Search a number
-
+
11102104320 = 283517198951
BaseRepresentation
bin10100101011011110…
…01010101100000000
31001122201120100000220
422111233022230000
5140214114314240
65033352343040
7542056221036
oct122557125400
931581510026
1011102104320
11478793732a
12219a0a4a80
13107c126bc8
1477468c556
1544ea0c5d0
hex295bcab00

11102104320 has 288 divisors, whose sum is σ = 39523438080. Its totient is φ = 2639462400.

The previous prime is 11102104267. The next prime is 11102104367. The reversal of 11102104320 is 2340120111.

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 11102104320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235845 + ... + 1244795.

It is an arithmetic number, because the mean of its divisors is an integer number (137234160).

Almost surely, 211102104320 is an apocalyptic number.

11102104320 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 11102104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19761719040).

11102104320 is an abundant number, since it is smaller than the sum of its proper divisors (28421333760).

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

11102104320 is a wasteful number, since it uses less digits than its factorization.

11102104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11102104320 its reverse (2340120111), we get a palindrome (13442224431).

The spelling of 11102104320 in words is "eleven billion, one hundred two million, one hundred four thousand, three hundred twenty".