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110311000200 = 23345241166081
BaseRepresentation
bin110011010111100001…
…1000100100010001000
3101112201202121102110000
41212233003010202020
53301404104001300
6122402015323000
710653416013402
oct1465703044210
9345652542400
10110311000200
1142867758175
1219466b20460
13a52ca798ab
1454a661bb72
152d0957ac00
hex19af0c4888

110311000200 has 240 divisors, whose sum is σ = 392473356660. Its totient is φ = 28698624000.

The previous prime is 110311000193. The next prime is 110311000237. The reversal of 110311000200 is 2000113011.

It can be written as a sum of positive squares in 6 ways, for example, as 7643305476 + 102667694724 = 87426^2 + 320418^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 581160 + ... + 747240.

Almost surely, 2110311000200 is an apocalyptic number.

110311000200 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 110311000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196236678330).

110311000200 is an abundant number, since it is smaller than the sum of its proper divisors (282162356460).

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

110311000200 is a wasteful number, since it uses less digits than its factorization.

110311000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166150 (or 166132 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110311000200 its reverse (2000113011), we get a palindrome (112311113211).

The spelling of 110311000200 in words is "one hundred ten billion, three hundred eleven million, two hundred", and thus it is an aban number.