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13001643 = 3219139547
BaseRepresentation
bin110001100110…
…001110101011
3220110112220100
4301212032223
511312023033
61142400443
7215340444
oct61461653
926415810
1013001643
117380366
124430123
132902ba5
141a262cb
15121c513
hexc663ab

13001643 has 24 divisors (see below), whose sum is σ = 19947200. Its totient is φ = 8137584.

The previous prime is 13001627. The next prime is 13001663. The reversal of 13001643 is 34610031.

13001643 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001643 - 24 = 13001627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001603) 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 23 ways as a sum of consecutive naturals, for example, 23496 + ... + 24042.

Almost surely, 213001643 is an apocalyptic number.

13001643 is a deficient number, since it is larger than the sum of its proper divisors (6945557).

13001643 is a wasteful number, since it uses less digits than its factorization.

13001643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13001643 is about 3605.7791113711. The cubic root of 13001643 is about 235.1433741058.

Adding to 13001643 its reverse (34610031), we get a palindrome (47611674).

The spelling of 13001643 in words is "thirteen million, one thousand, six hundred forty-three".

Divisors: 1 3 9 19 57 139 171 417 547 1251 1641 2641 4923 7923 10393 23769 31179 76033 93537 228099 684297 1444627 4333881 13001643