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202002122010020 = 22510100106100501
BaseRepresentation
bin101101111011100001001000…
…101110011110110110100100
3222111020012210012102012001012
4231323201020232132312210
5202434100321213310040
61553342254352321352
760356112615516653
oct5573411056366644
9874205705365035
10202002122010020
1159400689765722
121a7a5445b43258
138893945349387
1437c4d5224d19a
1518548134d0865
hexb7b848b9eda4

202002122010020 has 12 divisors (see below), whose sum is σ = 424204456221084. Its totient is φ = 80800848804000.

The previous prime is 202002122009993. The next prime is 202002122010043. The reversal of 202002122010020 is 20010221200202.

202002122010020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135551811299584 + 66450310710436 = 11642672^2 + 8151706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202002122009977 and 202002122010004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050053050231 + ... + 5050053050270.

It is an arithmetic number, because the mean of its divisors is an integer number (35350371351757).

Almost surely, 2202002122010020 is an apocalyptic number.

202002122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002122010020 is an abundant number, since it is smaller than the sum of its proper divisors (222202334211064).

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

202002122010020 is a wasteful number, since it uses less digits than its factorization.

202002122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100106100510 (or 10100106100508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202002122010020 its reverse (20010221200202), we get a palindrome (222012343210222).

The spelling of 202002122010020 in words is "two hundred two trillion, two billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 10100106100501 20200212201002 40400424402004 50500530502505 101001061005010 202002122010020