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11320311232 = 26412139757
BaseRepresentation
bin10101000101011111…
…00011110111000000
31002012221011101122101
422202233203313000
5141140444424412
65111145320144
7550346025556
oct124257436700
932187141571
1011320311232
11488a02541a
12223b196054
1310b53b7419
1479564dbd6
15463c61457
hex2a2be3dc0

11320311232 has 84 divisors (see below), whose sum is σ = 23221284520. Its totient is φ = 5475133440.

The previous prime is 11320311229. The next prime is 11320311239. The reversal of 11320311232 is 23211302311.

11320311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320311239) 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 11 ways as a sum of consecutive naturals, for example, 14953798 + ... + 14954554.

Almost surely, 211320311232 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 11320311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610642260).

11320311232 is an abundant number, since it is smaller than the sum of its proper divisors (11900973288).

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

11320311232 is an equidigital number, since it uses as much as digits as its factorization.

11320311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11320311232 its reverse (23211302311), we get a palindrome (34531613543).

The spelling of 11320311232 in words is "eleven billion, three hundred twenty million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 139 164 278 328 556 656 757 1112 1312 1514 1681 2224 2624 3028 3362 4448 5699 6056 6724 8896 11398 12112 13448 22796 24224 26896 31037 45592 48448 53792 62074 91184 105223 107584 124148 182368 210446 233659 248296 364736 420892 467318 496592 841784 934636 993184 1272517 1683568 1869272 1986368 2545034 3367136 3738544 4314143 5090068 6734272 7477088 8628286 10180136 14954176 17256572 20360272 34513144 40720544 69026288 81441088 138052576 176879863 276105152 353759726 707519452 1415038904 2830077808 5660155616 11320311232