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11020020032 = 26725236719
BaseRepresentation
bin10100100001101100…
…00010100101000000
31001110000010000120002
422100312002211000
5140032111120112
65021301135132
7540041424200
oct122066024500
931400100502
1011020020032
11474557217a
1221766ba4a8
131068116c18
14767802400
154476e61c2
hex290d82940

11020020032 has 84 divisors (see below), whose sum is σ = 25490545920. Its totient is φ = 4713133824.

The previous prime is 11020020019. The next prime is 11020020043. The reversal of 11020020032 is 23002002011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020019995 and 11020020022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1636769 + ... + 1643487.

It is an arithmetic number, because the mean of its divisors is an integer number (303458880).

Almost surely, 211020020032 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 11020020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745272960).

11020020032 is an abundant number, since it is smaller than the sum of its proper divisors (14470525888).

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

11020020032 is an equidigital number, since it uses as much as digits as its factorization.

11020020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11020020032 its reverse (23002002011), we get a palindrome (34022022043).

The spelling of 11020020032 in words is "eleven billion, twenty million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 523 784 1046 1568 2092 3136 3661 4184 6719 7322 8368 13438 14644 16736 25627 26876 29288 33472 47033 51254 53752 58576 94066 102508 107504 117152 188132 205016 215008 234304 329231 376264 410032 430016 658462 752528 820064 1316924 1505056 1640128 2633848 3010112 3514037 5267696 7028074 10535392 14056148 21070784 24598259 28112296 49196518 56224592 98393036 112449184 172187813 196786072 224898368 344375626 393572144 688751252 787144288 1377502504 1574288576 2755005008 5510010016 11020020032