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2022200202120 = 2335723001114599
BaseRepresentation
bin11101011011010100100…
…001100101001110001000
321011022122121102222010020
4131123110201211032020
5231112431222431440
64144552544220440
7266046002052300
oct35332441451610
97138577388106
102022200202120
1170a67932826a
12287aba90a720
13118900a11647
146dc37066600
1537906ea53d0
hex1d6d4865388

2022200202120 has 192 divisors, whose sum is σ = 7059479184000. Its totient is φ = 462059136000.

The previous prime is 2022200202097. The next prime is 2022200202133. The reversal of 2022200202120 is 212020022202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022200202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17588581 + ... + 17703179.

It is an arithmetic number, because the mean of its divisors is an integer number (36768120750).

Almost surely, 22022200202120 is an apocalyptic number.

2022200202120 is a gapful number since it is divisible by the number (20) 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 2022200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529739592000).

2022200202120 is an abundant number, since it is smaller than the sum of its proper divisors (5037278981880).

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

2022200202120 is a wasteful number, since it uses less digits than its factorization.

2022200202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117628 (or 117617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2022200202120 its reverse (212020022202), we get a palindrome (2234220224322).

The spelling of 2022200202120 in words is "two trillion, twenty-two billion, two hundred million, two hundred two thousand, one hundred twenty".