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13334412321 = 331459338497
BaseRepresentation
bin11000110101100101…
…01111110000100001
31021102022001022221000
430122302233300201
5204302102143241
610043054422213
7651303430446
oct143262576041
937368038830
1013334412321
115722a2337a
122701801969
13134675ac09
14906d399cd
155309abeb6
hex31acafc21

13334412321 has 16 divisors (see below), whose sum is σ = 19768283200. Its totient is φ = 8883489024.

The previous prime is 13334412319. The next prime is 13334412341. The reversal of 13334412321 is 12321443331.

It is a happy number.

13334412321 is a `hidden beast` number, since 1 + 3 + 334 + 4 + 1 + 2 + 321 = 666.

13334412321 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 13334412321 - 21 = 13334412319 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13334412341) 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 15 ways as a sum of consecutive naturals, for example, 129856 + ... + 208641.

It is an arithmetic number, because the mean of its divisors is an integer number (1235517700).

Almost surely, 213334412321 is an apocalyptic number.

It is an amenable number.

13334412321 is a deficient number, since it is larger than the sum of its proper divisors (6433870879).

13334412321 is a wasteful number, since it uses less digits than its factorization.

13334412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339965 (or 339959 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13334412321 its reverse (12321443331), we get a palindrome (25655855652).

The spelling of 13334412321 in words is "thirteen billion, three hundred thirty-four million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 27 1459 4377 13131 39393 338497 1015491 3046473 9139419 493867123 1481601369 4444804107 13334412321