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20020222100221 = 729373769115693
BaseRepresentation
bin1001000110101010100100…
…01110100000001011111101
32121212220200200220122010121
410203111102032200023331
510111002403324201341
6110325055115534541
74134261524030200
oct443252216401375
977786620818117
1020020222100221
11641958a4a4262
1222b4077a5a451
13b22b8b9b3005
144d2dabc39937
1524ab8a3744d1
hex1235523a02fd

20020222100221 has 24 divisors (see below), whose sum is σ = 23320071673080. Its totient is φ = 17137180150272.

The previous prime is 20020222100173. The next prime is 20020222100227. The reversal of 20020222100221 is 12200122202002.

It can be written as a sum of positive squares in 4 ways, for example, as 151896488121 + 19868325612100 = 389739^2 + 4457390^2 .

It is not a de Polignac number, because 20020222100221 - 219 = 20020221575933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20020222100195 and 20020222100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020222100227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172988251 + ... + 173103943.

It is an arithmetic number, because the mean of its divisors is an integer number (971669653045).

Almost surely, 220020222100221 is an apocalyptic number.

It is an amenable number.

20020222100221 is a deficient number, since it is larger than the sum of its proper divisors (3299849572859).

20020222100221 is a wasteful number, since it uses less digits than its factorization.

20020222100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120413 (or 120406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20020222100221 its reverse (12200122202002), we get a palindrome (32220344302223).

The spelling of 20020222100221 in words is "twenty trillion, twenty billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 7 49 937 3769 6559 26383 45913 115693 184681 809851 3531553 5668957 24720871 108404341 173046097 436046917 758830387 3052328419 5311812709 21366298933 408575961229 2860031728603 20020222100221