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200021201120202 = 2371110319792123983
BaseRepresentation
bin101101011110101100010000…
…101000111110101111001010
3222020012211200102021112222120
4231132230100220332233022
5202204121404441321302
61545224245443032110
760063024554003550
oct5536542050765712
9866184612245876
10200021201120202
11588075735437a0
121a52554766b636
13877bbc2760b17
14375711364bbd0
15181d0254b79bc
hexb5eb10a3ebca

200021201120202 has 128 divisors (see below), whose sum is σ = 503851144642560. Its totient is φ = 51423133487040.

The previous prime is 200021201120179. The next prime is 200021201120203. The reversal of 200021201120202 is 202021102120002.

It is not an unprimeable number, because it can be changed into a prime (200021201120203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93110703 + ... + 95234685.

It is an arithmetic number, because the mean of its divisors is an integer number (3936337067520).

Almost surely, 2200021201120202 is an apocalyptic number.

200021201120202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200021201120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251925572321280).

200021201120202 is an abundant number, since it is smaller than the sum of its proper divisors (303829943522358).

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

200021201120202 is a wasteful number, since it uses less digits than its factorization.

200021201120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126088.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200021201120202 its reverse (202021102120002), we get a palindrome (402042303240204).

The spelling of 200021201120202 in words is "two hundred trillion, twenty-one billion, two hundred one million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 1133 1442 1979 2163 2266 3399 3958 4326 5937 6798 7931 11874 13853 15862 21769 23793 27706 41559 43538 47586 65307 83118 130614 152383 203837 304766 407674 457149 611511 914298 1223022 1426859 2123983 2242207 2853718 4247966 4280577 4484414 6371949 6726621 8561154 12743898 13453242 14867881 15695449 23363813 29735762 31390898 44603643 46727626 47086347 70091439 89207286 94172694 140182878 163546691 218770249 327093382 437540498 490640073 656310747 981280146 1312621494 1531391743 2406472739 3062783486 4203362357 4594175229 4812945478 7219418217 8406724714 9188350458 12610087071 14438836434 16845309173 25220174142 29423536499 33690618346 46236985927 50535927519 58847072998 88270609497 92473971854 101071855038 138710957781 176541218994 277421915562 323658901489 432946322771 647317802978 865892645542 970976704467 1298838968313 1941953408934 2597677936626 3030624259397 4762409550481 6061248518794 9091872778191 9524819100962 14287228651443 18183745556382 28574457302886 33336866853367 66673733706734 100010600560101 200021201120202