Search a number
-
+
20221001021221 = 7311131496927541
BaseRepresentation
bin1001001100100000100011…
…00101010011011100100101
32122121002221022212121100221
410212100101211103130211
510122300102230134341
6111001222153004341
74154630153506000
oct446202145233445
978532838777327
1020221001021221
116496750a09320
122326b703b36b1
13b38aa84b4790
144dc9b755a537
15250edbda9ed1
hex126411953725

20221001021221 has 64 divisors (see below), whose sum is σ = 27706811328000. Its totient is φ = 14543076441600.

The previous prime is 20221001021209. The next prime is 20221001021237. The reversal of 20221001021221 is 12212010012202.

It is a happy number.

It is not a de Polignac number, because 20221001021221 - 211 = 20221001019173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20221001021195 and 20221001021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221001021201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 734200711 + ... + 734228251.

It is an arithmetic number, because the mean of its divisors is an integer number (432918927000).

Almost surely, 220221001021221 is an apocalyptic number.

It is an amenable number.

20221001021221 is a deficient number, since it is larger than the sum of its proper divisors (7485810306779).

20221001021221 is a wasteful number, since it uses less digits than its factorization.

20221001021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42541 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20221001021221 its reverse (12212010012202), we get a palindrome (32433011033423).

The spelling of 20221001021221 in words is "twenty trillion, two hundred twenty-one billion, one million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 3773 4459 7007 14969 27541 49049 104783 164659 192787 194597 302951 358033 733481 1152613 1349509 1362179 2120657 2140567 2506231 3938363 5134367 8068291 9446563 9535253 14844599 14983969 17543617 27568541 56478037 66746771 103912193 104887783 122805319 192979787 412261229 734214481 1350858509 2885828603 4534873519 5359395977 20200800221 31744114633 37515771839 58953355747 141405601547 222208802431 262610402873 412673490229 1555461617017 1838272820111 2888714431603 20221001021221