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201012210103200 = 253522917916134673
BaseRepresentation
bin101101101101000111001101…
…011000001111001110100000
3222100201120122112111222210220
4231231013031120033032200
5202321341001241300300
61551303422352523040
760224436645244206
oct5555071530171640
9870646575458726
10201012210103200
1159059888253521
121a66561a550480
1388214a70a3052
14378d08593b076
151838bc7728da0
hexb6d1cd60f3a0

201012210103200 has 288 divisors, whose sum is σ = 680637995755200. Its totient is φ = 51465731358720.

The previous prime is 201012210103109. The next prime is 201012210103219. The reversal of 201012210103200 is 2301012210102.

201012210103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010122101032002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012210103200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4391064 + ... + 20525736.

It is an arithmetic number, because the mean of its divisors is an integer number (2363326374150).

Almost surely, 2201012210103200 is an apocalyptic number.

201012210103200 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 201012210103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340318997877600).

201012210103200 is an abundant number, since it is smaller than the sum of its proper divisors (479625785652000).

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

201012210103200 is a wasteful number, since it uses less digits than its factorization.

201012210103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134904 (or 16134891 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201012210103200 its reverse (2301012210102), we get a palindrome (203313222313302).

The spelling of 201012210103200 in words is "two hundred one trillion, twelve billion, two hundred ten million, one hundred three thousand, two hundred".