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2022222101000 = 2353311012113061
BaseRepresentation
bin11101011011010101110…
…101000111101000001000
321011022201010122112201212
4131123111311013220020
5231113002324213000
64144555045432252
7266046356150363
oct35332565075010
97138633575655
102022222101000
1170a68a725212
12287b0610b688
1311890540b16a
146dc39d270da
1537908d7dc35
hex1d6d5d47a08

2022222101000 has 256 divisors, whose sum is σ = 4958006077440. Its totient is φ = 771120000000.

The previous prime is 2022222100991. The next prime is 2022222101047. The reversal of 2022222101000 is 1012222202.

It is a super-3 number, since 3×20222221010003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660639470 + ... + 660642530.

It is an arithmetic number, because the mean of its divisors is an integer number (19367211240).

Almost surely, 22022222101000 is an apocalyptic number.

2022222101000 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 2022222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479003038720).

2022222101000 is an abundant number, since it is smaller than the sum of its proper divisors (2935783976440).

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

2022222101000 is a wasteful number, since it uses less digits than its factorization.

2022222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022222101000 its reverse (1012222202), we get a palindrome (2023234323202).

The spelling of 2022222101000 in words is "two trillion, twenty-two billion, two hundred twenty-two million, one hundred one thousand".