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11201331232 = 257135876553
BaseRepresentation
bin10100110111010011…
…01100000000100000
31001220122021120202201
422123221230000200
5140420020044412
65051255222544
7544402513240
oct123351540040
931818246681
1011201331232
11482894aa43
122207377a54
131096859860
1478391bb20
154585ace57
hex29ba6c020

11201331232 has 96 divisors (see below), whose sum is σ = 27192074112. Its totient is φ = 4423071744.

The previous prime is 11201331221. The next prime is 11201331299. The reversal of 11201331232 is 23213310211.

It is an unprimeable number.

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, 1706068 + ... + 1712620.

It is an arithmetic number, because the mean of its divisors is an integer number (283250772).

Almost surely, 211201331232 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 11201331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596037056).

11201331232 is an abundant number, since it is smaller than the sum of its proper divisors (15990742880).

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

11201331232 is a wasteful number, since it uses less digits than its factorization.

11201331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7162 counting only the distinct ones).

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

Adding to 11201331232 its reverse (23213310211), we get a palindrome (34414641443).

The spelling of 11201331232 in words is "eleven billion, two hundred one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 587 728 1174 1456 2348 2912 4109 4696 6553 7631 8218 9392 13106 15262 16436 18784 26212 30524 32872 45871 52424 53417 61048 65744 85189 91742 104848 106834 122096 131488 170378 183484 209696 213668 244192 340756 366968 427336 596323 681512 733936 854672 1192646 1363024 1467872 1709344 2385292 2726048 3846611 4770584 7693222 9541168 15386444 19082336 26926277 30772888 50005943 53852554 61545776 100011886 107705108 123091552 200023772 215410216 350041601 400047544 430820432 700083202 800095088 861640864 1400166404 1600190176 2800332808 5600665616 11201331232