Search a number
-
+
20010020121220 = 2251576372617873
BaseRepresentation
bin1001000110010111100100…
…01001000010101010000100
32121211221100201002101220111
410203023302021002222010
510110321010122334340
6110320250520042404
74133450644446163
oct443136211025204
977757321071814
1020010020121220
116415224775458
1222b20ab303404
13b21c241c784c
144d26c0d3b3da
1524a78e8baaea
hex1232f2242a84

20010020121220 has 24 divisors (see below), whose sum is σ = 42288692211864. Its totient is φ = 7953027104256.

The previous prime is 20010020121197. The next prime is 20010020121229. The reversal of 20010020121220 is 2212102001002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1650217713664 + 18359802407556 = 1284608^2 + 4284834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20010020121220.

It is not an unprimeable number, because it can be changed into a prime (20010020121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3186305797 + ... + 3186312076.

It is an arithmetic number, because the mean of its divisors is an integer number (1762028842161).

Almost surely, 220010020121220 is an apocalyptic number.

20010020121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010020121220 is an abundant number, since it is smaller than the sum of its proper divisors (22278672090644).

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

20010020121220 is a wasteful number, since it uses less digits than its factorization.

20010020121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372618039 (or 6372618037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20010020121220 its reverse (2212102001002), we get a palindrome (22222122122222).

The spelling of 20010020121220 in words is "twenty trillion, ten billion, twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 6372617873 12745235746 25490471492 31863089365 63726178730 127452357460 1000501006061 2001002012122 4002004024244 5002505030305 10005010060610 20010020121220