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20221233201320 = 23517431036714181
BaseRepresentation
bin1001001100100000111110…
…11011000000000010101000
32122121010112111202120120212
410212100133123000002220
510122301041144420240
6111001301205240252
74154636003141624
oct446203733000250
978533474676525
1020221233201320
11649685aa806a8
122327016103088
13b38b14628158
144dc9da318184
1525100246e165
hex12641f6c00a8

20221233201320 has 128 divisors (see below), whose sum is σ = 49773036867840. Its totient is φ = 7363468062720.

The previous prime is 20221233201263. The next prime is 20221233201329. The reversal of 20221233201320 is 2310233212202.

It is not an unprimeable number, because it can be changed into a prime (20221233201329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345371 + ... + 6368810.

It is an arithmetic number, because the mean of its divisors is an integer number (388851850530).

Almost surely, 220221233201320 is an apocalyptic number.

20221233201320 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 20221233201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886518433920).

20221233201320 is an abundant number, since it is smaller than the sum of its proper divisors (29551803666520).

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

20221233201320 is a wasteful number, since it uses less digits than its factorization.

20221233201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714355 (or 6714351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20221233201320 its reverse (2310233212202), we get a palindrome (22531466413522).

The spelling of 20221233201320 in words is "twenty trillion, two hundred twenty-one billion, two hundred thirty-three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 103 136 170 172 206 215 340 344 412 430 515 680 731 824 860 1030 1462 1720 1751 2060 2924 3502 3655 4120 4429 5848 7004 7310 8755 8858 14008 14620 17510 17716 22145 29240 35020 35432 44290 70040 75293 88580 150586 177160 301172 376465 602344 752930 1505860 3011720 6714181 13428362 26856724 33570905 53713448 67141810 114141077 134283620 228282154 268567240 288709783 456564308 570705385 577419566 691560643 913128616 1141410770 1154839132 1383121286 1443548915 2282821540 2309678264 2766242572 2887097830 3457803215 4565643080 4908066311 5532485144 5774195660 6915606430 9816132622 11548391320 11756530931 13831212860 19632265244 23513061862 24540331555 27662425720 29737107649 39264530488 47026123724 49080663110 58782654655 59474215298 94052247448 98161326220 117565309310 118948430596 148685538245 196322652440 235130618620 237896861192 297371076490 470261237240 505530830033 594742152980 1011061660066 1189484305960 2022123320132 2527654150165 4044246640264 5055308300330 10110616600660 20221233201320