨௦௧ Thai ๑๑๖๒๐๑ Tibetan ༡༡༦༢༠༡ Khmer ១១៦២០១ Lao ໑໑໖໒໐໑ Burmese ၁၁၆၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C5E9
RGB(1, 197, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.233.

Address
0.1.197.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.233

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 116,201 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 116201 first appears in π at position 294,920 of the decimal expansion (the 294,920ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.