Search a number
-
+
2000323210200 = 2335271249381319
BaseRepresentation
bin11101000110111100100…
…011011110101111011000
321002020011222000122000020
4131012330203132233120
5230233130220211300
64130534044310440
7264342605513610
oct35067443365730
97066158018006
102000323210200
11701372338457
12283814242420
131168254ca803
146cb5d785a40
15370765738a0
hex1d1bc8debd8

2000323210200 has 192 divisors, whose sum is σ = 7092552000000. Its totient is φ = 456849469440.

The previous prime is 2000323210169. The next prime is 2000323210201. The reversal of 2000323210200 is 20123230002.

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 2000323210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000323210201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5055141 + ... + 5436459.

It is an arithmetic number, because the mean of its divisors is an integer number (36940375000).

Almost surely, 22000323210200 is an apocalyptic number.

2000323210200 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 2000323210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546276000000).

2000323210200 is an abundant number, since it is smaller than the sum of its proper divisors (5092228789800).

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

2000323210200 is a wasteful number, since it uses less digits than its factorization.

2000323210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382594 (or 382585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2000323210200 its reverse (20123230002), we get a palindrome (2020446440202).

The spelling of 2000323210200 in words is "two trillion, three hundred twenty-three million, two hundred ten thousand, two hundred".