Search a number
-
+
11102210280 = 2332573471913
BaseRepresentation
bin10100101011011111…
…00100100011101000
31001122201202201101100
422111233210203220
5140214131212110
65033354521400
7542060142000
oct122557444350
931581681340
1011102210280
1147879a99a7
12219a136260
13107c1631c5
147746b9000
1544ea2dbc0
hex295be48e8

11102210280 has 384 divisors, whose sum is σ = 42996096000. Its totient is φ = 2482357248.

The previous prime is 11102210263. The next prime is 11102210293. The reversal of 11102210280 is 8201220111.

11102210280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5802604 + ... + 5804516.

It is an arithmetic number, because the mean of its divisors is an integer number (111969000).

Almost surely, 211102210280 is an apocalyptic number.

11102210280 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 11102210280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498048000).

11102210280 is an abundant number, since it is smaller than the sum of its proper divisors (31893885720).

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

11102210280 is a wasteful number, since it uses less digits than its factorization.

11102210280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102210280 its reverse (8201220111), we get a palindrome (19303430391).

The spelling of 11102210280 in words is "eleven billion, one hundred two million, two hundred ten thousand, two hundred eighty".