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102342310044 = 223138911296529
BaseRepresentation
bin101111101010000010…
…0111011100010011100
3100210011102010000120120
41133110010323202130
53134044112410134
6115003154514540
710252065165522
oct1372404734234
9323142100516
10102342310044
113a448625327
1217a02295a50
13985cb79a10
144d4c184312
1529debb7649
hex17d413b89c

102342310044 has 96 divisors (see below), whose sum is σ = 260327592000. Its totient is φ = 31103778816.

The previous prime is 102342310027. The next prime is 102342310051. The reversal of 102342310044 is 440013243201.

It is a junction number, because it is equal to n+sod(n) for n = 102342309996 and 102342310023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15671772 + ... + 15678300.

It is an arithmetic number, because the mean of its divisors is an integer number (2711745750).

Almost surely, 2102342310044 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 102342310044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130163796000).

102342310044 is an abundant number, since it is smaller than the sum of its proper divisors (157985281956).

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

102342310044 is a wasteful number, since it uses less digits than its factorization.

102342310044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102342310044 its reverse (440013243201), we get a palindrome (542355553245).

The spelling of 102342310044 in words is "one hundred two billion, three hundred forty-two million, three hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1129 1157 2258 2314 3387 3471 4516 4628 6529 6774 6942 13058 13548 13884 14677 19587 26116 29354 39174 44031 58708 78348 84877 88062 100481 169754 176124 200962 254631 301443 339508 401924 509262 581081 602886 1018524 1162162 1205772 1306253 1743243 2324324 2612506 3486486 3918759 5225012 6972972 7371241 7554053 7837518 14742482 15108106 15675036 22113723 22662159 29484964 30216212 44227446 45324318 88454892 90648636 95826133 191652266 287478399 383304532 574956798 656040449 1149913596 1312080898 1968121347 2624161796 3936242694 7872485388 8528525837 17057051674 25585577511 34114103348 51171155022 102342310044