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2022101001144 = 233373534218999
BaseRepresentation
bin11101011011001110100…
…111001010001110111000
321011022101200210000222000
4131123032213022032320
5231112230324014034
64144535042101000
7266043355625520
oct35331647121670
97138350700860
102022101001144
1170a628332094
12287a9164a760
131188b62ba743
146dc27c02680
15378ed40c599
hex1d6ce9ca3b8

2022101001144 has 256 divisors, whose sum is σ = 6453561600000. Its totient is φ = 574674186240.

The previous prime is 2022101001131. The next prime is 2022101001149. The reversal of 2022101001144 is 4411001012202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022101001149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224698357 + ... + 224707355.

It is an arithmetic number, because the mean of its divisors is an integer number (25209225000).

Almost surely, 22022101001144 is an apocalyptic number.

2022101001144 is a gapful number since it is divisible by the number (24) 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 2022101001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226780800000).

2022101001144 is an abundant number, since it is smaller than the sum of its proper divisors (4431460598856).

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

2022101001144 is a wasteful number, since it uses less digits than its factorization.

2022101001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2022101001144 its reverse (4411001012202), we get a palindrome (6433102013346).

The spelling of 2022101001144 in words is "two trillion, twenty-two billion, one hundred one million, one thousand, one hundred forty-four".