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22121101101 = 3111935280863
BaseRepresentation
bin10100100110100001…
…010011011100101101
32010002122202100221210
4110212201103130231
5330301000213401
614055015545033
71412116154061
oct244641233455
963078670853
1022121101101
11942186a740
12435438b179
132116c73148
1410dbca5aa1
158970a04d6
hex52685372d

22121101101 has 16 divisors (see below), whose sum is σ = 33869629440. Its totient is φ = 12701110320.

The previous prime is 22121101039. The next prime is 22121101111. The reversal of 22121101101 is 10110112122.

It is not a de Polignac number, because 22121101101 - 27 = 22121100973 is a prime.

It is a super-2 number, since 2×221211011012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17639805 + ... + 17641058.

It is an arithmetic number, because the mean of its divisors is an integer number (2116851840).

Almost surely, 222121101101 is an apocalyptic number.

It is an amenable number.

22121101101 is a deficient number, since it is larger than the sum of its proper divisors (11748528339).

22121101101 is a wasteful number, since it uses less digits than its factorization.

22121101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35280896.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22121101101 its reverse (10110112122), we get a palindrome (32231213223).

The spelling of 22121101101 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred one".

Divisors: 1 3 11 19 33 57 209 627 35280863 105842589 388089493 670336397 1164268479 2011009191 7373700367 22121101101