Search a number
-
+
2000110000200 = 2335213373968581
BaseRepresentation
bin11101000110101111110…
…110001001100001001000
321002012122002211102212120
4131012233312021201020
5230232211130001300
64130500550411240
7264334406330244
oct35065766114110
97065562742776
102000110000200
11701272a52644
12283774960b20
131167c0299850
146cb3d325424
15370629aa3a0
hex1d1afd89848

2000110000200 has 192 divisors, whose sum is σ = 6679173547200. Its totient is φ = 492195916800.

The previous prime is 2000110000199. The next prime is 2000110000223. The reversal of 2000110000200 is 20000110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 29129910 + ... + 29198490.

It is an arithmetic number, because the mean of its divisors is an integer number (34787362225).

Almost surely, 22000110000200 is an apocalyptic number.

2000110000200 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 2000110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339586773600).

2000110000200 is an abundant number, since it is smaller than the sum of its proper divisors (4679063547000).

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

2000110000200 is a wasteful number, since it uses less digits than its factorization.

2000110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72352 (or 72343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2000110000200 its reverse (20000110002), we get a palindrome (2020110110202).

The spelling of 2000110000200 in words is "two trillion, one hundred ten million, two hundred", and thus it is an aban number.