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2022000022120 = 2351323273100693
BaseRepresentation
bin11101011011001000100…
…101111101001001101000
321011022010122202202210011
4131123020211331021220
5231112024001201440
64144521033501304
7266041021415161
oct35331045751150
97138118682704
102022000022120
1170a586332051
12287a63871834
1311889b3c3440
146dc18638768
15378e46129ea
hex1d6c897d268

2022000022120 has 192 divisors, whose sum is σ = 5191955833680. Its totient is φ = 704334901248.

The previous prime is 2022000022057. The next prime is 2022000022127. The reversal of 2022000022120 is 212200002202.

It can be written as a sum of positive squares in 8 ways, for example, as 370985755396 + 1651014266724 = 609086^2 + 1284918^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2022000022120.

It is not an unprimeable number, because it can be changed into a prime (2022000022127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20030494 + ... + 20131186.

Almost surely, 22022000022120 is an apocalyptic number.

2022000022120 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 2022000022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595977916840).

2022000022120 is an abundant number, since it is smaller than the sum of its proper divisors (3169955811560).

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

2022000022120 is a wasteful number, since it uses less digits than its factorization.

2022000022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100836 (or 100809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2022000022120 its reverse (212200002202), we get a palindrome (2234200024322).

The spelling of 2022000022120 in words is "two trillion, twenty-two billion, twenty-two thousand, one hundred twenty".