Search a number
-
+
1103242932 = 22321123891361
BaseRepresentation
bin100000111000010…
…0010011010110100
32211212221112210100
41001300202122310
54224412233212
6301250154100
736224260461
oct10160423264
92755845710
101103242932
1151682a820
12269582930
13147747a8c
14a6744668
1566cc6bdc
hex41c226b4

1103242932 has 144 divisors (see below), whose sum is σ = 3212576640. Its totient is φ = 315955200.

The previous prime is 1103242901. The next prime is 1103242937. The reversal of 1103242932 is 2392423011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1103242896 and 1103242905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103242937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809932 + ... + 811292.

It is an arithmetic number, because the mean of its divisors is an integer number (22309560).

Almost surely, 21103242932 is an apocalyptic number.

1103242932 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 1103242932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606288320).

1103242932 is an abundant number, since it is smaller than the sum of its proper divisors (2109333708).

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

1103242932 is a wasteful number, since it uses less digits than its factorization.

1103242932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1103242932 is about 33215.1009632667. The cubic root of 1103242932 is about 1033.2935487515.

Adding to 1103242932 its reverse (2392423011), we get a palindrome (3495665943).

The spelling of 1103242932 in words is "one billion, one hundred three million, two hundred forty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 89 92 99 132 138 178 198 207 253 267 276 356 396 414 506 534 759 801 828 979 1012 1068 1361 1518 1602 1958 2047 2277 2722 2937 3036 3204 3916 4083 4094 4554 5444 5874 6141 8166 8188 8811 9108 11748 12249 12282 14971 16332 17622 18423 22517 24498 24564 29942 31303 35244 36846 44913 45034 48996 59884 62606 67551 73692 89826 90068 93909 121129 125212 134739 135102 179652 187818 202653 242258 269478 270204 281727 344333 363387 375636 405306 484516 538956 563454 688666 726774 810612 1032999 1090161 1126908 1332419 1377332 1453548 2065998 2180322 2664838 2785967 3098997 3997257 4131996 4360644 5329676 5571934 6197994 7994514 8357901 11143868 11991771 12395988 15989028 16715802 23983542 25073703 30645637 33431604 47967084 50147406 61291274 91936911 100294812 122582548 183873822 275810733 367747644 551621466 1103242932