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20330503041 = 329253152039
BaseRepresentation
bin10010111011110010…
…101101101110000001
31221110212102120012010
4102323302231232001
5313114102044131
613201213123133
71316544265422
oct227362555601
957425376163
1020330503041
118693047932
123b347894a9
131bbccc5674
14dac159649
157deca2b46
hex4bbcadb81

20330503041 has 24 divisors (see below), whose sum is σ = 28604197440. Its totient is φ = 12839305024.

The previous prime is 20330503019. The next prime is 20330503051. The reversal of 20330503041 is 14030503302.

It is a de Polignac number, because none of the positive numbers 2k-20330503041 is a prime.

It is a super-2 number, since 2×203305030412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20330502999 and 20330503017.

It is not an unprimeable number, because it can be changed into a prime (20330503051) 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, 57700 + ... + 209738.

It is an arithmetic number, because the mean of its divisors is an integer number (1191841560).

Almost surely, 220330503041 is an apocalyptic number.

It is an amenable number.

20330503041 is a deficient number, since it is larger than the sum of its proper divisors (8273694399).

20330503041 is a wasteful number, since it uses less digits than its factorization.

20330503041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152153 (or 152124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The spelling of 20330503041 in words is "twenty billion, three hundred thirty million, five hundred three thousand, forty-one".

Divisors: 1 3 29 53 87 159 841 1537 2523 4611 44573 133719 152039 456117 4409131 8058067 13227393 24174201 127864799 233683943 383594397 701051829 6776834347 20330503041