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4310013105 = 335191680317
BaseRepresentation
bin1000000001110010…
…11001010010110001
3102010101001100111000
410000321121102301
532311330404410
61551402312213
7211543335606
oct40071312261
912111040430
104310013105
111911987702
12a034b8669
13538c17018
142cc5b26ad
151a35b0dc0
hex100e594b1

4310013105 has 32 divisors (see below), whose sum is σ = 8065526400. Its totient is φ = 2177689536.

The previous prime is 4310013047. The next prime is 4310013107. The reversal of 4310013105 is 5013100134.

It is not a de Polignac number, because 4310013105 - 26 = 4310013041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4310013107) 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 31 ways as a sum of consecutive naturals, for example, 837594 + ... + 842723.

It is an arithmetic number, because the mean of its divisors is an integer number (252047700).

Almost surely, 24310013105 is an apocalyptic number.

4310013105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4310013105 is a deficient number, since it is larger than the sum of its proper divisors (3755513295).

4310013105 is a wasteful number, since it uses less digits than its factorization.

4310013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680350 (or 1680344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4310013105 is about 65650.6900573025. The cubic root of 4310013105 is about 1627.3945736461.

Adding to 4310013105 its reverse (5013100134), we get a palindrome (9323113239).

The spelling of 4310013105 in words is "four billion, three hundred ten million, thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 1680317 5040951 8401585 15122853 25204755 31926023 45368559 75614265 95778069 159630115 226842795 287334207 478890345 862002621 1436671035 4310013105