Search a number
-
+
13110725232 = 24331113121061
BaseRepresentation
bin11000011010111010…
…11100101001110000
31020211201010211221000
430031131130221300
5203322321201412
610004544202000
7642616216503
oct141535345160
936751124830
1013110725232
115618731a10
12265a909300
13130c2cc1a7
148c534d13a
1551b0244dc
hex30d75ca70

13110725232 has 160 divisors (see below), whose sum is σ = 41369137920. Its totient is φ = 3942432000.

The previous prime is 13110725219. The next prime is 13110725237. The reversal of 13110725232 is 23252701131.

13110725232 is a `hidden beast` number, since 1 + 31 + 107 + 2 + 523 + 2 = 666.

13110725232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131107252322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13110725196 and 13110725205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110725237) 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, 611982 + ... + 633042.

It is an arithmetic number, because the mean of its divisors is an integer number (258557112).

Almost surely, 213110725232 is an apocalyptic number.

13110725232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110725232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684568960).

13110725232 is an abundant number, since it is smaller than the sum of its proper divisors (28258412688).

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

13110725232 is a wasteful number, since it uses less digits than its factorization.

13110725232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13110725232 in words is "thirteen billion, one hundred ten million, seven hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 131 132 144 176 198 216 262 264 297 393 396 432 524 528 594 786 792 1048 1179 1188 1441 1572 1584 2096 2358 2376 2882 3144 3537 4323 4716 4752 5764 6288 7074 8646 9432 11528 12969 14148 17292 18864 21061 23056 25938 28296 34584 38907 42122 51876 56592 63183 69168 77814 84244 103752 126366 155628 168488 189549 207504 231671 252732 311256 336976 379098 463342 505464 568647 622512 695013 758196 926684 1010928 1137294 1390026 1516392 1853368 2085039 2274588 2758991 2780052 3032784 3706736 4170078 4549176 5517982 5560104 6255117 8276973 8340156 9098352 11035964 11120208 12510234 16553946 16680312 22071928 24830919 25020468 30348901 33107892 33360624 44143856 49661838 50040936 60697802 66215784 74492757 91046703 99323676 100081872 121395604 132431568 148985514 182093406 198647352 242791208 273140109 297971028 364186812 397294704 485582416 546280218 595942056 728373624 819420327 1092560436 1191884112 1456747248 1638840654 2185120872 3277681308 4370241744 6555362616 13110725232