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1307217105 = 32597299477
BaseRepresentation
bin100110111101010…
…1000110011010001
310101002202111202100
41031322220303101
510134121421410
6333414111013
744252106405
oct11572506321
93332674670
101307217105
11610987617
1230594b469
1317aa93c5c
14c587d105
1579b688c0
hex4dea8cd1

1307217105 has 24 divisors (see below), whose sum is σ = 2289209832. Its totient is φ = 689992704.

The previous prime is 1307217103. The next prime is 1307217113. The reversal of 1307217105 is 5017127031.

It is a happy number.

1307217105 is digitally balanced in base 4, 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 4 ways, for example, as 207100881 + 1100116224 = 14391^2 + 33168^2 .

It is not a de Polignac number, because 1307217105 - 21 = 1307217103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1307217103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145374 + ... + 154103.

It is an arithmetic number, because the mean of its divisors is an integer number (95383743).

Almost surely, 21307217105 is an apocalyptic number.

1307217105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307217105 is a deficient number, since it is larger than the sum of its proper divisors (981992727).

1307217105 is a wasteful number, since it uses less digits than its factorization.

1307217105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299585 (or 299582 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1307217105 is about 36155.4574718672. The cubic root of 1307217105 is about 1093.4088229798.

The spelling of 1307217105 in words is "one billion, three hundred seven million, two hundred seventeen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 299477 898431 1497385 2695293 4492155 13476465 29049269 87147807 145246345 261443421 435739035 1307217105