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22110011001 = 3213414609133
BaseRepresentation
bin10100100101110110…
…111111111001111001
32010001212212221012100
4110211312333321321
5330240130323001
614053542134013
71411622664321
oct244566777171
963055787170
1022110011001
119416585571
124350721309
13211488c360
1410da61a281
1589610e586
hex525dbfe79

22110011001 has 24 divisors (see below), whose sum is σ = 35232220296. Its totient is φ = 13274300160.

The previous prime is 22110010987. The next prime is 22110011023. The reversal of 22110011001 is 10011001122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 153884025 + 21956126976 = 12405^2 + 148176^2 .

It is not a de Polignac number, because 22110011001 - 25 = 22110010969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22110011081) 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, 2299770 + ... + 2309363.

It is an arithmetic number, because the mean of its divisors is an integer number (1468009179).

Almost surely, 222110011001 is an apocalyptic number.

It is an amenable number.

22110011001 is a deficient number, since it is larger than the sum of its proper divisors (13122209295).

22110011001 is a wasteful number, since it uses less digits than its factorization.

22110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609193 (or 4609190 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 22110011001 its reverse (10011001122), we get a palindrome (32121012123).

The spelling of 22110011001 in words is "twenty-two billion, one hundred ten million, eleven thousand, one".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 4609133 13827399 41482197 59918729 179756187 188974453 539268561 566923359 1700770077 2456667889 7370003667 22110011001