Search a number
-
+
20322020211300 = 223252103292774897
BaseRepresentation
bin1001001111011100101101…
…10010111011101001100100
32122221202200112022011120100
410213232112302323221210
510130423444133230200
6111115450204504100
74165134414452103
oct447562662735144
978852615264510
1020322020211300
11652557a684a75
12234266354b030
13b454871bcc72
1450383bac203a
15253950816d00
hex127b96cbba64

20322020211300 has 216 divisors, whose sum is σ = 64339505508096. Its totient is φ = 5364686638080.

The previous prime is 20322020211281. The next prime is 20322020211301. The reversal of 20322020211300 is 311202022302.

20322020211300 is a `hidden beast` number, since 2 + 0 + 322 + 0 + 20 + 21 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20322020211301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271295452 + ... + 271370348.

It is an arithmetic number, because the mean of its divisors is an integer number (297868081056).

Almost surely, 220322020211300 is an apocalyptic number.

20322020211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322020211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32169752754048).

20322020211300 is an abundant number, since it is smaller than the sum of its proper divisors (44017485296796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20322020211300 is a wasteful number, since it uses less digits than its factorization.

20322020211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77947 (or 77937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20322020211300 its reverse (311202022302), we get a palindrome (20633222233602).

The spelling of 20322020211300 in words is "twenty trillion, three hundred twenty-two billion, twenty million, two hundred eleven thousand, three hundred".