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110012011112 = 231931613471103
BaseRepresentation
bin110011001110100111…
…0100001001001101000
3101111221221000012112002
41212131032201021220
53300301033323422
6122312215110132
710643125444163
oct1463516411150
9344857005462
10110012011112
1142723a04253
12193a2972348
13a4b2b43c83
145478a2cada
152cdd1bb692
hex199d3a1268

110012011112 has 128 divisors (see below), whose sum is σ = 228671078400. Its totient is φ = 49415443200.

The previous prime is 110012011069. The next prime is 110012011117. The reversal of 110012011112 is 211110210011.

It is a super-2 number, since 2×1100120111122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110012011093 and 110012011102.

It is not an unprimeable number, because it can be changed into a prime (110012011117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99738353 + ... + 99739455.

It is an arithmetic number, because the mean of its divisors is an integer number (1786492800).

Almost surely, 2110012011112 is an apocalyptic number.

It is an amenable number.

110012011112 is an abundant number, since it is smaller than the sum of its proper divisors (118659067288).

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

110012011112 is a wasteful number, since it uses less digits than its factorization.

110012011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110012011112 its reverse (211110210011), we get a palindrome (321122221123).

The spelling of 110012011112 in words is "one hundred ten billion, twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 19 31 38 61 62 76 122 124 152 244 248 347 488 589 694 1103 1159 1178 1388 1891 2206 2318 2356 2776 3782 4412 4636 4712 6593 7564 8824 9272 10757 13186 15128 20957 21167 21514 26372 34193 35929 41914 42334 43028 52744 67283 68386 71858 83828 84668 86056 134566 136772 143716 167656 169336 204383 269132 273544 287432 382741 402173 408766 538264 649667 656177 765482 804346 817532 1278377 1299334 1312354 1530964 1608692 1635064 2085773 2556754 2598668 2624708 3061928 3217384 4171546 5113508 5197336 5249416 7272079 8343092 10227016 11864971 12467363 14544158 16686184 23347201 23729942 24934726 29088316 39629687 46694402 47459884 49869452 58176632 79259374 93388804 94919768 99738904 158518748 186777608 225434449 317037496 443596819 450868898 723763231 887193638 901737796 1447526462 1774387276 1803475592 2895052924 3548774552 5790105848 13751501389 27503002778 55006005556 110012011112