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221120012120202 = 2361341284539993
BaseRepresentation
bin110010010001101110000011…
…110001100111000010001010
31001222220212101211111101000000
4302101232003301213002022
5212440312241100321302
62102141044202223430
764401252014310636
oct6221560361470212
91058825354441000
10221120012120202
116450151a289498
12209726587b4b76
13964c6b23aa410
143c863a10a7dc6
151a86c8b73831c
hexc91b83c6708a

221120012120202 has 112 divisors (see below), whose sum is σ = 548607904511688. Its totient is φ = 66377489333760.

The previous prime is 221120012120191. The next prime is 221120012120237. The reversal of 221120012120202 is 202021210021122.

It is a happy number.

221120012120202 is a `hidden beast` number, since 221 + 1 + 200 + 1 + 21 + 20 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77987956304241 + 143132055815961 = 8831079^2 + 11963781^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141492883 + ... + 143047110.

Almost surely, 2221120012120202 is an apocalyptic number.

221120012120202 is an abundant number, since it is smaller than the sum of its proper divisors (327487892391486).

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

221120012120202 is a wasteful number, since it uses less digits than its factorization.

221120012120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284540067 (or 284540052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221120012120202 its reverse (202021210021122), we get a palindrome (423141222141324).

The spelling of 221120012120202 in words is "two hundred twenty-one trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 243 246 351 369 486 533 702 729 738 1053 1066 1107 1458 1599 2106 2214 3159 3198 3321 4797 6318 6642 9477 9594 9963 14391 18954 19926 28782 29889 43173 59778 86346 129519 259038 388557 777114 284539993 569079986 853619979 1707239958 2560859937 3699019909 5121719874 7398039818 7682579811 11097059727 11666139713 15365159622 22194119454 23047739433 23332279426 33291179181 34998419139 46095478866 66582358362 69143218299 69996838278 99873537543 104995257417 138286436598 151659816269 199747075086 207429654897 209990514834 299620612629 303319632538 314985772251 414859309794 454979448807 599241225258 629971544502 898861837887 909958897614 944957316753 1364938346421 1797723675774 1889914633506 2696585513661 2729876692842 2834871950259 4094815039263 5393171027322 5669743900518 8189630078526 8504615850777 12284445117789 17009231701554 24568890235578 36853335353367 73706670706734 110560006060101 221120012120202