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13221330111 = 33113794657
BaseRepresentation
bin11000101000000110…
…10111110010111111
31021010102021011022000
430110003113302333
5204034130030421
610023534553343
7645431310633
oct142403276277
937112234260
1013221330111
115675107000
12268b968853
1313291b6972
148d5d00dc3
15525ac1226
hex3140d7cbf

13221330111 has 64 divisors (see below), whose sum is σ = 21821798400. Its totient is φ = 7909799040.

The previous prime is 13221330079. The next prime is 13221330149. The reversal of 13221330111 is 11103312231.

13221330111 is a `hidden beast` number, since 1 + 3 + 221 + 330 + 111 = 666.

It is not a de Polignac number, because 13221330111 - 25 = 13221330079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221330191) 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, 2836695 + ... + 2841351.

It is an arithmetic number, because the mean of its divisors is an integer number (340965600).

Almost surely, 213221330111 is an apocalyptic number.

13221330111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13221330111 is a deficient number, since it is larger than the sum of its proper divisors (8600468289).

13221330111 is an equidigital number, since it uses as much as digits as its factorization.

13221330111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13221330111 its reverse (11103312231), we get a palindrome (24324642342).

The spelling of 13221330111 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 79 99 121 237 297 363 711 869 1089 1331 2133 2607 3267 3993 4657 7821 9559 11979 13971 23463 28677 35937 41913 51227 86031 105149 125739 153681 258093 315447 367903 461043 563497 946341 1103709 1383129 1690491 2839023 3311127 4046933 5071473 6198467 9933381 12140799 15214419 18595401 36422397 44516263 55786203 109267191 133548789 167358609 400646367 489678893 1201939101 1469036679 4407110037 13221330111