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4330013122241 = 435315144328403
BaseRepresentation
bin111111000000101000111…
…001001101111011000001
3120022221112001121022101022
4333000220321031323001
51031420331324402431
613113103000315225
7624555522156542
oct77005071157301
916287461538338
104330013122241
11141a391584924
1259b228772b15
1325541a935171
1410d8065444c9
15779784d607b
hex3f028e4dec1

4330013122241 has 32 divisors (see below), whose sum is σ = 4554623665152. Its totient is φ = 4112586878400.

The previous prime is 4330013122229. The next prime is 4330013122249. The reversal of 4330013122241 is 1422213100334.

4330013122241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4330013122241 - 238 = 4055135215297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4330013122241.

It is not an unprimeable number, because it can be changed into a prime (4330013122249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152434946 + ... + 152463348.

It is an arithmetic number, because the mean of its divisors is an integer number (142331989536).

Almost surely, 24330013122241 is an apocalyptic number.

It is an amenable number.

4330013122241 is a deficient number, since it is larger than the sum of its proper divisors (224610542911).

4330013122241 is a wasteful number, since it uses less digits than its factorization.

4330013122241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29093.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4330013122241 its reverse (1422213100334), we get a palindrome (5752226222575).

The spelling of 4330013122241 in words is "four trillion, three hundred thirty billion, thirteen million, one hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 43 53 151 443 2279 6493 8003 19049 23479 28403 66893 344129 1009597 1221329 1505359 2876399 3545329 4288853 12582529 64730437 152449147 184420679 227309209 541048747 666874037 1899961879 9774295987 28675583591 81698360797 100697979587 4330013122241