Search a number
-
+
203301320200000 = 265511214715711
BaseRepresentation
bin101110001110011011000110…
…111110010000111101000000
3222122211102020120000110200221
4232032123012332100331000
5203121342100432400000
62000215200454352424
760552015144105661
oct5616330676207500
9878742216013627
10203301320200000
1159861673220100
121a9751a895b714
1389593032a8ac9
14382bb9d11b368
151878501d2261a
hexb8e6c6f90f40

203301320200000 has 504 divisors, whose sum is σ = 554732498847744. Its totient is φ = 73864560000000.

The previous prime is 203301320199959. The next prime is 203301320200001. The reversal of 203301320200000 is 2023103302.

203301320200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203301320200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35598197145 + ... + 35598202855.

It is an arithmetic number, because the mean of its divisors is an integer number (1100659719936).

Almost surely, 2203301320200000 is an apocalyptic number.

203301320200000 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 203301320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277366249423872).

203301320200000 is an abundant number, since it is smaller than the sum of its proper divisors (351431178647744).

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

203301320200000 is an equidigital number, since it uses as much as digits as its factorization.

203301320200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 203301320200000 its reverse (2023103302), we get a palindrome (203303343303302).

The spelling of 203301320200000 in words is "two hundred three trillion, three hundred one billion, three hundred twenty million, two hundred thousand".