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11513344620102 = 23132376914095923
BaseRepresentation
bin1010011110001010100011…
…0100001111011001000110
31111202122221210010022220220
42213202220310033121012
53002113312210320402
640253054004205210
72265545261356653
oct247425064173106
944678853108826
1011513344620102
113739866981a66
12135b443999806
1365691c165030
142bb36abd0c2a
1514e74db13dbc
hexa78a8d0f646

11513344620102 has 128 divisors (see below), whose sum is σ = 25932561177600. Its totient is φ = 3381163720704.

The previous prime is 11513344620091. The next prime is 11513344620157. The reversal of 11513344620102 is 20102644331511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943833713 + ... + 1943839635.

It is an arithmetic number, because the mean of its divisors is an integer number (202598134200).

Almost surely, 211513344620102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513344620102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966280588800).

11513344620102 is an abundant number, since it is smaller than the sum of its proper divisors (14419216557498).

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

11513344620102 is a wasteful number, since it uses less digits than its factorization.

11513344620102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 11513344620102 its reverse (20102644331511), we get a palindrome (31615988951613).

The spelling of 11513344620102 in words is "eleven trillion, five hundred thirteen billion, three hundred forty-four million, six hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 769 897 1409 1538 1794 2307 2818 4227 4614 5923 8454 9997 11846 17687 17769 18317 19994 29991 32407 35374 35538 36634 53061 54951 59982 64814 76999 97221 106122 109902 136229 153998 194442 229931 230997 272458 408687 421291 459862 461994 689793 817374 842582 1083521 1263873 1379586 1770977 2167042 2527746 3250563 3541954 4554787 5312931 6501126 8345507 9109574 10625862 13664361 14085773 16691014 24920983 25036521 27328722 28171546 42257319 49841966 50073042 59212231 74762949 84514638 104760101 108491591 118424462 149525898 177636693 191946661 209520202 216983182 314280303 323972779 325474773 355273386 383893322 575839983 628560606 647945558 650949546 971918337 1151679966 1361881313 1943836674 2495306593 2723762626 4085643939 4990613186 6417694883 7485919779 8171287878 12835389766 14971839558 19253084649 38506169298 83430033479 147606982309 166860066958 250290100437 295213964618 442820946927 500580200874 885641893854 1918890770017 3837781540034 5756672310051 11513344620102