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11032303232 = 274779139167
BaseRepresentation
bin10100100011001001…
…11001011010000000
31001110212020001221102
422101210321122000
5140043232200412
65022420313532
7540251013236
oct122144713200
931425201842
1011032303232
1147514a1785
12217a8428a8
13106a827aa2
147692bc956
154488208c2
hex291939680

11032303232 has 128 divisors (see below), whose sum is σ = 23030784000. Its totient is φ = 5260409856.

The previous prime is 11032303229. The next prime is 11032303237. The reversal of 11032303232 is 23230323011.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11032303237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66061613 + ... + 66061779.

It is an arithmetic number, because the mean of its divisors is an integer number (179928000).

Almost surely, 211032303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392000).

11032303232 is an abundant number, since it is smaller than the sum of its proper divisors (11998480768).

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

11032303232 is a wasteful number, since it uses less digits than its factorization.

11032303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11032303232 its reverse (23230323011), we get a palindrome (34262626243).

The spelling of 11032303232 in words is "eleven billion, thirty-two million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 79 94 128 139 158 167 188 278 316 334 376 556 632 668 752 1112 1264 1336 1504 2224 2528 2672 3008 3713 4448 5056 5344 6016 6533 7426 7849 8896 10112 10688 10981 13066 13193 14852 15698 17792 21376 21962 23213 26132 26386 29704 31396 43924 46426 52264 52772 59408 62792 87848 92852 104528 105544 118816 125584 175696 185704 209056 211088 237632 251168 351392 371408 418112 422176 475264 502336 516107 620071 702784 742816 836224 844352 1004672 1032214 1091011 1240142 1405568 1485632 1688704 1833827 2064428 2182022 2480284 2971264 3667654 4128856 4364044 4960568 7335308 8257712 8728088 9921136 14670616 16515424 17456176 19842272 29341232 33030848 34912352 39684544 58682464 66061696 69824704 79369088 86189869 117364928 139649408 172379738 234729856 344759476 689518952 1379037904 2758075808 5516151616 11032303232