Search a number
-
+
20033113122321 = 31319132720373203
BaseRepresentation
bin1001000111000010100101…
…00101110110011000010001
32121221010222002122102000120
410203201102211312120101
510111210303424403241
6110335030215140453
74135226134641045
oct443412245663021
977833862572016
1020033113122321
116423aa5105a32
1222b6675074729
13b24164619940
144d3871d18025
1524b191e4b666
hex123852976611

20033113122321 has 32 divisors (see below), whose sum is σ = 30302288701440. Its totient is φ = 11670422048064.

The previous prime is 20033113122307. The next prime is 20033113122343. The reversal of 20033113122321 is 12322131133002.

It is not a de Polignac number, because 20033113122321 - 210 = 20033113121297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20033113122291 and 20033113122300.

It is not an unprimeable number, because it can be changed into a prime (20033113122301) 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 31 ways as a sum of consecutive naturals, for example, 9203295 + ... + 11169908.

It is an arithmetic number, because the mean of its divisors is an integer number (946946521920).

Almost surely, 220033113122321 is an apocalyptic number.

It is an amenable number.

20033113122321 is a deficient number, since it is larger than the sum of its proper divisors (10269175579119).

20033113122321 is a wasteful number, since it uses less digits than its factorization.

20033113122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20374565.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20033113122321 its reverse (12322131133002), we get a palindrome (32355244255323).

The spelling of 20033113122321 in words is "twenty trillion, thirty-three billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 13 19 39 57 247 741 1327 3981 17251 25213 51753 75639 327769 983307 20373203 61119609 264851639 387090857 794554917 1161272571 5032181141 15096543423 27035240381 81105721143 351458124953 513669567239 1054374374859 1541008701717 6677704374107 20033113122321