Search a number
-
+
11304355260 = 223511107160073
BaseRepresentation
bin10101000011100101…
…01100010110111100
31002011211010202011110
422201302230112330
5141122403332020
65105415322020
7550063301652
oct124162542674
932154122143
1011304355260
114881017470
122235980310
1310b1cbb913
14793498dd2
1546265d8e0
hex2a1cac5bc

11304355260 has 96 divisors (see below), whose sum is σ = 34852591872. Its totient is φ = 2714821120.

The previous prime is 11304355253. The next prime is 11304355267. The reversal of 11304355260 is 6255340311.

11304355260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11304355253) and next prime (11304355267).

It is a super-3 number, since 3×113043552603 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304355267) 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, 9417 + ... + 150656.

It is an arithmetic number, because the mean of its divisors is an integer number (363047832).

Almost surely, 211304355260 is an apocalyptic number.

11304355260 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 11304355260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426295936).

11304355260 is an abundant number, since it is smaller than the sum of its proper divisors (23548236612).

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

11304355260 is a wasteful number, since it uses less digits than its factorization.

11304355260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160203 (or 160201 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 11304355260 its reverse (6255340311), we get a palindrome (17559695571).

The spelling of 11304355260 in words is "eleven billion, three hundred four million, three hundred fifty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 4708 5885 6420 7062 11770 14124 17655 23540 35310 70620 160073 320146 480219 640292 800365 960438 1600730 1760803 1920876 2401095 3201460 3521606 4802190 5282409 7043212 8804015 9604380 10564818 17127811 17608030 21129636 26412045 34255622 35216060 51383433 52824090 68511244 85639055 102766866 105648180 171278110 188405921 205533732 256917165 342556220 376811842 513834330 565217763 753623684 942029605 1027668660 1130435526 1884059210 2260871052 2826088815 3768118420 5652177630 11304355260