Search a number
-
+
1100022110000 = 24541122943669
BaseRepresentation
bin10000000000011110011…
…011010101011100110000
310220011100102200001221122
4100000132123111130300
5121010321130010000
62201202043241412
7142321400442122
oct20003633253460
93804312601848
101100022110000
11394575892620
12159237219268
137c968549c08
143b3543c1212
151d9328bc085
hex1001e6d5730

1100022110000 has 200 divisors, whose sum is σ = 2918132461200. Its totient is φ = 398252160000.

The previous prime is 1100022109999. The next prime is 1100022110029. The reversal of 1100022110000 is 112200011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1100022110000.

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 39 ways as a sum of consecutive naturals, for example, 25168166 + ... + 25211834.

It is an arithmetic number, because the mean of its divisors is an integer number (14590662306).

Almost surely, 21100022110000 is an apocalyptic number.

1100022110000 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 1100022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459066230600).

1100022110000 is an abundant number, since it is smaller than the sum of its proper divisors (1818110351200).

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

1100022110000 is a wasteful number, since it uses less digits than its factorization.

1100022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43937 (or 43916 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1100022110000 its reverse (112200011), we get a palindrome (1100134310011).

The spelling of 1100022110000 in words is "one trillion, one hundred billion, twenty-two million, one hundred ten thousand".