Search a number
-
+
2110528528112 = 241959571206077
BaseRepresentation
bin11110101101100101010…
…011011001111011110000
321110202122100202211121102
4132231211103121323300
5234034330300344422
64253321410543532
7305323602330554
oct36554523317360
97422570684542
102110528528112
11744085372994
122a104b897ba8
131240393c43b4
1474215d33864
1539d766c6192
hex1eb654d9ef0

2110528528112 has 80 divisors (see below), whose sum is σ = 4385010115200. Its totient is φ = 981053648640.

The previous prime is 2110528528079. The next prime is 2110528528139. The reversal of 2110528528112 is 2118258250112.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10138418 + ... + 10344494.

It is an arithmetic number, because the mean of its divisors is an integer number (54812626440).

Almost surely, 22110528528112 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 2110528528112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192505057600).

2110528528112 is an abundant number, since it is smaller than the sum of its proper divisors (2274481587088).

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

2110528528112 is a wasteful number, since it uses less digits than its factorization.

2110528528112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206734 (or 206728 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 38.

The spelling of 2110528528112 in words is "two trillion, one hundred ten billion, five hundred twenty-eight million, five hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 571 944 1121 1142 2242 2284 4484 4568 8968 9136 10849 17936 21698 33689 43396 67378 86792 134756 173584 206077 269512 412154 539024 640091 824308 1280182 1648616 2560364 3297232 3915463 5120728 7830926 10241456 12158543 15661852 24317086 31323704 48634172 62647408 97268344 117669967 194536688 231012317 235339934 462024634 470679868 924049268 941359736 1848098536 1882719472 2235729373 3696197072 4471458746 6942528053 8942917492 13885056106 17885834984 27770112212 35771669968 55540224424 111080448848 131908033007 263816066014 527632132028 1055264264056 2110528528112