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101,921

101,921 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.).

101,921 (one hundred one thousand nine hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18E21.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
129,101
Square (n²)
10,387,890,241
Cube (n³)
1,058,744,161,252,961
Divisor count
2
σ(n) — sum of divisors
101,922
φ(n) — Euler's totient
101,920

Primality

101,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,921)
1 × 101921
First multiples
101,921 · 203,842 (double) · 305,763 · 407,684 · 509,605 · 611,526 · 713,447 · 815,368 · 917,289 · 1,019,210

Sums & aliquot sequence

As a sum of two squares: 215² + 236²
As consecutive integers: 50,960 + 50,961

Continued fraction of √n

√101,921 = [319; (3, 1, 90, 2, 6, 1, 1, 12, 2, 48, 1, 1, 1, 2, 1, 4, 6, 1, 4, 7, 1, 7, 9, 1, …)]

Representations

In words
one hundred one thousand nine hundred twenty-one
Ordinal
101921st
Binary
11000111000100001
Octal
307041
Hexadecimal
0x18E21
Base64
AY4h
One's complement
4,294,865,374 (32-bit)
Scientific notation
1.01921 × 10⁵
As a duration
101,921 s = 1 day, 4 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 12011210212
quaternary (4) 120320201
quinary (5) 11230141
senary (6) 2103505
septenary (7) 603101
nonary (9) 164725
undecimal (11) 6a636
duodecimal (12) 4ab95
tridecimal (13) 37511
tetradecimal (14) 29201
pentadecimal (15) 202eb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ραϡκαʹ
Mayan (base 20)
𝋬·𝋮·𝋰·𝋡
Chinese
一十萬一千九百二十一
Chinese (financial)
壹拾萬壹仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٠١٩٢١ Devanagari १०१९२१ Bengali ১০১৯২১ Tamil ௧௦௧௯௨௧ Thai ๑๐๑๙๒๑ Tibetan ༡༠༡༩༢༡ Khmer ១០១៩២១ Lao ໑໐໑໙໒໑ Burmese ၁၀၁၉၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 101917.

Hex color
#018E21
RGB(1, 142, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.33.

Address
0.1.142.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.33

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 101,921 and was likely granted around 1870.

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

Position in π

The digit sequence 101921 first appears in π at position 900,328 of the decimal expansion (the 900,328ordinal-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.