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10221103341 = 3417311491607
BaseRepresentation
bin10011000010011100…
…11010100011101101
3222101022210211220000
421201032122203231
5131413100301331
64410121414513
7511200642051
oct114116324355
928338724800
1010221103341
114375601249
121b9303a439
13c6b753157
146cd679c61
153ec4d50e6
hex26139a8ed

10221103341 has 80 divisors (see below), whose sum is σ = 16810675200. Its totient is φ = 6160872960.

The previous prime is 10221103289. The next prime is 10221103357. The reversal of 10221103341 is 14330112201.

10221103341 is a `hidden beast` number, since 1 + 0 + 221 + 103 + 341 = 666.

10221103341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221103341 - 210 = 10221102317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221103391) 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 79 ways as a sum of consecutive naturals, for example, 6359560 + ... + 6361166.

It is an arithmetic number, because the mean of its divisors is an integer number (210133440).

Almost surely, 210221103341 is an apocalyptic number.

It is an amenable number.

10221103341 is a deficient number, since it is larger than the sum of its proper divisors (6589571859).

10221103341 is a wasteful number, since it uses less digits than its factorization.

10221103341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221103341 its reverse (14330112201), we get a palindrome (24551215542).

The spelling of 10221103341 in words is "ten billion, two hundred twenty-one million, one hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 17 27 31 51 81 93 149 153 279 447 459 527 837 1341 1377 1581 1607 2511 2533 4023 4619 4743 4821 7599 12069 13857 14229 14463 22797 27319 41571 42687 43389 49817 68391 78523 81957 124713 130167 149451 205173 235569 239443 245871 374139 448353 706707 718329 737613 846889 1345059 2120121 2154987 2212839 2540667 4035177 4070531 6360363 6464961 7422733 7622001 12211593 19394883 22268199 22866003 36634779 66804597 68598009 109904337 126186461 200413791 329713011 378559383 601241373 1135678149 3407034447 10221103341