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117,101

117,101 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.).

117,101 (one hundred seventeen 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, 0x1C96D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean 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
101,711
Square (n²)
13,712,644,201
Cube (n³)
1,605,764,348,581,301
Divisor count
2
σ(n) — sum of divisors
117,102
φ(n) — Euler's totient
117,100

Primality

117,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,101)
1 × 117101
First multiples
117,101 · 234,202 (double) · 351,303 · 468,404 · 585,505 · 702,606 · 819,707 · 936,808 · 1,053,909 · 1,171,010

Sums & aliquot sequence

As a sum of two squares: 205² + 274²
As consecutive integers: 58,550 + 58,551

Continued fraction of √n

√117,101 = [342; (4, 1, 170, 3, 3, 170, 1, 4, 684)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred one
Ordinal
117101st
Binary
11100100101101101
Octal
344555
Hexadecimal
0x1C96D
Base64
Aclt
One's complement
4,294,850,194 (32-bit)
Scientific notation
1.17101 × 10⁵
As a duration
117,101 s = 1 day, 8 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 12221122002
quaternary (4) 130211231
quinary (5) 12221401
senary (6) 2302045
septenary (7) 665255
nonary (9) 187562
undecimal (11) 7aa86
duodecimal (12) 57925
tridecimal (13) 413ba
tetradecimal (14) 30965
pentadecimal (15) 24a6b

As an angle

117,101° = 325 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ριζραʹ
Mayan (base 20)
𝋮·𝋬·𝋯·𝋡
Chinese
一十一萬七千一百零一
Chinese (financial)
壹拾壹萬柒仟壹佰零壹
In other modern scripts
Eastern Arabic ١١٧١٠١ Devanagari ११७१०१ Bengali ১১৭১০১ Tamil ௧௧௭௧௦௧ Thai ๑๑๗๑๐๑ Tibetan ༡༡༧༡༠༡ Khmer ១១៧១០១ Lao ໑໑໗໑໐໑ Burmese ၁၁၇၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C96D
RGB(1, 201, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.109.

Address
0.1.201.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.109

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 117,101 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 117101 first appears in π at position 36,739 of the decimal expansion (the 36,739ordinal-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.