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11002003200 = 283452191117
BaseRepresentation
bin10100011111100010…
…10011111100000000
31001101202012200010000
422033301103330000
5140013003100300
65015415040000
7536432325036
oct121761237400
931352180100
1011002003200
114736386931
122170670000
131064479386
14765272556
15445d37c00
hex28fc53f00

11002003200 has 540 divisors, whose sum is σ = 42858775960. Its totient is φ = 2776965120.

The previous prime is 11002003189. The next prime is 11002003223. The reversal of 11002003200 is 230020011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849042 + ... + 9850158.

Almost surely, 211002003200 is an apocalyptic number.

11002003200 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 11002003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21429387980).

11002003200 is an abundant number, since it is smaller than the sum of its proper divisors (31856772760).

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

11002003200 is a wasteful number, since it uses less digits than its factorization.

11002003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11002003200 its reverse (230020011), we get a palindrome (11232023211).

The spelling of 11002003200 in words is "eleven billion, two million, three thousand, two hundred".