Search a number
-
+
13045320420 = 22351131363149
BaseRepresentation
bin11000010011000111…
…11100101011100100
31020200011001221101120
430021203330223210
5203204100223140
65554250253540
7641163252066
oct141143745344
936604057346
1013045320420
11559481a350
122640a272b0
1312cb8ac112
148ba7a5736
155154051d0
hex3098fcae4

13045320420 has 96 divisors (see below), whose sum is σ = 39975465600. Its totient is φ = 3152348160.

The previous prime is 13045320419. The next prime is 13045320433. The reversal of 13045320420 is 2402354031.

13045320420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 175006 + ... + 238154.

It is an arithmetic number, because the mean of its divisors is an integer number (416411100).

Almost surely, 213045320420 is an apocalyptic number.

13045320420 is a gapful number since it is divisible by the number (10) 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 13045320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987732800).

13045320420 is an abundant number, since it is smaller than the sum of its proper divisors (26930145180).

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

13045320420 is a wasteful number, since it uses less digits than its factorization.

13045320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63485 (or 63483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13045320420 its reverse (2402354031), we get a palindrome (15447674451).

The spelling of 13045320420 in words is "thirteen billion, forty-five million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 313 330 626 660 939 1252 1565 1878 3130 3443 3756 4695 6260 6886 9390 10329 13772 17215 18780 20658 34430 41316 51645 63149 68860 103290 126298 189447 206580 252596 315745 378894 631490 694639 757788 947235 1262980 1389278 1894470 2083917 2778556 3473195 3788940 4167834 6946390 8335668 10419585 13892780 19765637 20839170 39531274 41678340 59296911 79062548 98828185 118593822 197656370 217422007 237187644 296484555 395312740 434844014 592969110 652266021 869688028 1087110035 1185938220 1304532042 2174220070 2609064084 3261330105 4348440140 6522660210 13045320420