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13521225313232 = 24713172278323977
BaseRepresentation
bin1100010011000010011111…
…0101001110101111010000
31202212121122102212212112022
43010300213311032233100
53233012432140010412
644431322023551012
72563606365561530
oct304604765165720
952777572785468
1013521225313232
11434335721217a
121624606bbb468
1377107a2c8c20
1434a60616d4c0
15186ab88c1a72
hexc4c27d4ebd0

13521225313232 has 160 divisors (see below), whose sum is σ = 34142486740992. Its totient is φ = 5033974874112.

The previous prime is 13521225313231. The next prime is 13521225313237. The reversal of 13521225313232 is 23231352212531.

It is a happy number.

13521225313232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13521225313192 and 13521225313201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13521225313231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563912828 + ... + 563936804.

Almost surely, 213521225313232 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 13521225313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071243370496).

13521225313232 is an abundant number, since it is smaller than the sum of its proper divisors (20621261427760).

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

13521225313232 is a wasteful number, since it uses less digits than its factorization.

13521225313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46805 (or 46799 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

Adding to 13521225313232 its reverse (23231352212531), we get a palindrome (36752577525763).

The spelling of 13521225313232 in words is "thirteen trillion, five hundred twenty-one billion, two hundred twenty-five million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3536 6188 12376 22783 23977 24752 45566 47954 91132 95908 159481 167839 182264 191816 296179 311701 318962 335678 364528 383632 387311 407609 592358 623402 637924 671356 774622 815218 1184716 1246804 1275848 1342712 1549244 1630436 2073253 2181907 2369432 2493608 2551696 2685424 2711177 2853263 3098488 3260872 4146506 4363814 4738864 4987216 5035043 5298917 5422354 5706526 6196976 6521744 8293012 8727628 10070086 10597834 10844708 11413052 16586024 17455256 20140172 21195668 21689416 22826104 33172048 34910512 35245301 37092419 40280344 42391336 43378832 45652208 70490602 74184838 80560688 84782672 140981204 148369676 281962408 296739352 546267991 563924816 593478704 1092535982 2185071964 3823875937 4370143928 7101483883 7647751874 8740287856 9286555847 14202967766 15295503748 18573111694 28405935532 30591007496 37146223388 49710387181 56811871064 61182014992 65005890929 74292446776 99420774362 113623742128 120725226011 130011781858 148584893552 198841548724 241450452022 260023563716 397683097448 482900904044 520047127432 795366194896 845076582077 965801808088 1040094254864 1690153164154 1931603616176 3380306328308 6760612656616 13521225313232