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102243005752 = 2317291571631013
BaseRepresentation
bin101111100111000101…
…0000111010100111000
3100202220111020211200211
41133032022013110320
53133343202141002
6114545250240504
710246451131606
oct1371612072470
9322814224624
10102243005752
113a3a7569568
1217994b86134
13984541aa94
144d3ccd4876
1529d60eddd7
hex17ce287538

102243005752 has 128 divisors (see below), whose sum is σ = 212825620800. Its totient is φ = 45830873088.

The previous prime is 102243005749. The next prime is 102243005783. The reversal of 102243005752 is 257500342201.

102243005752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 100930398 + ... + 100931410.

Almost surely, 2102243005752 is an apocalyptic number.

It is an amenable number.

102243005752 is an abundant number, since it is smaller than the sum of its proper divisors (110582615048).

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

102243005752 is a wasteful number, since it uses less digits than its factorization.

102243005752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

Adding to 102243005752 its reverse (257500342201), we get a palindrome (359743347953).

The spelling of 102243005752 in words is "one hundred two billion, two hundred forty-three million, five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 157 163 232 314 326 493 628 652 986 1013 1256 1304 1972 2026 2669 2771 3944 4052 4553 4727 5338 5542 8104 9106 9454 10676 11084 17221 18212 18908 21352 22168 25591 29377 34442 36424 37816 51182 58754 68884 77401 80359 102364 117508 137768 154802 159041 160718 165119 204728 235016 309604 318082 321436 330238 435047 499409 619208 636164 642872 660476 742139 870094 998818 1272328 1320952 1484278 1740188 1997636 2703697 2807023 2968556 3480376 3995272 4612189 4788451 5407394 5614046 5937112 9224378 9576902 10814788 11228092 12616363 18448756 19153804 21629576 22456184 25232726 25923683 36897512 38307608 50465452 51847366 78407213 81403667 100930904 103694732 156814426 162807334 207389464 313628852 325614668 440702611 627257704 651229336 751786807 881405222 1503573614 1762810444 3007147228 3525620888 6014294456 12780375719 25560751438 51121502876 102243005752