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1103222002000 = 2453232959107131
BaseRepresentation
bin10000000011011101001…
…001111101000101010000
310220110121102211102120011
4100003131021331011100
5121033344313031000
62202451352124304
7142463604202246
oct20033511750520
93813542742504
101103222002000
11395968071868
1215998a996694
138005847b531
143b57937c796
151da6d7982ba
hex100dd27d150

1103222002000 has 640 divisors, whose sum is σ = 2978295091200. Its totient is φ = 393865472000.

The previous prime is 1103222001953. The next prime is 1103222002009. The reversal of 1103222002000 is 2002223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103222002009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8421541935 + ... + 8421542065.

It is an arithmetic number, because the mean of its divisors is an integer number (4653586080).

Almost surely, 21103222002000 is an apocalyptic number.

1103222002000 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 1103222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489147545600).

1103222002000 is an abundant number, since it is smaller than the sum of its proper divisors (1875073089200).

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

1103222002000 is a wasteful number, since it uses less digits than its factorization.

1103222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1103222002000 its reverse (2002223011), we get a palindrome (1105224225011).

The spelling of 1103222002000 in words is "one trillion, one hundred three billion, two hundred twenty-two million, two thousand".