Search a number
-
+
20021022220221 = 32111032991765629
BaseRepresentation
bin1001000110101100000011…
…11010101101111110111101
32121212222202110110221102200
410203112001322231332331
510111011023142021341
6110325310341142113
74134320410653441
oct443260172557675
977788673427380
1020021022220221
116419960107260
1222b425b9ba939
13b22c886a86b9
144d30461d6821
1524abd5721db6
hex123581eadfbd

20021022220221 has 48 divisors (see below), whose sum is σ = 31856121548160. Its totient is φ = 12015562757760.

The previous prime is 20021022220201. The next prime is 20021022220231. The reversal of 20021022220221 is 12202222012002.

20021022220221 is a `hidden beast` number, since 200 + 2 + 1 + 0 + 22 + 220 + 221 = 666.

It is not a de Polignac number, because 20021022220221 - 213 = 20021022212029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20021022220194 and 20021022220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021022220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305030835 + ... + 305096463.

It is an arithmetic number, because the mean of its divisors is an integer number (663669198920).

Almost surely, 220021022220221 is an apocalyptic number.

It is an amenable number.

20021022220221 is a deficient number, since it is larger than the sum of its proper divisors (11835099327939).

20021022220221 is a wasteful number, since it uses less digits than its factorization.

20021022220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95666 (or 95663 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20021022220221 its reverse (12202222012002), we get a palindrome (32223244232223).

The spelling of 20021022220221 in words is "twenty trillion, twenty-one billion, twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 10197 29917 65629 89751 196887 269253 329087 590661 721919 987261 2165757 2961783 3081451 6497271 6759787 9244353 20279361 27733059 33895961 60838083 74357657 101687883 223072971 305063649 669218913 1963422793 5890268379 17670805137 21597650723 64792952169 194378856507 202232547679 606697643037 1820092929111 2224558024469 6673674073407 20021022220221