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1100022243320 = 2357112138330091
BaseRepresentation
bin10000000000011110011…
…011110101111111111000
310220011100102220211211102
4100000132123311333320
5121010321143241240
62201202050150532
7142321401535610
oct20003633657770
93804312824742
101100022243320
11394575973800
12159237282448
137c9685957c0
143b354417a40
151d9328e6815
hex1001e6f5ff8

1100022243320 has 384 divisors, whose sum is σ = 3388773265920. Its totient is φ = 312666393600.

The previous prime is 1100022243289. The next prime is 1100022243329. The reversal of 1100022243320 is 233422200011.

It is a super-3 number, since 3×11000222433203 (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100022243292 and 1100022243301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100022243329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36541475 + ... + 36571565.

It is an arithmetic number, because the mean of its divisors is an integer number (8824930380).

Almost surely, 21100022243320 is an apocalyptic number.

1100022243320 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 1100022243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694386632960).

1100022243320 is an abundant number, since it is smaller than the sum of its proper divisors (2288751022600).

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

1100022243320 is a wasteful number, since it uses less digits than its factorization.

1100022243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30227 (or 30212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1100022243320 its reverse (233422200011), we get a palindrome (1333444443331).

The spelling of 1100022243320 in words is "one trillion, one hundred billion, twenty-two million, two hundred forty-three thousand, three hundred twenty".