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11035352000 = 26531979919
BaseRepresentation
bin10100100011100001…
…00001101111000000
31001111001221222001202
422101300201233000
5140100022231000
65023005520332
7540315641621
oct122160415700
931431858052
1011035352000
114753194322
12217b8730a8
13106b3546aa
14769873a48
15448c23dd5
hex291c21bc0

11035352000 has 224 divisors, whose sum is σ = 29163264000. Its totient is φ = 4124390400.

The previous prime is 11035351979. The next prime is 11035352023. The reversal of 11035352000 is 25353011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12007541 + ... + 12008459.

Almost surely, 211035352000 is an apocalyptic number.

11035352000 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 11035352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581632000).

11035352000 is an abundant number, since it is smaller than the sum of its proper divisors (18127912000).

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

11035352000 is an equidigital number, since it uses as much as digits as its factorization.

11035352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 11035352000 in words is "eleven billion, thirty-five million, three hundred fifty-two thousand".