Search a number
-
+
20350023313041 = 3229179294348789
BaseRepresentation
bin1001010000010000110111…
…11010010010011010010001
32200001102222010002010111200
410220020123322102122101
510131403321432004131
6111140401024301413
74200145356055122
oct450103372223221
980042863063450
1020350023313041
11653643a6aa864
122347b79771869
13b47cca955756
14504d36c3c049
1525453de922e6
hex12821be92691

20350023313041 has 24 divisors (see below), whose sum is σ = 30409783833000. Its totient is φ = 13098131972352.

The previous prime is 20350023313033. The next prime is 20350023313051. The reversal of 20350023313041 is 14031332005302.

20350023313041 is a `hidden beast` number, since 2 + 0 + 3 + 500 + 23 + 3 + 130 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119107814400 + 20230915498641 = 345120^2 + 4497879^2 .

It is not a de Polignac number, because 20350023313041 - 23 = 20350023313033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20350023312996 and 20350023313014.

It is not an unprimeable number, because it can be changed into a prime (20350023313051) 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 23 ways as a sum of consecutive naturals, for example, 2505075 + ... + 6853863.

It is an arithmetic number, because the mean of its divisors is an integer number (1267074326375).

Almost surely, 220350023313041 is an apocalyptic number.

It is an amenable number.

20350023313041 is a deficient number, since it is larger than the sum of its proper divisors (10059760519959).

20350023313041 is a wasteful number, since it uses less digits than its factorization.

20350023313041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366753 (or 4366750 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 20350023313041 its reverse (14031332005302), we get a palindrome (34381355318343).

The spelling of 20350023313041 in words is "twenty trillion, three hundred fifty billion, twenty-three million, three hundred thirteen thousand, forty-one".

Divisors: 1 3 9 29 87 261 17929 53787 161361 519941 1559823 4348789 4679469 13046367 39139101 126114881 378344643 1135033929 77969437981 233908313943 701724941829 2261113701449 6783341104347 20350023313041