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112021122012111 = 33133111109925339
BaseRepresentation
bin11001011110000111110011…
…001011110101001111001111
3112200122010002121012000121000
4121132013303023311033033
5104140323224213341421
61034125443142511343
732411154555254064
oct3136076313651717
9480563077160530
10112021122012111
1132769988a9a334
121069253b135553
134a677147ca340
141d93bcbb04c6b
15ce3dd6bde226
hex65e1f32f53cf

112021122012111 has 64 divisors (see below), whose sum is σ = 179459699328000. Its totient is φ = 68652380787840.

The previous prime is 112021122012101. The next prime is 112021122012133. The reversal of 112021122012111 is 111210221120211.

It is a happy number.

112021122012111 is a `hidden beast` number, since 1 + 1 + 20 + 211 + 220 + 1 + 211 + 1 = 666.

It is not a de Polignac number, because 112021122012111 - 29 = 112021122011599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021122012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120596880 + ... + 121522218.

It is an arithmetic number, because the mean of its divisors is an integer number (2804057802000).

Almost surely, 2112021122012111 is an apocalyptic number.

112021122012111 is a deficient number, since it is larger than the sum of its proper divisors (67438577315889).

112021122012111 is a wasteful number, since it uses less digits than its factorization.

112021122012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926781 (or 926775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112021122012111 its reverse (111210221120211), we get a palindrome (223231343132322).

The spelling of 112021122012111 in words is "one hundred twelve trillion, twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 117 311 351 933 1109 2799 3327 4043 8397 9981 12129 14417 29943 36387 43251 109161 129753 344899 389259 925339 1034697 2776017 3104091 4483687 8328051 9312273 12029407 13451061 24984153 36088221 40353183 108264663 121059549 287780429 324793989 863341287 1026200951 2590023861 3078602853 3741145577 7770071583 9235808559 11223436731 13340612363 27707425677 33670310193 40021837089 101010930579 120065511267 319148495761 360196533801 957445487283 2872336461849 4148930444893 8617009385547 12446791334679 37340374004037 112021122012111