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1100020120200 = 23325219179179689
BaseRepresentation
bin10000000000011110010…
…011101111101010001000
310220011100021220222110100
4100000132103233222020
5121010320122321300
62201201532445400
7142321344514011
oct20003623575210
93804307828410
101100020120200
11394574753661
12159236619860
137c968001311
143b354024008
151d932627700
hex1001e4efa88

1100020120200 has 288 divisors, whose sum is σ = 3910413780000. Its totient is φ = 276345768960.

The previous prime is 1100020120141. The next prime is 1100020120237. The reversal of 1100020120200 is 20210200011.

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 71 ways as a sum of consecutive naturals, for example, 6031956 + ... + 6211644.

It is an arithmetic number, because the mean of its divisors is an integer number (13577825625).

Almost surely, 21100020120200 is an apocalyptic number.

1100020120200 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 1100020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955206890000).

1100020120200 is an abundant number, since it is smaller than the sum of its proper divisors (2810393659800).

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

1100020120200 is a wasteful number, since it uses less digits than its factorization.

1100020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179909 (or 179897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100020120200 its reverse (20210200011), we get a palindrome (1120230320211).

The spelling of 1100020120200 in words is "one trillion, one hundred billion, twenty million, one hundred twenty thousand, two hundred".