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243424201020 = 22357111337109541
BaseRepresentation
bin1110001010110100110…
…1101000100100111100
3212021022122120122201220
43202231031220210330
512442013043413040
6303454425233340
723405164366110
oct3425515504474
9767278518656
10243424201020
1194265685140
123b216332850
1319c5491bb90
14bad3359740
1564ea8942d0
hex38ad36893c

243424201020 has 384 divisors, whose sum is σ = 939880876032. Its totient is φ = 45428428800.

The previous prime is 243424201003. The next prime is 243424201021. The reversal of 243424201020 is 20102424342.

243424201020 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 (243424201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2167450 + ... + 2276990.

It is an arithmetic number, because the mean of its divisors is an integer number (2447606448).

Almost surely, 2243424201020 is an apocalyptic number.

243424201020 is a gapful number since it is divisible by the number (20) 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 243424201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469940438016).

243424201020 is an abundant number, since it is smaller than the sum of its proper divisors (696456675012).

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

243424201020 is a wasteful number, since it uses less digits than its factorization.

243424201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109621 (or 109619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 243424201020 its reverse (20102424342), we get a palindrome (263526625362).

It can be divided in two parts, 243424 and 201020, that added together give a palindrome (444444).

The spelling of 243424201020 in words is "two hundred forty-three billion, four hundred twenty-four million, two hundred one thousand, twenty".