Search a number
-
+
11232330340 = 2257119775193
BaseRepresentation
bin10100111010111111…
…11100001001100100
31001222210121111112211
422131133330021210
5141000434032330
65054323453204
7545230142530
oct123537741144
931883544484
1011232330340
1148443a3040
122215827204
1310a00c151a
14787aaabc0
1545b182d2a
hex29d7fc264

11232330340 has 96 divisors (see below), whose sum is σ = 29711856384. Its totient is φ = 3464847360.

The previous prime is 11232330337. The next prime is 11232330401. The reversal of 11232330340 is 4303323211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111784 + ... + 186976.

It is an arithmetic number, because the mean of its divisors is an integer number (309498504).

Almost surely, 211232330340 is an apocalyptic number.

11232330340 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 11232330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855928192).

11232330340 is an abundant number, since it is smaller than the sum of its proper divisors (18479526044).

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

11232330340 is a wasteful number, since it uses less digits than its factorization.

11232330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75317 (or 75315 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11232330340 its reverse (4303323211), we get a palindrome (15535653551).

The spelling of 11232330340 in words is "eleven billion, two hundred thirty-two million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 970 1067 1358 1540 1940 2134 2716 3395 4268 5335 6790 7469 10670 13580 14938 21340 29876 37345 74690 75193 149380 150386 300772 375965 526351 751930 827123 1052702 1503860 1654246 2105404 2631755 3308492 4135615 5263510 5789861 7293721 8271230 10527020 11579722 14587442 16542460 23159444 28949305 29174884 36468605 51056047 57898610 72937210 80230931 102112094 115797220 145874420 160461862 204224188 255280235 320923724 401154655 510560470 561616517 802309310 1021120940 1123233034 1604618620 2246466068 2808082585 5616165170 11232330340