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1001110012200 = 233352191396911
BaseRepresentation
bin11101001000101101100…
…11101000000100101000
310112201001002002212222000
432210112303220010220
5112400233130342300
62043523101531000
7132220303462134
oct16442663500450
93481032085860
101001110012200
11356628559551
12142031873a60
13735342437ac
143664da303c4
151b093e28c00
hexe916ce8128

1001110012200 has 192 divisors, whose sum is σ = 3450105964800. Its totient is φ = 266820364800.

The previous prime is 1001110012193. The next prime is 1001110012223. The reversal of 1001110012200 is 22100111001.

It is a happy number.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10281745 + ... + 10378655.

It is an arithmetic number, because the mean of its divisors is an integer number (17969301900).

Almost surely, 21001110012200 is an apocalyptic number.

1001110012200 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 1001110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725052982400).

1001110012200 is an abundant number, since it is smaller than the sum of its proper divisors (2448995952600).

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

1001110012200 is a wasteful number, since it uses less digits than its factorization.

1001110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98849 (or 98834 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110012200 its reverse (22100111001), we get a palindrome (1023210123201).

The spelling of 1001110012200 in words is "one trillion, one billion, one hundred ten million, twelve thousand, two hundred".