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1101120220200 = 23352711131996493
BaseRepresentation
bin10000000001011111111…
…000010010110000101000
310220021011221221211221210
4100001133320102300220
5121020043234021300
62201503031433120
7142360533304440
oct20013770226050
93807157854853
101101120220200
11394a89727010
121594a2b257a0
137cab1bb8670
143b41a18b120
151d998ecd050
hex1005fe12c28

1101120220200 has 768 divisors, whose sum is σ = 4824391219200. Its totient is φ = 200085811200.

The previous prime is 1101120220147. The next prime is 1101120220201. The reversal of 1101120220200 is 20220211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1101120220201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11363154 + ... + 11459646.

It is an arithmetic number, because the mean of its divisors is an integer number (6281759400).

Almost surely, 21101120220200 is an apocalyptic number.

1101120220200 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 1101120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412195609600).

1101120220200 is an abundant number, since it is smaller than the sum of its proper divisors (3723270999000).

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

1101120220200 is a wasteful number, since it uses less digits than its factorization.

1101120220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96562 (or 96553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1101120220200 its reverse (20220211011), we get a palindrome (1121340431211).

The spelling of 1101120220200 in words is "one trillion, one hundred one billion, one hundred twenty million, two hundred twenty thousand, two hundred".