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13334331321 = 333753251843
BaseRepresentation
bin11000110101100100…
…11011111110111001
31021102021220012211000
430122302123332321
5204302042100241
610043052555213
7651302642343
oct143262337671
937367805730
1013334331321
115722978533
122701782b09
13134673009c
14906d18293
15530992eb6
hex31ac9bfb9

13334331321 has 32 divisors (see below), whose sum is σ = 20671355520. Its totient is φ = 8486068032.

The previous prime is 13334331251. The next prime is 13334331331. The reversal of 13334331321 is 12313343331.

13334331321 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 331 + 321 = 666.

It is not a de Polignac number, because 13334331321 - 29 = 13334330809 is a prime.

It is a super-3 number, since 3×133343313213 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13334331331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72975 + ... + 178868.

It is an arithmetic number, because the mean of its divisors is an integer number (645979860).

Almost surely, 213334331321 is an apocalyptic number.

It is an amenable number.

13334331321 is a deficient number, since it is larger than the sum of its proper divisors (7337024199).

13334331321 is a wasteful number, since it uses less digits than its factorization.

13334331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251942 (or 251936 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 13334331321 its reverse (12313343331), we get a palindrome (25647674652).

The spelling of 13334331321 in words is "thirteen billion, three hundred thirty-four million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 37 53 111 159 333 477 999 1431 1961 5883 17649 52947 251843 755529 2266587 6799761 9318191 13347679 27954573 40043037 83863719 120129111 251591157 360387333 493864123 1481592369 4444777107 13334331321