Search a number
-
+
20121222210021 = 34650893816469
BaseRepresentation
bin1001001001100110101100…
…10011010110000111100101
32122020120101120102211010000
410210303112103112013211
510114131230341210041
6110443321210451513
74144465433554542
oct444632623260745
978216346384100
1020121222210021
1164583a9418689
12230b764733b99
13b2c56676a8aa
144d7c2da35bc9
1524d5ec2b2bb6
hex124cd64d61e5

20121222210021 has 20 divisors (see below), whose sum is σ = 30058097908300. Its totient is φ = 13413938535936.

The previous prime is 20121222209971. The next prime is 20121222210029. The reversal of 20121222210021 is 12001222212102.

It is a happy number.

20121222210021 is a `hidden beast` number, since 201 + 212 + 22 + 210 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13864370333121 + 6256851876900 = 3723489^2 + 2501370^2 .

It is not a de Polignac number, because 20121222210021 - 29 = 20121222209509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20121222209976 and 20121222210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121222210029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3363975 + ... + 7180443.

It is an arithmetic number, because the mean of its divisors is an integer number (1502904895415).

Almost surely, 220121222210021 is an apocalyptic number.

It is an amenable number.

20121222210021 is a deficient number, since it is larger than the sum of its proper divisors (9936875698279).

20121222210021 is an equidigital number, since it uses as much as digits as its factorization.

20121222210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881570 (or 3881561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121222210021 its reverse (12001222212102), we get a palindrome (32122444422123).

The spelling of 20121222210021 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 27 81 65089 195267 585801 1757403 3816469 5272209 11449407 34348221 103044663 309133989 248410150741 745230452223 2235691356669 6707074070007 20121222210021