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11032211424 = 2531367131939
BaseRepresentation
bin10100100011001001…
…00010111111100000
31001110212001102000010
422101210202333200
5140043221231144
65022414324520
7540250151463
oct122144427740
931425042003
1011032211424
114751439803
12217a7b9740
13106a7c5070
147692972da
154488035b9
hex291922fe0

11032211424 has 96 divisors (see below), whose sum is σ = 31652933760. Its totient is φ = 3343836672.

The previous prime is 11032211423. The next prime is 11032211461. The reversal of 11032211424 is 42411223011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110322114242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11032211424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032211423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17647 + ... + 149585.

It is an arithmetic number, because the mean of its divisors is an integer number (329718060).

Almost surely, 211032211424 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 11032211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826466880).

11032211424 is an abundant number, since it is smaller than the sum of its proper divisors (20620722336).

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

11032211424 is a wasteful number, since it uses less digits than its factorization.

11032211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132032 (or 132024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11032211424 its reverse (42411223011), we get a palindrome (53443434435).

The spelling of 11032211424 in words is "eleven billion, thirty-two million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 5226 6432 6968 10452 13936 20904 27872 41808 83616 131939 263878 395817 527756 791634 1055512 1583268 1715207 2111024 3166536 3430414 4222048 5145621 6333072 6860828 8839913 10291242 12666144 13721656 17679826 20582484 26519739 27443312 35359652 41164968 53039478 54886624 70719304 82329936 106078956 114918869 141438608 164659872 212157912 229837738 282877216 344756607 424315824 459675476 689513214 848631648 919350952 1379026428 1838701904 2758052856 3677403808 5516105712 11032211424