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110011110011103 = 371719291992810371
BaseRepresentation
bin11001000000110111110101…
…001000100011000011011111
3112102111221220101222211012210
4121000313311020203003133
5103404410223130323403
61025550223425531503
732113016601201510
oct3100676510430337
9472457811884183
10110011110011103
11320644a4687a54
1210408a821a3b93
134950006c36222
141d247cd68aa07
15cab994c82b03
hex640df52230df

110011110011103 has 128 divisors (see below), whose sum is σ = 194252912640000. Its totient is φ = 53846869063680.

The previous prime is 110011110011093. The next prime is 110011110011107. The reversal of 110011110011103 is 301110011110011.

It is not a de Polignac number, because 110011110011103 - 25 = 110011110011071 is a prime.

It is a super-5 number, since 5×1100111100111035 (a number of 71 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011110011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37739508 + ... + 40549878.

It is an arithmetic number, because the mean of its divisors is an integer number (1517600880000).

Almost surely, 2110011110011103 is an apocalyptic number.

110011110011103 is a deficient number, since it is larger than the sum of its proper divisors (84241802628897).

110011110011103 is a wasteful number, since it uses less digits than its factorization.

110011110011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810645.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 110011110011103 its reverse (301110011110011), we get a palindrome (411121121121114).

The spelling of 110011110011103 in words is "one hundred ten trillion, eleven billion, one hundred ten million, eleven thousand, one hundred three".

Divisors: 1 3 7 17 19 21 29 51 57 87 119 133 199 203 323 357 399 493 551 597 609 969 1393 1479 1653 2261 3383 3451 3781 3857 4179 5771 6783 9367 10149 10353 11343 11571 17313 23681 26467 28101 40397 64277 65569 71043 79401 98107 109649 121191 192831 196707 294321 328947 449939 686749 767543 1349817 1864033 2060247 2302629 2810371 5592099 8431113 13048231 19672597 39144693 47776307 53397049 59017791 81500759 143328921 160191147 244502277 334434149 373779343 559263829 570505313 907749833 1003302447 1121338029 1385512903 1548514421 1677791487 1711515939 2723249499 3914846803 4156538709 4645543263 6354248831 9507485093 9698590321 10626012751 10839600947 11744540409 16218651041 19062746493 26324745157 28522455279 29095770963 31878038253 32518802841 48655953123 66552395651 74382089257 78974235471 113530557287 180642216767 184273216099 199657186953 223146267771 275717067697 308154369779 340591671861 541926650301 552819648297 827151203091 924463109337 1264495517369 1930019473879 2157080588453 3793486552107 5238624286243 5790058421637 6471241765359 15715872858729 36670370003701 110011110011103