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211122100121103 = 32894631914129741
BaseRepresentation
bin110000000000001110110001…
…110010000010111000001111
31000200112002001011012112221100
4300000032301302002320033
5210133011030112333403
62025004053122234143
762320032311433453
oct6000166162027017
91020462034175840
10211122100121103
11612a741a638456
121b818a641b5953
1390a59619cb2b2
143a1c5153c0663
151961b84c8c2a3
hexc003b1c82e0f

211122100121103 has 48 divisors (see below), whose sum is σ = 309073182088320. Its totient is φ = 138854128089600.

The previous prime is 211122100121087. The next prime is 211122100121117. The reversal of 211122100121103 is 301121001221112.

It is a happy number.

It is not a de Polignac number, because 211122100121103 - 24 = 211122100121087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122100121143) 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 47 ways as a sum of consecutive naturals, for example, 7098673813 + ... + 7098703553.

It is an arithmetic number, because the mean of its divisors is an integer number (6439024626840).

Almost surely, 2211122100121103 is an apocalyptic number.

211122100121103 is a deficient number, since it is larger than the sum of its proper divisors (97951081967217).

211122100121103 is a wasteful number, since it uses less digits than its factorization.

211122100121103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49440 (or 49437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211122100121103 its reverse (301121001221112), we get a palindrome (512243101342215).

The spelling of 211122100121103 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred three".

Divisors: 1 3 9 89 267 463 801 1389 4167 19141 29741 41207 57423 89223 123621 172269 267669 370863 1703549 2646949 5110647 7940847 8862283 13770083 15331941 23822541 26586849 41310249 79760547 123930747 569272481 788743187 1225537387 1707817443 2366229561 3676612161 5123452329 7098688683 11029836483 50665250809 151995752427 263573158703 455987257281 790719476109 2372158428327 23458011124567 70374033373701 211122100121103