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20021022021221 = 13712577601881
BaseRepresentation
bin1001000110101100000011…
…11001111101011001100101
32121212222202110002211110022
410203112001321331121211
510111011023114134341
6110325310333004525
74134320406164324
oct443260171753145
977788673084408
1020021022021221
11641995aa907a1
1222b425b923745
13b22c88638c50
144d30461840bb
1524abd56d2e4b
hex123581e7d665

20021022021221 has 48 divisors (see below), whose sum is σ = 21968314797744. Its totient is φ = 18138193920000.

The previous prime is 20021022021191. The next prime is 20021022021239. The reversal of 20021022021221 is 12212022012002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 549541998721 + 19471480022500 = 741311^2 + 4412650^2 .

It is not a de Polignac number, because 20021022021221 - 218 = 20021021759077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20021022021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021022024221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22725336701 + ... + 22725337581.

It is an arithmetic number, because the mean of its divisors is an integer number (457673224953).

Almost surely, 220021022021221 is an apocalyptic number.

It is an amenable number.

20021022021221 is a deficient number, since it is larger than the sum of its proper divisors (1947292776523).

20021022021221 is an equidigital number, since it uses as much as digits as its factorization.

20021022021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20021022021221 its reverse (12212022012002), we get a palindrome (32233044033223).

The spelling of 20021022021221 in words is "twenty trillion, twenty-one billion, twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 13 71 577 601 881 923 5041 7501 7813 11453 40967 42671 62551 65533 346777 508337 529481 532571 554723 813163 2908657 3029641 4441121 4508101 6608381 6883253 24621167 36091927 37593151 37812541 39385333 57734573 305510537 320075171 469195051 488710963 1748102857 2562526817 2669113721 3971636981 21691248127 22725337141 33312848621 34698478373 281986225651 1540078617017 20021022021221