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1110111220221 = 317232956475779
BaseRepresentation
bin10000001001110111110…
…010001111000111111101
310221010101120002222022120
4100021313302033013331
5121142001433021341
62205551132033153
7143126406452463
oct20116762170775
93833346088276
101110111220221
11398882930443
1215b1920027b9
13808b5837313
143ba302dc833
151dd234cd066
hex10277c8f1fd

1110111220221 has 64 divisors (see below), whose sum is σ = 1692339609600. Its totient is φ = 643056454656.

The previous prime is 1110111220201. The next prime is 1110111220243. The reversal of 1110111220221 is 1220221110111.

It is a happy number.

It is not a de Polignac number, because 1110111220221 - 27 = 1110111220093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1110111220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110111220201) 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 63 ways as a sum of consecutive naturals, for example, 192091110 + ... + 192096888.

It is an arithmetic number, because the mean of its divisors is an integer number (26442806400).

Almost surely, 21110111220221 is an apocalyptic number.

It is an amenable number.

1110111220221 is a deficient number, since it is larger than the sum of its proper divisors (582228389379).

1110111220221 is a wasteful number, since it uses less digits than its factorization.

1110111220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11498.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1110111220221 its reverse (1220221110111), we get a palindrome (2330332330332).

The spelling of 1110111220221 in words is "one trillion, one hundred ten billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 17 23 29 51 69 87 391 493 667 1173 1479 2001 5647 5779 11339 16941 17337 34017 95999 98243 129881 132917 163763 167591 287997 294729 389643 398751 491289 502773 2207977 2259589 2783971 2849047 3766549 3854593 6623931 6778767 8351913 8547141 11299647 11563779 32634013 64031333 65528081 97902039 192093999 196584243 554778221 750582299 946386377 1664334663 2251746897 2839159131 12759899083 16088568409 21766886671 38279697249 48265705227 65300660013 370037073407 1110111220221