Search a number
-
+
1200110211300 = 223527111310973643
BaseRepresentation
bin10001011101101100001…
…001001001000011100100
311020201200202002102110110
4101131230021021003210
5124130311203230200
62315153434453020
7152463564324540
oct21355411110344
94221622072413
101200110211300
11422a66a22510
1217470a594170
13892293952b0
144212b016a20
152133e70ab50
hex1176c2490e4

1200110211300 has 576 divisors, whose sum is σ = 4667665250304. Its totient is φ = 229918003200.

The previous prime is 1200110211269. The next prime is 1200110211323. The reversal of 1200110211300 is 31120110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329427279 + ... + 329430921.

It is an arithmetic number, because the mean of its divisors is an integer number (8103585504).

Almost surely, 21200110211300 is an apocalyptic number.

1200110211300 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 1200110211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333832625152).

1200110211300 is an abundant number, since it is smaller than the sum of its proper divisors (3467555039004).

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

1200110211300 is a wasteful number, since it uses less digits than its factorization.

1200110211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1200110211300 its reverse (31120110021), we get a palindrome (1231230321321).

The spelling of 1200110211300 in words is "one trillion, two hundred billion, one hundred ten million, two hundred eleven thousand, three hundred".