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11003993210880 = 21432567331673
BaseRepresentation
bin1010000000100001000100…
…0110110100000000000000
31102221222020012120210211200
42200020101012310000000
52420242134230222010
635223055323541200
72214004132002465
oct240102106640000
942858205523750
1011003993210880
11356284932639a
12129879308a800
1361a897809527
142a084ba3d66c
1514138c03ccc0
hexa02111b4000

11003993210880 has 720 divisors, whose sum is σ = 38890020921024. Its totient is φ = 2877586145280.

The previous prime is 11003993210843. The next prime is 11003993210893. The reversal of 11003993210880 is 8801239930011.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16350658224 + ... + 16350658896.

Almost surely, 211003993210880 is an apocalyptic number.

11003993210880 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 11003993210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445010460512).

11003993210880 is an abundant number, since it is smaller than the sum of its proper divisors (27886027710144).

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

11003993210880 is an equidigital number, since it uses as much as digits as its factorization.

11003993210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11003993210880 in words is "eleven trillion, three billion, nine hundred ninety-three million, two hundred ten thousand, eight hundred eighty".