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2124244332001 = 112373469136777
BaseRepresentation
bin11110111010010110110…
…101000010110111100001
321112002001020110212102001
4132322112311002313201
5234300423022111001
64303510412124001
7306320516621161
oct36722665026741
97462036425361
102124244332001
11749983601400
122a3839166601
13125413b7999c
1474b5778c5a1
153a3ca8bd001
hex1ee96d42de1

2124244332001 has 24 divisors (see below), whose sum is σ = 2398727761640. Its totient is φ = 1878383105280.

The previous prime is 2124244331947. The next prime is 2124244332019. The reversal of 2124244332001 is 1002334424212.

It can be written as a sum of positive squares in 4 ways, for example, as 10826194401 + 2113418137600 = 104049^2 + 1453760^2 .

It is not a de Polignac number, because 2124244332001 - 213 = 2124244323809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124244336001) 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 23 ways as a sum of consecutive naturals, for example, 15462325 + ... + 15599101.

Almost surely, 22124244332001 is an apocalyptic number.

It is an amenable number.

2124244332001 is a deficient number, since it is larger than the sum of its proper divisors (274483429639).

2124244332001 is a wasteful number, since it uses less digits than its factorization.

2124244332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140305 (or 140294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2124244332001 its reverse (1002334424212), we get a palindrome (3126578756213).

The spelling of 2124244332001 in words is "two trillion, one hundred twenty-four billion, two hundred forty-four million, three hundred thirty-two thousand, one".

Divisors: 1 11 37 121 407 3469 4477 38159 128353 136777 419749 1411883 1504547 5060749 15530713 16550017 55668239 474479413 612350629 5219273543 17555738281 57412008973 193113121091 2124244332001