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10050010224 = 243174326661
BaseRepresentation
bin10010101110000011…
…01111110001110000
3221221101212102020220
421113001233301300
5131040300311344
64341130333040
7504022451232
oct112701576160
927841772226
1010050010224
114297a72481
121b4588a180
13c4217a417
146b4a60252
153dc48ac19
hex25706fc70

10050010224 has 120 divisors (see below), whose sum is σ = 28148122512. Its totient is φ = 3079157760.

The previous prime is 10050010193. The next prime is 10050010231. The reversal of 10050010224 is 42201005001.

10050010224 is digitally balanced in base 2, 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505454 + ... + 1512114.

Almost surely, 210050010224 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 10050010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074061256).

10050010224 is an abundant number, since it is smaller than the sum of its proper divisors (18098112288).

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

10050010224 is a wasteful number, since it uses less digits than its factorization.

10050010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10050010224 its reverse (42201005001), we get a palindrome (52251015225).

The spelling of 10050010224 in words is "ten billion, fifty million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 1849 2064 2193 2924 3698 4386 5547 5848 6661 7396 8772 11094 11696 13322 14792 17544 19983 22188 26644 29584 31433 35088 39966 44376 53288 62866 79932 88752 94299 106576 113237 125732 159864 188598 226474 251464 286423 319728 339711 377196 452948 502928 572846 679422 754392 859269 905896 1145692 1358844 1508784 1718538 1811792 2291384 2717688 3437076 4582768 4869191 5435376 6874152 9738382 12316189 13748304 14607573 19476764 24632378 29215146 36948567 38953528 49264756 58430292 73897134 77907056 98529512 116860584 147794268 197059024 209375213 233721168 295588536 418750426 591177072 628125639 837500852 1256251278 1675001704 2512502556 3350003408 5025005112 10050010224