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13220220200 = 23521189251269
BaseRepresentation
bin11000100111111110…
…01000110100101000
31021010100011202210012
430103333020310220
5204033334021300
610023455111052
7645416006015
oct142377106450
937110152705
1013220220200
115674519120
12268b512488
131328bb8705
148d5ad270c
15525952435
hex313fc8d28

13220220200 has 192 divisors, whose sum is σ = 34169688000. Its totient is φ = 4716800000.

The previous prime is 13220220199. The next prime is 13220220217. The reversal of 13220220200 is 202202231.

13220220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 49145666 + ... + 49145934.

It is an arithmetic number, because the mean of its divisors is an integer number (177967125).

Almost surely, 213220220200 is an apocalyptic number.

13220220200 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 13220220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084844000).

13220220200 is an abundant number, since it is smaller than the sum of its proper divisors (20949467800).

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

13220220200 is a wasteful number, since it uses less digits than its factorization.

13220220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 13220220200 its reverse (202202231), we get a palindrome (13422422431).

The spelling of 13220220200 in words is "thirteen billion, two hundred twenty million, two hundred twenty thousand, two hundred".