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4130303442201 = 3653089106721
BaseRepresentation
bin111100000110101001010…
…001001111110100011001
3112121212000221121102000000
4330012221101033310121
51020132330140122301
612441234001003213
7604255524664446
oct74065121176431
915555027542000
104130303442201
111352719686382
12568592323509
1323c641804a61
14103c9cc369cd
157268a7ac786
hex3c1a944fd19

4130303442201 has 28 divisors (see below), whose sum is σ = 6192796981140. Its totient is φ = 2753457960960.

The previous prime is 4130303442163. The next prime is 4130303442203. The reversal of 4130303442201 is 1022443030314.

4130303442201 is a `hidden beast` number, since 4 + 13 + 0 + 3 + 0 + 3 + 442 + 201 = 666.

4130303442201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1342472139801 + 2787831302400 = 1158651^2 + 1669680^2 .

It is not a de Polignac number, because 4130303442201 - 217 = 4130303311129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4130303442203) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38648521 + ... + 38755241.

It is an arithmetic number, because the mean of its divisors is an integer number (221171320755).

Almost surely, 24130303442201 is an apocalyptic number.

It is an amenable number.

4130303442201 is a deficient number, since it is larger than the sum of its proper divisors (2062493538939).

4130303442201 is an equidigital number, since it uses as much as digits as its factorization.

4130303442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159828 (or 159813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4130303442201 its reverse (1022443030314), we get a palindrome (5152746472515).

The spelling of 4130303442201 in words is "four trillion, one hundred thirty billion, three hundred three million, four hundred forty-two thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 53089 106721 159267 320163 477801 960489 1433403 2881467 4300209 8644401 12900627 25933203 38701881 77799609 5665711169 16997133507 50991400521 152974201563 458922604689 1376767814067 4130303442201