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13205403420 = 22351120008187
BaseRepresentation
bin11000100110001101…
…00111011100011100
31021002022021222222120
430103012213130130
5204021040402140
610022205342540
7645146035266
oct142306473434
937068258876
1013205403420
115667119050
122686567a50
131325acb5a1
148d3b56b36
155244c71d0
hex3131a771c

13205403420 has 48 divisors (see below), whose sum is σ = 40336507008. Its totient is φ = 3201309760.

The previous prime is 13205403377. The next prime is 13205403437. The reversal of 13205403420 is 2430450231.

13205403420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10003434 + ... + 10004753.

It is an arithmetic number, because the mean of its divisors is an integer number (840343896).

Almost surely, 213205403420 is an apocalyptic number.

13205403420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205403420 is an abundant number, since it is smaller than the sum of its proper divisors (27131103588).

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

13205403420 is a wasteful number, since it uses less digits than its factorization.

13205403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20008210 (or 20008208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13205403420 its reverse (2430450231), we get a palindrome (15635853651).

The spelling of 13205403420 in words is "thirteen billion, two hundred five million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 20008187 40016374 60024561 80032748 100040935 120049122 200081870 220090057 240098244 300122805 400163740 440180114 600245610 660270171 880360228 1100450285 1200491220 1320540342 2200900570 2641080684 3301350855 4401801140 6602701710 13205403420