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11035443132 = 2233722963743
BaseRepresentation
bin10100100011100001…
…10111111110111100
31001111002010121002000
422101300313332330
5140100033140012
65023011502300
7540316501410
oct122160677674
931432117060
1011035443132
11475324683a
12217b8b7990
13106b38700c
14769898d40
15448c40ddc
hex291c37fbc

11035443132 has 96 divisors (see below), whose sum is σ = 32840908800. Its totient is φ = 3139166016.

The previous prime is 11035443091. The next prime is 11035443137. The reversal of 11035443132 is 23134453011.

It is a happy number.

11035443132 is a `hidden beast` number, since 1 + 103 + 544 + 3 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11035443096 and 11035443105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035443137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141253 + ... + 204995.

It is an arithmetic number, because the mean of its divisors is an integer number (342092800).

Almost surely, 211035443132 is an apocalyptic number.

11035443132 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 11035443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420454400).

11035443132 is an abundant number, since it is smaller than the sum of its proper divisors (21805465668).

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

11035443132 is a wasteful number, since it uses less digits than its factorization.

11035443132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63992 (or 63984 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11035443132 its reverse (23134453011), we get a palindrome (34169896143).

The spelling of 11035443132 in words is "eleven billion, thirty-five million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 229 252 378 458 687 756 916 1374 1603 2061 2748 3206 4122 4809 6183 6412 8244 9618 12366 14427 19236 24732 28854 43281 57708 63743 86562 127486 173124 191229 254972 382458 446201 573687 764916 892402 1147374 1338603 1721061 1784804 2294748 2677206 3442122 4015809 5354412 6884244 8031618 12047427 14597147 16063236 24094854 29194294 43791441 48189708 58388588 87582882 102180029 131374323 175165764 204360058 262748646 306540087 394122969 408720116 525497292 613080174 788245938 919620261 1226160348 1576491876 1839240522 2758860783 3678481044 5517721566 11035443132