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11104311321 = 3231477111927
BaseRepresentation
bin10100101011101111…
…00101100000011001
31001122212201110110200
422111313211200121
5140220200430241
65033511532413
7542114042325
oct122567454031
931585643420
1011104311321
1147891044a4
12219a98a109
13107c71a61c
14774aa4985
1544ece64b6
hex295de5819

11104311321 has 48 divisors (see below), whose sum is σ = 17148837888. Its totient is φ = 6912309600.

The previous prime is 11104311319. The next prime is 11104311347. The reversal of 11104311321 is 12311340111.

It is a happy number.

11104311321 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 11104311321 - 21 = 11104311319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11104311294 and 11104311303.

It is not an unprimeable number, because it can be changed into a prime (11104311391) 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 47 ways as a sum of consecutive naturals, for example, 925060 + ... + 936986.

It is an arithmetic number, because the mean of its divisors is an integer number (357267456).

Almost surely, 211104311321 is an apocalyptic number.

It is an amenable number.

11104311321 is a deficient number, since it is larger than the sum of its proper divisors (6044526567).

11104311321 is a wasteful number, since it uses less digits than its factorization.

11104311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082 (or 12079 counting only the distinct ones).

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

Adding to 11104311321 its reverse (12311340111), we get a palindrome (23415651432).

The spelling of 11104311321 in words is "eleven billion, one hundred four million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 31 47 71 93 141 213 279 423 639 1457 2201 3337 4371 6603 10011 11927 13113 19809 30033 35781 103447 107343 310341 369737 560569 846817 931023 1109211 1681707 2540451 3327633 5045121 7621353 17377639 26251327 39800399 52132917 78753981 119401197 156398751 236261943 358203591 1233812369 3701437107 11104311321