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2022020101200 = 2435211809189349
BaseRepresentation
bin11101011011001001110…
…010100011010001010000
321011022012001112220002210
4131123021302203101100
5231112044121214300
64144523032112120
7266041354163601
oct35331162432120
97138161486083
102022020101200
1170a5966a6830
12287a6a535640
131188a2603858
146dc1b183da8
15378e627c050
hex1d6c9ca3450

2022020101200 has 240 divisors, whose sum is σ = 7074812808000. Its totient is φ = 489578188800.

The previous prime is 2022020101183. The next prime is 2022020101237. The reversal of 2022020101200 is 21010202202.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 10584126 + ... + 10773474.

It is an arithmetic number, because the mean of its divisors is an integer number (29478386700).

Almost surely, 22022020101200 is an apocalyptic number.

2022020101200 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 2022020101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537406404000).

2022020101200 is an abundant number, since it is smaller than the sum of its proper divisors (5052792706800).

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

2022020101200 is a wasteful number, since it uses less digits than its factorization.

2022020101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190190 (or 190179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022020101200 its reverse (21010202202), we get a palindrome (2043030303402).

The spelling of 2022020101200 in words is "two trillion, twenty-two billion, twenty million, one hundred one thousand, two hundred".