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20221020122202 = 23219293136513803
BaseRepresentation
bin1001001100100000100101…
…01110001010110001011010
32122121002222122211000222200
410212100102232022301122
510122300122122402302
6111001224114231030
74154630505041664
oct446202256126132
978532878730880
1020221020122202
116496760775159
122326b76885476
13b38aac441933
144dc9b9ccd534
15250edd8ce81c
hex126412b8ac5a

20221020122202 has 96 divisors (see below), whose sum is σ = 47860826270400. Its totient is φ = 6145694021376.

The previous prime is 20221020122159. The next prime is 20221020122243. The reversal of 20221020122202 is 20222102012202.

20221020122202 is a `hidden beast` number, since 20 + 221 + 0 + 201 + 2 + 220 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 152568 + ... + 6361235.

It is an arithmetic number, because the mean of its divisors is an integer number (498550273650).

Almost surely, 220221020122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221020122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930413135200).

20221020122202 is an abundant number, since it is smaller than the sum of its proper divisors (27639806148198).

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

20221020122202 is a wasteful number, since it uses less digits than its factorization.

20221020122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514172 (or 6514169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20221020122202 its reverse (20222102012202), we get a palindrome (40443122134404).

The spelling of 20221020122202 in words is "twenty trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 313 342 522 551 626 939 1102 1653 1878 2817 3306 4959 5634 5947 9077 9918 11894 17841 18154 27231 35682 53523 54462 81693 107046 163386 172463 344926 517389 1034778 1552167 3104334 6513803 13027606 19541409 39082818 58624227 117248454 123762257 188900287 247524514 371286771 377800574 566700861 742573542 1113860313 1133401722 1700102583 2038820339 2227720626 3400205166 3589105453 4077640678 6116461017 7178210906 10767316359 12232922034 18349383051 21534632718 32301949077 36698766102 38737586441 59125789831 64603898154 77475172882 116212759323 118251579662 177377369493 232425518646 348638277969 354754738986 532132108479 697276555938 1064264216958 1123390006789 2246780013578 3370170020367 6740340040734 10110510061101 20221020122202