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20221210222120 = 23541431454319717
BaseRepresentation
bin1001001100100000111100…
…00011010101111000101000
32122121010110220112010001101
410212100132003111320220
510122301014304101440
6111001255024531144
74154635303624105
oct446203603257050
978533426463041
1020221210222120
116496849006026
12232700a480ab4
13b38b0c9409ab
144dc9d7255aac
1525100043069a
hex12641e0d5e28

20221210222120 has 128 divisors (see below), whose sum is σ = 47697015421440. Its totient is φ = 7706766735360.

The previous prime is 20221210222111. The next prime is 20221210222133. The reversal of 20221210222120 is 2122201212202.

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, 1025562502 + ... + 1025582218.

It is an arithmetic number, because the mean of its divisors is an integer number (372632932980).

Almost surely, 220221210222120 is an apocalyptic number.

20221210222120 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 20221210222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848507710720).

20221210222120 is an abundant number, since it is smaller than the sum of its proper divisors (27475805199320).

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

20221210222120 is a wasteful number, since it uses less digits than its factorization.

20221210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34355 (or 34351 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20221210222120 its reverse (2122201212202), we get a palindrome (22343411434322).

The spelling of 20221210222120 in words is "twenty trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 1640 1720 1763 3526 7052 8815 14104 14543 17630 19717 29086 35260 39434 58172 70520 72715 78868 98585 116344 145430 157736 197170 290860 394340 581720 596263 625349 788680 808397 847831 1192526 1250698 1616794 1695662 2385052 2501396 2981315 3126745 3233588 3391324 4041985 4239155 4770104 5002792 5962630 6253490 6467176 6782648 8083970 8478310 11925260 12506980 16167940 16956620 23850520 25013960 25639309 32335880 33913240 34761071 51278618 69522142 102557236 128196545 139044284 173805355 205114472 256393090 278088568 286744331 347610710 512786180 573488662 695221420 1025572360 1146977324 1390442840 1433721655 2293954648 2867443310 5734886620 11469773240 11756517571 12330006233 23513035142 24660012466 47026070284 49320024932 58782587855 61650031165 94052140568 98640049864 117565175710 123300062330 235130351420 246600124660 470260702840 493200249320 505530255553 1011060511106 2022121022212 2527651277765 4044242044424 5055302555530 10110605111060 20221210222120