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13333140020 = 22523142320369
BaseRepresentation
bin11000110101011011…
…11001001000110100
31021102012122200122202
430122231321020310
5204301240440040
610043011244032
7651256551224
oct143255711064
937365580582
1013333140020
115722234492
1227012a9618
131346403a85
14906ac8084
1553080a015
hex31ab79234

13333140020 has 48 divisors (see below), whose sum is σ = 29238935040. Its totient is φ = 5097540096.

The previous prime is 13333140013. The next prime is 13333140077. The reversal of 13333140020 is 2004133331.

13333140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13333139974 and 13333140001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644396 + ... + 664764.

It is an arithmetic number, because the mean of its divisors is an integer number (609144480).

Almost surely, 213333140020 is an apocalyptic number.

13333140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13333140020 is an abundant number, since it is smaller than the sum of its proper divisors (15905795020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13333140020 is a wasteful number, since it uses less digits than its factorization.

13333140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21822 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13333140020 its reverse (2004133331), we get a palindrome (15337273351).

The spelling of 13333140020 in words is "thirteen billion, three hundred thirty-three million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1423 2846 5692 7115 14230 20369 28460 32729 40738 65458 81476 101845 130916 163645 203690 327290 407380 468487 654580 936974 1873948 2342435 4684870 9369740 28985087 57970174 115940348 144925435 289850870 579701740 666657001 1333314002 2666628004 3333285005 6666570010 13333140020