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13143343420 = 2253170130241
BaseRepresentation
bin11000011110110011…
…11000000100111100
31020220222112000200001
430033121320010330
5203404143442140
610012111244044
7643463401324
oct141731700474
936828460601
1013143343420
115635090499
122669819624
131315cacaac
148c9800284
1551dd18e9a
hex30f67813c

13143343420 has 48 divisors (see below), whose sum is σ = 28532964096. Its totient is φ = 5080320000.

The previous prime is 13143343379. The next prime is 13143343427. The reversal of 13143343420 is 2434334131.

13143343420 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 not an unprimeable number, because it can be changed into a prime (13143343427) by changing a digit.

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, 419500 + ... + 449740.

It is an arithmetic number, because the mean of its divisors is an integer number (594436752).

Almost surely, 213143343420 is an apocalyptic number.

13143343420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266482048).

13143343420 is an abundant number, since it is smaller than the sum of its proper divisors (15389620676).

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

13143343420 is a wasteful number, since it uses less digits than its factorization.

13143343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30982 (or 30980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13143343420 its reverse (2434334131), we get a palindrome (15577677551).

The spelling of 13143343420 in words is "thirteen billion, one hundred forty-three million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 701 1402 2804 3505 7010 14020 21731 30241 43462 60482 86924 108655 120964 151205 217310 302410 434620 604820 937471 1874942 3749884 4687355 9374710 18749420 21198941 42397882 84795764 105994705 211989410 423978820 657167171 1314334342 2628668684 3285835855 6571671710 13143343420