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110222001111112 = 231110948735176709
BaseRepresentation
bin11001000011111100001111…
…001110010000000001001000
3112110021010020202210201020121
4121003330033032100001020
5103421334124241023422
61030231142134033024
732134163640030622
oct3103741716200110
9473233222721217
10110222001111112
1132135985166850
12104419191a8774
134966b75741277
141d30ab7db1c12
15cb21d94348c7
hex643f0f390048

110222001111112 has 128 divisors (see below), whose sum is σ = 228088488672000. Its totient is φ = 49517867842560.

The previous prime is 110222001111097. The next prime is 110222001111121. The reversal of 110222001111112 is 211111100222011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16428972814 + ... + 16428979522.

It is an arithmetic number, because the mean of its divisors is an integer number (1781941317750).

Almost surely, 2110222001111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222001111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114044244336000).

110222001111112 is an abundant number, since it is smaller than the sum of its proper divisors (117866487560888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110222001111112 is a wasteful number, since it uses less digits than its factorization.

110222001111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10839 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110222001111112 its reverse (211111100222011), we get a palindrome (321333101333123).

The spelling of 110222001111112 in words is "one hundred ten trillion, two hundred twenty-two billion, one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 487 872 974 1199 1948 2398 3517 3896 4796 5357 6709 7034 9592 10714 13418 14068 21428 26836 28136 38687 42856 53083 53672 73799 77374 106166 147598 154748 212332 295196 309496 383353 424664 583913 590392 731281 766706 1167826 1462562 1533412 1712779 2335652 2925124 3066824 3267283 3425558 4216883 4671304 5850248 6534566 6851116 8044091 8433766 13069132 13702232 16088182 16867532 18840569 23595553 26138264 32176364 33735064 35940113 37681138 47191106 64352728 71880226 75362276 94382212 143760452 150724552 186692911 188764424 259551083 287520904 356133847 373385822 519102166 712267694 746771644 1038204332 1424535388 1493543288 2053622021 2076408664 2571915277 2849070776 3917472317 4107244042 5143830554 7834944634 8214488084 10287661108 11491034311 15669889268 16428976168 20575322216 22982068622 28291068047 31339778536 45964137244 56582136094 91928274488 113164272188 126401377421 226328544376 252802754842 505605509684 1011211019368 1252522739899 2505045479798 5010090959596 10020181919192 13777750138889 27555500277778 55111000555556 110222001111112