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13430411241 = 313229913447
BaseRepresentation
bin11001000001000001…
…11100111111101001
31021122222200120200120
430200200330333221
5210001141124431
610100404153453
7653550416622
oct144040747751
937588616616
1013430411241
115772131825
122729998889
131360600500
149159a8a49
15539121196
hex32083cfe9

13430411241 has 24 divisors (see below), whose sum is σ = 20059318080. Its totient is φ = 7979864256.

The previous prime is 13430411237. The next prime is 13430411273. The reversal of 13430411241 is 14211403431.

13430411241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13430411241 - 22 = 13430411237 is a prime.

It is a super-2 number, since 2×134304112412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13430418241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442021 + ... + 471426.

It is an arithmetic number, because the mean of its divisors is an integer number (835804920).

Almost surely, 213430411241 is an apocalyptic number.

It is an amenable number.

13430411241 is a deficient number, since it is larger than the sum of its proper divisors (6628906839).

13430411241 is a wasteful number, since it uses less digits than its factorization.

13430411241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913505 (or 913492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13430411241 its reverse (14211403431), we get a palindrome (27641814672).

The spelling of 13430411241 in words is "thirteen billion, four hundred thirty million, four hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 13 29 39 87 169 377 507 1131 4901 14703 913447 2740341 11874811 26489963 35624433 79469889 154372543 344369519 463117629 1033108557 4476803747 13430411241