Search a number
-
+
110202113321300 = 2252711136311744723
BaseRepresentation
bin11001000011101001101101…
…110100010110100101010100
3112110012012220202102022102202
4121003221231310112211110
5103421022412002240200
61030214052453424032
732132561046432260
oct3103515564264524
9473165822368382
10110202113321300
11321284aa008a20
1210439aa893b018
1349650263939c0
141d2db4c9790a0
15cb19234811d5
hex643a6dd16954

110202113321300 has 288 divisors, whose sum is σ = 321590207576064. Its totient is φ = 31656235968000.

The previous prime is 110202113321299. The next prime is 110202113321351. The reversal of 110202113321300 is 3123311202011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62290739 + ... + 64035461.

Almost surely, 2110202113321300 is an apocalyptic number.

110202113321300 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 110202113321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160795103788032).

110202113321300 is an abundant number, since it is smaller than the sum of its proper divisors (211388094254764).

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

110202113321300 is a wasteful number, since it uses less digits than its factorization.

110202113321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745399 (or 1745392 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110202113321300 its reverse (3123311202011), we get a palindrome (113325424523311).

The spelling of 110202113321300 in words is "one hundred ten trillion, two hundred two billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred".