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110011012221 = 311178910872027
BaseRepresentation
bin110011001110100101…
…0101101010001111101
3101111221212010110022010
41212131022231101331
53300300304342341
6122312141441433
710643114114025
oct1463512552175
9344855113263
10110011012221
1142723391820
12193a2570279
13a4b2884406
14547884ca85
152cdd070716
hex199d2ad47d

110011012221 has 64 divisors (see below), whose sum is σ = 171574640640. Its totient is φ = 61958645760.

The previous prime is 110011012213. The next prime is 110011012271. The reversal of 110011012221 is 122210110011.

It is not a de Polignac number, because 110011012221 - 23 = 110011012213 is a prime.

It is a super-2 number, since 2×1100110122212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110011012197 and 110011012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011012271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54271810 + ... + 54273836.

It is an arithmetic number, because the mean of its divisors is an integer number (2680853760).

Almost surely, 2110011012221 is an apocalyptic number.

110011012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011012221 is a deficient number, since it is larger than the sum of its proper divisors (61563628419).

110011012221 is a wasteful number, since it uses less digits than its factorization.

110011012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110011012221 its reverse (122210110011), we get a palindrome (232221122232).

The spelling of 110011012221 in words is "one hundred ten billion, eleven million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 89 187 267 561 979 1087 1513 2027 2937 3261 4539 6081 11957 16643 18479 22297 34459 35871 49929 55437 66891 96743 103377 180403 203269 290229 379049 541209 609807 1064173 1137147 1644631 1984433 2203349 3066851 3192519 4933893 5953299 6610047 9200553 18090941 24236839 33735361 37456933 54272823 72710517 101206083 112370799 196098061 412026263 588294183 1236078789 2157078671 3333667037 6471236013 10001001111 36670337407 110011012221