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20201344020 = 223251113273827
BaseRepresentation
bin10010110100000110…
…000000110000010100
31221010212101121022200
4102310012000300110
5312333021002040
613140320524500
71313415406464
oct226406006024
957125347280
1020201344020
11862714a840
123ab9480730
131b9c312900
14d98d37ba4
157d378d630
hex4b4180c14

20201344020 has 432 divisors, whose sum is σ = 73466108352. Its totient is φ = 4453263360.

The previous prime is 20201343937. The next prime is 20201344039. The reversal of 20201344020 is 2044310202.

20201344020 is a `hidden beast` number, since 2 + 0 + 201 + 3 + 440 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201343984 and 20201344002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24426847 + ... + 24427673.

It is an arithmetic number, because the mean of its divisors is an integer number (170060436).

Almost surely, 220201344020 is an apocalyptic number.

20201344020 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 20201344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36733054176).

20201344020 is an abundant number, since it is smaller than the sum of its proper divisors (53264764332).

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

20201344020 is a wasteful number, since it uses less digits than its factorization.

20201344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20201344020 its reverse (2044310202), we get a palindrome (22245654222).

The spelling of 20201344020 in words is "twenty billion, two hundred one million, three hundred forty-four thousand, twenty".