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2022021112320 = 293251119740499
BaseRepresentation
bin11101011011001001110…
…110011010001000000000
321011022012010110021002200
4131123021312122020000
5231112044401043240
64144523105513200
7266041365604506
oct35331166321000
97138163407080
102022021112320
1170a597227470
12287a6a942800
131188a2898b51
146dc1b368676
15378e63cb930
hex1d6c9d9a200

2022021112320 has 480 divisors, whose sum is σ = 7678417032000. Its totient is φ = 487686635520.

The previous prime is 2022021112301. The next prime is 2022021112369. The reversal of 2022021112320 is 232111202202.

2022021112320 is a `hidden beast` number, since 2 + 0 + 220 + 211 + 1 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022021112293 and 2022021112302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49907431 + ... + 49947929.

It is an arithmetic number, because the mean of its divisors is an integer number (15996702150).

Almost surely, 22022021112320 is an apocalyptic number.

2022021112320 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 2022021112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839208516000).

2022021112320 is an abundant number, since it is smaller than the sum of its proper divisors (5656395919680).

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

2022021112320 is a wasteful number, since it uses less digits than its factorization.

2022021112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40736 (or 40717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2022021112320 its reverse (232111202202), we get a palindrome (2254132314522).

The spelling of 2022021112320 in words is "two trillion, twenty-two billion, twenty-one million, one hundred twelve thousand, three hundred twenty".