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20201211221022 = 2331372744518893
BaseRepresentation
bin1001001011111011101100…
…00001001101010000011110
32122112012212010212121001000
410211331312001031100132
510121434040033033042
6110544150332531130
74153326563130336
oct445756601152036
978465763777030
1020201211221022
1164893160a9547
122323168920aa6
13b36c73525930
144dba5b1500c6
1525072e81074c
hex125f7604d41e

20201211221022 has 128 divisors (see below), whose sum is σ = 48427599467520. Its totient is φ = 6205115030400.

The previous prime is 20201211221003. The next prime is 20201211221039. The reversal of 20201211221022 is 22012211210202.

It is a happy number.

20201211221022 is a `hidden beast` number, since 20 + 201 + 211 + 2 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20201211220986 and 20201211221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2271581208 + ... + 2271590100.

It is an arithmetic number, because the mean of its divisors is an integer number (378340620840).

Almost surely, 220201211221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201211221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213799733760).

20201211221022 is an abundant number, since it is smaller than the sum of its proper divisors (28226388246498).

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

20201211221022 is a wasteful number, since it uses less digits than its factorization.

20201211221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14095 (or 14089 counting only the distinct ones).

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

Adding to 20201211221022 its reverse (22012211210202), we get a palindrome (42213422431224).

The spelling of 20201211221022 in words is "twenty trillion, two hundred one billion, two hundred eleven million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 727 1454 2181 4362 4451 6543 8893 8902 9451 13086 13353 17786 18902 19629 26679 26706 28353 39258 40059 53358 56706 57863 80037 80118 85059 115609 115726 120177 160074 170118 173589 231218 240111 240354 255177 346827 347178 480222 510354 520767 693654 1040481 1041534 1562301 2080962 3121443 3124602 3235877 6242886 6465211 6471754 9707631 12930422 19395633 19415262 29122893 38791266 39582743 42066401 58186899 58245786 79165486 84047743 84132802 87368679 116373798 118748229 126199203 168095486 174560697 174737358 237496458 252143229 252398406 349121394 356244687 378597609 504286458 514575659 712489374 756429687 757195218 1029151318 1068734061 1135792827 1512859374 1543726977 2137468122 2269289061 2271585654 3087453954 4538578122 4631180931 9262361862 13893542793 27787085586 28776654161 57553308322 86329962483 172659924966 258989887449 374096504093 517979774898 748193008186 776969662347 1122289512279 1553939324694 2244579024558 3366868536837 6733737073674 10100605610511 20201211221022