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102221230044 = 223174315497523
BaseRepresentation
bin101111100110011011…
…1000010111111011100
3100202211222021112001010
41133030313002333130
53133322113330134
6114543151415220
710246065055563
oct1371467027734
9322758245033
10102221230044
113a39624610a
1217989824510
139840a6534b
144d3a066bda
1529d424bce9
hex17ccdc2fdc

102221230044 has 96 divisors (see below), whose sum is σ = 258620947200. Its totient is φ = 31299222528.

The previous prime is 102221230031. The next prime is 102221230049. The reversal of 102221230044 is 440032122201.

102221230044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102221230044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221230049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13584067 + ... + 13591589.

It is an arithmetic number, because the mean of its divisors is an integer number (2693968200).

Almost surely, 2102221230044 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 102221230044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129310473600).

102221230044 is an abundant number, since it is smaller than the sum of its proper divisors (156399717156).

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

102221230044 is a wasteful number, since it uses less digits than its factorization.

102221230044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102221230044 its reverse (440032122201), we get a palindrome (542253352245).

The spelling of 102221230044 in words is "one hundred two billion, two hundred twenty-one million, two hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 1549 2193 2924 3098 4386 4647 6196 7523 8772 9294 15046 18588 22569 26333 30092 45138 52666 66607 78999 90276 105332 127891 133214 157998 199821 255782 266428 315996 323489 383673 399642 511564 646978 767346 799284 970467 1132319 1293956 1534692 1940934 2264638 3396957 3881868 4529276 5499313 6793914 10998626 11653127 13587828 16497939 21997252 23306254 32995878 34959381 46612508 65991756 69918762 139837524 198103159 396206318 501084461 594309477 792412636 1002168922 1188618954 1503253383 2004337844 2377237908 3006506766 6013013532 8518435837 17036871674 25555307511 34073743348 51110615022 102221230044