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3002220020033 = 131729468438137
BaseRepresentation
bin101011101100000010010…
…000100000000101000001
3101122000020212121222102022
4223230002100200011001
5343142021311120113
610215111214131225
7426621545054513
oct53540220400501
911560225558368
103002220020033
11a58263a2a683
12405a254b0b15
1318a153750b20
14a5445aa5bb3
15531645b7908
hex2bb02420141

3002220020033 has 16 divisors (see below), whose sum is σ = 3541392323280. Its totient is φ = 2518323419136.

The previous prime is 3002220019987. The next prime is 3002220020039. The reversal of 3002220020033 is 3300200222003.

It can be written as a sum of positive squares in 8 ways, for example, as 146430971569 + 2855789048464 = 382663^2 + 1689908^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002220020033 - 210 = 3002220019009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3002220019993 and 3002220020020.

It is not an unprimeable number, because it can be changed into a prime (3002220020039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234212660 + ... + 234225477.

It is an arithmetic number, because the mean of its divisors is an integer number (221337020205).

Almost surely, 23002220020033 is an apocalyptic number.

It is an amenable number.

3002220020033 is a deficient number, since it is larger than the sum of its proper divisors (539172303247).

3002220020033 is a wasteful number, since it uses less digits than its factorization.

3002220020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468438196.

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 3002220020033 its reverse (3300200222003), we get a palindrome (6302420242036).

The spelling of 3002220020033 in words is "three trillion, two billion, two hundred twenty million, twenty thousand, thirty-three".

Divisors: 1 13 17 29 221 377 493 6409 468438137 6089695781 7963448329 13584705973 103524828277 176601177649 230940001541 3002220020033