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21303001003333 = 721867012328617
BaseRepresentation
bin1001101011111111111011…
…10011101011010101000101
32210102112202202201201112111
410311333331303223111011
510243012021224101313
6113150244043421021
74326043136555200
oct465777563532505
983375682651474
1021303001003333
116873608775475
1224807b7b24771
13bb6b3105429a
145390dc1d0937
1526e21749c43d
hex135ffdceb545

21303001003333 has 12 divisors (see below), whose sum is σ = 24781185356652. Its totient is φ = 18259609502400.

The previous prime is 21303001003303. The next prime is 21303001003381. The reversal of 21303001003333 is 33330010030312.

It can be written as a sum of positive squares in 2 ways, for example, as 6823134324769 + 14479866678564 = 2612113^2 + 3805242^2 .

It is a de Polignac number, because none of the positive numbers 2k-21303001003333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303001003303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7984041 + ... + 10312657.

It is an arithmetic number, because the mean of its divisors is an integer number (2065098779721).

Almost surely, 221303001003333 is an apocalyptic number.

It is an amenable number.

21303001003333 is a deficient number, since it is larger than the sum of its proper divisors (3478184353319).

21303001003333 is a wasteful number, since it uses less digits than its factorization.

21303001003333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515332 (or 2515325 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 21303001003333 its reverse (33330010030312), we get a palindrome (54633011033645).

The spelling of 21303001003333 in words is "twenty-one trillion, three hundred three billion, one million, three thousand, three hundred thirty-three".

Divisors: 1 7 49 186701 1306907 2328617 9148349 16300319 114102233 434755122517 3043285857619 21303001003333