Search a number
-
+
20222121103020 = 22335118213167953
BaseRepresentation
bin1001001100100010101000…
…10110000100111010101100
32122121012211101111122202000
410212101110112010322230
510122304401000244040
6111001525244132300
74155000004161414
oct446212426047254
978535741448660
1020222121103020
11649717619a361
122327223537090
13b38c26576b85
144dca82205644
152510553ab130
hex126454584eac

20222121103020 has 96 divisors (see below), whose sum is σ = 62918607675840. Its totient is φ = 5392107740160.

The previous prime is 20222121103003. The next prime is 20222121103043. The reversal of 20222121103020 is 2030112122202.

20222121103020 is a `hidden beast` number, since 20 + 22 + 212 + 110 + 302 + 0 = 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 = 20222121102984 and 20222121103002.

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 31 ways as a sum of consecutive naturals, for example, 4799364 + ... + 7967316.

It is an arithmetic number, because the mean of its divisors is an integer number (655402163290).

Almost surely, 220222121103020 is an apocalyptic number.

20222121103020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222121103020 is an abundant number, since it is smaller than the sum of its proper divisors (42696486572820).

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

20222121103020 is a wasteful number, since it uses less digits than its factorization.

20222121103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179792 (or 3179784 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20222121103020 its reverse (2030112122202), we get a palindrome (22252233225222).

The spelling of 20222121103020 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11821 23642 35463 47284 59105 70926 106389 118210 141852 177315 212778 236420 319167 354630 425556 531945 638334 709260 1063890 1276668 1595835 2127780 3167953 3191670 6335906 6383340 9503859 12671812 15839765 19007718 28511577 31679530 38015436 47519295 57023154 63359060 85534731 95038590 114046308 142557885 171069462 190077180 285115770 342138924 427673655 570231540 855347310 1710694620 37448372413 74896744826 112345117239 149793489652 187241862065 224690234478 337035351717 374483724130 449380468956 561725586195 674070703434 748967448260 1011106055151 1123451172390 1348141406868 1685176758585 2022212110302 2246902344780 3370353517170 4044424220604 5055530275755 6740707034340 10111060551510 20222121103020