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21241313300313 = 339372692731181
BaseRepresentation
bin1001101010001101000001…
…11011110000111101011001
32210012122112122102201111000
410311012200323300331121
510241004202201102223
6113102042530055213
74321430355002421
oct465064073607531
983178478381430
1021241313300313
11684a432664127
122470860a1a509
13bb107ca64a72
14536129537481
1526c8069c4543
hex1351a0ef0f59

21241313300313 has 32 divisors (see below), whose sum is σ = 31504376977920. Its totient is φ = 14144783552640.

The previous prime is 21241313300303. The next prime is 21241313300329. The reversal of 21241313300313 is 31300331314212.

21241313300313 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 313 + 30 + 0 + 313 = 666.

It is not a de Polignac number, because 21241313300313 - 216 = 21241313234777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21241313300303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681210583 + ... + 681241763.

It is an arithmetic number, because the mean of its divisors is an integer number (984511780560).

Almost surely, 221241313300313 is an apocalyptic number.

It is an amenable number.

21241313300313 is a deficient number, since it is larger than the sum of its proper divisors (10263063677607).

21241313300313 is a wasteful number, since it uses less digits than its factorization.

21241313300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59054 (or 59048 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21241313300313 its reverse (31300331314212), we get a palindrome (52541644614525).

The spelling of 21241313300313 in words is "twenty-one trillion, two hundred forty-one billion, three hundred thirteen million, three hundred thousand, three hundred thirteen".

Divisors: 1 3 9 27 937 2811 8433 25299 26927 31181 80781 93543 242343 280629 727029 841887 25230599 29216597 75691797 87649791 227075391 262949373 681226173 788848119 839610787 2518832361 7556497083 22669491249 786715307419 2360145922257 7080437766771 21241313300313