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22144442001 = 31110113035099
BaseRepresentation
bin10100100111111010…
…010101111010010001
32010011021200012122120
4110213322111322101
5330322434121001
614101212124453
71412521436253
oct244772257221
963137605576
1022144442001
119433a62040
124360166729
13211ba56126
14110101dcd3
15899161236
hex527e95e91

22144442001 has 32 divisors (see below), whose sum is σ = 32560358400. Its totient is φ = 13275192000.

The previous prime is 22144441987. The next prime is 22144442003. The reversal of 22144442001 is 10024444122.

It is not a de Polignac number, because 22144442001 - 211 = 22144439953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22144442003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4340350 + ... + 4345448.

It is an arithmetic number, because the mean of its divisors is an integer number (1017511200).

Almost surely, 222144442001 is an apocalyptic number.

It is an amenable number.

22144442001 is a deficient number, since it is larger than the sum of its proper divisors (10415916399).

22144442001 is a wasteful number, since it uses less digits than its factorization.

22144442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22144442001 its reverse (10024444122), we get a palindrome (32168886123).

The spelling of 22144442001 in words is "twenty-two billion, one hundred forty-four million, four hundred forty-two thousand, one".

Divisors: 1 3 11 33 101 303 1111 1303 3333 3909 5099 14333 15297 42999 56089 131603 168267 394809 514999 1447633 1544997 4342899 5664989 6643997 16994967 19931991 73083967 219251901 671043697 2013131091 7381480667 22144442001