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20345121441 = 3261193192013
BaseRepresentation
bin10010111100101010…
…011110101010100001
31221111212221020212100
4102330222132222201
5313131322341231
613202454321013
71320112451601
oct227452365241
957455836770
1020345121441
1186a0321957
123b39659169
131bc30433c8
14db0082c01
157e11de1e6
hex4bca9eaa1

20345121441 has 24 divisors (see below), whose sum is σ = 30024077096. Its totient is φ = 13271869440.

The previous prime is 20345121413. The next prime is 20345121449. The reversal of 20345121441 is 14412154302.

20345121441 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 512 + 144 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1992729600 + 18352391841 = 44640^2 + 135471^2 .

It is not a de Polignac number, because 20345121441 - 229 = 19808250529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20345121449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 201963.

Almost surely, 220345121441 is an apocalyptic number.

It is an amenable number.

20345121441 is a deficient number, since it is larger than the sum of its proper divisors (9678955655).

20345121441 is a wasteful number, since it uses less digits than its factorization.

20345121441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192273 (or 192270 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20345121441 its reverse (14412154302), we get a palindrome (34757275743).

The spelling of 20345121441 in words is "twenty billion, three hundred forty-five million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 61 183 193 549 579 1737 11773 35319 105957 192013 576039 1728117 11712793 35138379 37058509 105415137 111175527 333526581 2260569049 6781707147 20345121441