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13110334224 = 2431329371707
BaseRepresentation
bin11000011010110111…
…11101001100010000
31020211200101222120020
430031123331030100
5203322221143344
610004531543440
7642613000521
oct141533751420
936750358506
1013110334224
115618495169
12265a75ab80
13130c1c3220
148c528a848
1551ae98719
hex30d6fd310

13110334224 has 80 divisors (see below), whose sum is σ = 36598615872. Its totient is φ = 4020125184.

The previous prime is 13110334169. The next prime is 13110334231. The reversal of 13110334224 is 42243301131.

It is a happy number.

13110334224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13110334194 and 13110334203.

It is an unprimeable number.

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, 146979 + ... + 218685.

Almost surely, 213110334224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299307936).

13110334224 is an abundant number, since it is smaller than the sum of its proper divisors (23488281648).

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

13110334224 is a wasteful number, since it uses less digits than its factorization.

13110334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72024 (or 72018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13110334224 its reverse (42243301131), we get a palindrome (55353635355).

The spelling of 13110334224 in words is "thirteen billion, one hundred ten million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 293 312 586 624 879 1172 1758 2344 3516 3809 4688 7032 7618 11427 14064 15236 22854 30472 45708 60944 71707 91416 143414 182832 215121 286828 430242 573656 860484 932191 1147312 1720968 1864382 2796573 3441936 3728764 5593146 7457528 11186292 14915056 21010151 22372584 42020302 44745168 63030453 84040604 126060906 168081208 252121812 273131963 336162416 504243624 546263926 819395889 1008487248 1092527852 1638791778 2185055704 3277583556 4370111408 6555167112 13110334224