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305203105 = 5292181401
BaseRepresentation
bin10010001100010…
…000011110100001
3210021021220221201
4102030100132201
51111112444410
650141321201
710364116654
oct2214203641
9707256851
10305203105
11147308679
1286266201
134b30016c
142c76989b
151bbda83a
hex123107a1

305203105 has 24 divisors (see below), whose sum is σ = 382355064. Its totient is φ = 233856000.

The previous prime is 305203103. The next prime is 305203117. The reversal of 305203105 is 501302503.

It can be written as a sum of positive squares in 12 ways, for example, as 54582544 + 250620561 = 7388^2 + 15831^2 .

It is not a de Polignac number, because 305203105 - 21 = 305203103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760905 + ... + 761305.

It is an arithmetic number, because the mean of its divisors is an integer number (15931461).

Almost surely, 2305203105 is an apocalyptic number.

It is an amenable number.

305203105 is a deficient number, since it is larger than the sum of its proper divisors (77151959).

305203105 is a wasteful number, since it uses less digits than its factorization.

305203105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 305203105 is about 17470.0631080715. The cubic root of 305203105 is about 673.2809333848.

Adding to 305203105 its reverse (501302503), we get a palindrome (806505608).

The spelling of 305203105 in words is "three hundred five million, two hundred three thousand, one hundred five".

Divisors: 1 5 29 145 181 401 841 905 2005 4205 5249 11629 26245 58145 72581 152221 337241 362905 761105 1686205 2104849 10524245 61040621 305203105