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101,891

101,891 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.).

101,891 (one hundred one thousand eight hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18E03.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
198,101
Flips to (rotate 180°)
168,101
Square (n²)
10,381,775,881
Cube (n³)
1,057,809,526,290,971
Divisor count
2
σ(n) — sum of divisors
101,892
φ(n) — Euler's totient
101,890

Primality

101,891 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101891
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,891)
1 × 101891
First multiples
101,891 · 203,782 (double) · 305,673 · 407,564 · 509,455 · 611,346 · 713,237 · 815,128 · 917,019 · 1,018,910

Sums & aliquot sequence

As consecutive integers: 50,945 + 50,946

Continued fraction of √n

√101,891 = [319; (4, 1, 10, 49, 63, 1, 4, 1, 1, 3, 4, 3, 4, 1, 1, 1, 1, 24, 1, 12, 1, 11, 8, 1, …)]

Representations

In words
one hundred one thousand eight hundred ninety-one
Ordinal
101891st
Binary
11000111000000011
Octal
307003
Hexadecimal
0x18E03
Base64
AY4D
One's complement
4,294,865,404 (32-bit)
Scientific notation
1.01891 × 10⁵
As a duration
101,891 s = 1 day, 4 hours, 18 minutes, 11 seconds
In other bases
ternary (3) 12011202202
quaternary (4) 120320003
quinary (5) 11230031
senary (6) 2103415
septenary (7) 603026
nonary (9) 164682
undecimal (11) 6a609
duodecimal (12) 4ab6b
tridecimal (13) 374ba
tetradecimal (14) 291bd
pentadecimal (15) 202cb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραωϟαʹ
Mayan (base 20)
𝋬·𝋮·𝋮·𝋫
Chinese
一十萬一千八百九十一
Chinese (financial)
壹拾萬壹仟捌佰玖拾壹
In other modern scripts
Eastern Arabic ١٠١٨٩١ Devanagari १०१८९१ Bengali ১০১৮৯১ Tamil ௧௦௧௮௯௧ Thai ๑๐๑๘๙๑ Tibetan ༡༠༡༨༩༡ Khmer ១០១៨៩១ Lao ໑໐໑໘໙໑ Burmese ၁၀၁၈၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018E03
RGB(1, 142, 3)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.3.

Address
0.1.142.3
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.3

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 101,891 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.