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13332224334 = 23111396716069
BaseRepresentation
bin11000110101010100…
…11001100101001110
31021102010221011120110
430122222121211032
5204301022134314
610042535500450
7651246015462
oct143252314516
937363834513
1013332224334
115721769520
122700b27726
131346173050
1490692a4a2
155306c8a59
hex31aa9994e

13332224334 has 64 divisors (see below), whose sum is σ = 31360412160. Its totient is φ = 3725205120.

The previous prime is 13332224333. The next prime is 13332224371. The reversal of 13332224334 is 43342223331.

13332224334 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332224333) 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 31 ways as a sum of consecutive naturals, for example, 821652 + ... + 837720.

It is an arithmetic number, because the mean of its divisors is an integer number (490006440).

Almost surely, 213332224334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332224334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680206080).

13332224334 is an abundant number, since it is smaller than the sum of its proper divisors (18028187826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13332224334 is a wasteful number, since it uses less digits than its factorization.

13332224334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17065.

The product of its digits is 31104, while the sum is 30.

Adding to 13332224334 its reverse (43342223331), we get a palindrome (56674447665).

The spelling of 13332224334 in words is "thirteen billion, three hundred thirty-two million, two hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 967 1934 2901 5802 10637 12571 16069 21274 25142 31911 32138 37713 48207 63822 75426 96414 138281 176759 208897 276562 353518 414843 417794 530277 626691 829686 1060554 1253382 2297867 4595734 6893601 13787202 15538723 31077446 46616169 93232338 170925953 202003399 341851906 404006798 512777859 606010197 1025555718 1212020394 2222037389 4444074778 6666112167 13332224334