Search a number
-
+
31302233032122 = 232135211163220771
BaseRepresentation
bin1110001111000000111100…
…11110110000010110111010
311002211110112102212222220200
413013200132132300112322
513100323433124011442
6150324014120303030
76410340341464413
oct707403636602672
9132743472788820
1031302233032122
119a79225554338
1236166ba611a76
131460a32062170
147a307133080a
15394399c9334c
hex1c781e7b05ba

31302233032122 has 96 divisors (see below), whose sum is σ = 73241987023296. Its totient is φ = 9604660665600.

The previous prime is 31302233032117. The next prime is 31302233032139. The reversal of 31302233032122 is 22123033220313.

31302233032122 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 2 + 2 + 330 + 321 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141675597 + ... + 141896367.

It is an arithmetic number, because the mean of its divisors is an integer number (762937364826).

Almost surely, 231302233032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302233032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36620993511648).

31302233032122 is an abundant number, since it is smaller than the sum of its proper divisors (41939753991174).

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

31302233032122 is a wasteful number, since it uses less digits than its factorization.

31302233032122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222476 (or 222473 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31302233032122 its reverse (22123033220313), we get a palindrome (53425266252435).

The spelling of 31302233032122 in words is "thirty-one trillion, three hundred two billion, two hundred thirty-three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 521 1042 1163 1563 2326 3126 3489 4689 6773 6978 9378 10467 13546 15119 20319 20934 30238 40638 45357 60957 90714 121914 136071 220771 272142 441542 605923 662313 1211846 1324626 1817769 1986939 2870023 3635538 3973878 5453307 5740046 7876999 8610069 10906614 15753998 17220138 23630997 25830207 47261994 51660414 70892991 115021691 141785982 230043382 256756673 345065073 513513346 690130146 770270019 1035195219 1495281983 1540540038 2070390438 2310810057 2990563966 3337836749 4485845949 4621620114 6675673498 8971691898 10013510247 13457537847 20027020494 26915075694 30040530741 60081061482 133770226633 267540453266 401310679899 802621359798 1203932039697 1739012946229 2407864079394 3478025892458 5217038838687 10434077677374 15651116516061 31302233032122