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22112033121 = 32314110119139
BaseRepresentation
bin10100100101111110…
…101101100101100001
32010002000200200000200
4110211332231211201
5330241140024441
614054053335413
71411646115603
oct244576554541
963060620020
1022112033121
119417736842
124351337569
132115119889
1410da9c5173
158963ad7b6
hex525fad961

22112033121 has 48 divisors (see below), whose sum is σ = 34110236160. Its totient is φ = 13779360000.

The previous prime is 22112033081. The next prime is 22112033159. The reversal of 22112033121 is 12133021122.

It is not a de Polignac number, because 22112033121 - 26 = 22112033057 is a prime.

It is a super-4 number, since 4×221120331214 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112033094 and 22112033103.

It is not an unprimeable number, because it can be changed into a prime (22112033621) 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, 1145770 + ... + 1164908.

It is an arithmetic number, because the mean of its divisors is an integer number (710629920).

Almost surely, 222112033121 is an apocalyptic number.

It is an amenable number.

22112033121 is a deficient number, since it is larger than the sum of its proper divisors (11998203039).

22112033121 is a wasteful number, since it uses less digits than its factorization.

22112033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112033121 its reverse (12133021122), we get a palindrome (34245054243).

The spelling of 22112033121 in words is "twenty-two billion, one hundred twelve million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 31 41 93 101 123 279 303 369 909 1271 3131 3813 4141 9393 11439 12423 19139 28179 37269 57417 128371 172251 385113 593309 784699 1155339 1779927 1933039 2354097 5339781 5799117 7062291 17397351 24325669 59924209 72977007 79254599 179772627 218931021 237763797 539317881 713291391 2456892569 7370677707 22112033121