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13022021113023 = 3132232339115261
BaseRepresentation
bin1011110101111110110011…
…1100010101010010111111
31201002220010001002222101010
42331133230330111102333
53201323044401104043
643410122305250303
72512544552103156
oct275375474252277
951086101088333
1013022021113023
11417067648695a
121563908633993
13735c81cc0300
143303aa90059d
15178aeca86133
hexbd7ecf154bf

13022021113023 has 96 divisors (see below), whose sum is σ = 19728036476928. Its totient is φ = 7622411596800.

The previous prime is 13022021113001. The next prime is 13022021113061. The reversal of 13022021113023 is 32031112022031.

It is not a de Polignac number, because 13022021113023 - 226 = 13021954004159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022021113523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2475196213 + ... + 2475201473.

It is an arithmetic number, because the mean of its divisors is an integer number (205500379968).

Almost surely, 213022021113023 is an apocalyptic number.

13022021113023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13022021113023 is a deficient number, since it is larger than the sum of its proper divisors (6706015363905).

13022021113023 is a wasteful number, since it uses less digits than its factorization.

13022021113023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13022021113023 its reverse (32031112022031), we get a palindrome (45053133135054).

The spelling of 13022021113023 in words is "thirteen trillion, twenty-two billion, twenty-one million, one hundred thirteen thousand, twenty-three".

Divisors: 1 3 13 23 39 69 169 233 299 507 699 897 911 2733 3029 3887 5261 5359 9087 11661 11843 15783 16077 20953 35529 39377 62859 68393 69667 118131 121003 153959 205179 209001 212263 272389 363009 461877 636789 817167 889109 905671 1225813 1573039 2667327 2717013 2759419 3541057 3677439 4719117 4792771 4882049 8278257 10623171 14378313 14646147 15935569 20449507 28193699 35872447 47806707 61348521 62306023 63466637 84581097 107617341 110233733 186918069 190399911 207162397 330701199 366518087 621487191 809978299 825066281 1099554261 1116715643 1433038529 2429934897 2475198843 3350146929 4299115587 4764735131 14294205393 14517303359 18629500877 25684459789 43551910077 55888502631 77053379367 188724943667 333897977257 566174831001 1001693931771 4340673704341 13022021113023