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20221022021000 = 2353317120153113
BaseRepresentation
bin1001001100100000100101…
…10101011010010110001000
32122121002222210101111122112
410212100102311122112020
510122300123114133000
6111001224223041452
74154630530140563
oct446202265322610
978532883344575
1020221022021000
116496761851809
122326b77440288
13b38aac957c98
144dc9ba2654da
15250eddb57235
hex126412d5a588

20221022021000 has 128 divisors (see below), whose sum is σ = 47506873995360. Its totient is φ = 8056028160000.

The previous prime is 20221022020993. The next prime is 20221022021041. The reversal of 20221022021000 is 12022012202.

It can be written as a sum of positive squares in 16 ways, for example, as 11563386648004 + 8657635372996 = 3400498^2 + 2942386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380690444 + ... + 380743556.

Almost surely, 220221022021000 is an apocalyptic number.

20221022021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23753436997680).

20221022021000 is an abundant number, since it is smaller than the sum of its proper divisors (27285851974360).

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

20221022021000 is a wasteful number, since it uses less digits than its factorization.

20221022021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54652 (or 54638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20221022021000 its reverse (12022012202), we get a palindrome (20233044033202).

The spelling of 20221022021000 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 317 500 634 1000 1201 1268 1585 2402 2536 3170 4804 6005 6340 7925 9608 12010 12680 15850 24020 30025 31700 39625 48040 53113 60050 63400 79250 106226 120100 150125 158500 212452 240200 265565 300250 317000 380717 424904 531130 600500 761434 1062260 1201000 1327825 1522868 1903585 2124520 2655650 3045736 3807170 5311300 6639125 7614340 9517925 10622600 13278250 15228680 16836821 19035850 26556500 33673642 38071700 47589625 53113000 63788713 67347284 76143400 84184105 95179250 127577426 134694568 168368210 190358500 255154852 318943565 336736420 380717000 420920525 510309704 637887130 673472840 841841050 1275774260 1594717825 1683682100 2104602625 2551548520 3189435650 3367364200 4209205250 6378871300 7973589125 8418410500 12757742600 15947178250 16836821000 20221022021 31894356500 40442044042 63788713000 80884088084 101105110105 161768176168 202210220210 404420440420 505525550525 808840880840 1011051101050 2022102202100 2527627752625 4044204404200 5055255505250 10110511010500 20221022021000