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21320033322133 = 7138310127947761
BaseRepresentation
bin1001101100011111101010…
…00000110100010010010101
32210111011201210001011111201
410312033311000310102111
510243301412012302013
6113202142121232501
74330215205103260
oct466176500642225
983434653034451
1021320033322133
11687a858aa86a7
122483b70032731
13bb8616951c30
14539c762c3cd7
1526e8b290a3dd
hex1363f5034495

21320033322133 has 32 divisors (see below), whose sum is σ = 26819119579392. Its totient is φ = 16500357504000.

The previous prime is 21320033322127. The next prime is 21320033322149. The reversal of 21320033322133 is 33122333002312.

It is not a de Polignac number, because 21320033322133 - 25 = 21320033322101 is a prime.

It is a super-3 number, since 3×213200333221333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320033022133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13211028 + ... + 14736733.

It is an arithmetic number, because the mean of its divisors is an integer number (838097486856).

Almost surely, 221320033322133 is an apocalyptic number.

It is an amenable number.

21320033322133 is a deficient number, since it is larger than the sum of its proper divisors (5499086257259).

21320033322133 is a wasteful number, since it uses less digits than its factorization.

21320033322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27947965.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 21320033322133 its reverse (33122333002312), we get a palindrome (54442366324445).

The spelling of 21320033322133 in words is "twenty-one trillion, three hundred twenty billion, thirty-three million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 13 83 91 101 581 707 1079 1313 7553 8383 9191 58681 108979 762853 27947761 195634327 363320893 2319664163 2543246251 2822723861 16237649141 19759067027 30155634119 36695410193 211089438833 234286080463 256867871351 1640002563241 3045719046019 21320033322133