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12111020321103 = 3311972143196169
BaseRepresentation
bin1011000000111101000100…
…0100000110100101001111
31120212210122211101202121000
42300033101010012211033
53041411332200233403
641431420444511343
72356664242121034
oct260172104064517
946783584352530
1012111020321103
11394a2892682a0
12143724424b553
1369b0ab3c0292
142dc2684bd38b
1516007e8b07a3
hexb03d110694f

12111020321103 has 64 divisors (see below), whose sum is σ = 19784482099200. Its totient is φ = 7260915271680.

The previous prime is 12111020321093. The next prime is 12111020321111. The reversal of 12111020321103 is 30112302011121.

12111020321103 is a `hidden beast` number, since 1 + 211 + 10 + 20 + 321 + 103 = 666.

It is not a de Polignac number, because 12111020321103 - 218 = 12111020058959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111020321123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61639603 + ... + 61835771.

It is an arithmetic number, because the mean of its divisors is an integer number (309132532800).

Almost surely, 212111020321103 is an apocalyptic number.

12111020321103 is a deficient number, since it is larger than the sum of its proper divisors (7673461778097).

12111020321103 is a wasteful number, since it uses less digits than its factorization.

12111020321103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198429 (or 198423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12111020321103 its reverse (30112302011121), we get a palindrome (42223322332224).

The spelling of 12111020321103 in words is "twelve trillion, one hundred eleven billion, twenty million, three hundred twenty-one thousand, one hundred three".

Divisors: 1 3 9 11 27 33 97 99 291 297 873 1067 2143 2619 3201 6429 9603 19287 23573 28809 57861 70719 196169 207871 212157 588507 623613 636471 1765521 1870839 2157859 2286581 5296563 5612517 6473577 6859743 19028393 19420731 20579229 57085179 58262193 61737687 171255537 209312323 420390167 513766611 627936969 1261170501 1883810907 3783511503 4624291837 5651432721 11350534509 13872875511 40777846199 41618626533 122333538597 124855879599 367000615791 448556308189 1101001847373 1345668924567 4037006773701 12111020321103