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305135201 = 733128697
BaseRepresentation
bin10010001011111…
…111111001100001
3210021011110210202
4102023333321201
51111103311301
650140034545
710363415000
oct2213777141
9707143722
10305135201
11147271658
1286232a55
134b2a8297
142c74cc37
151bbc566b
hex122ffe61

305135201 has 16 divisors (see below), whose sum is σ = 367334400. Its totient is φ = 253098720.

The previous prime is 305135113. The next prime is 305135203. The reversal of 305135201 is 102531503.

It is not a de Polignac number, because 305135201 - 214 = 305118817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305135203) 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 15 ways as a sum of consecutive naturals, for example, 3716 + ... + 24981.

It is an arithmetic number, because the mean of its divisors is an integer number (22958400).

Almost surely, 2305135201 is an apocalyptic number.

305135201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

305135201 is a deficient number, since it is larger than the sum of its proper divisors (62199199).

305135201 is an equidigital number, since it uses as much as digits as its factorization.

305135201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28749 (or 28735 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 305135201 is about 17468.1195610747. The cubic root of 305135201 is about 673.2309973927.

Adding to 305135201 its reverse (102531503), we get a palindrome (407666704).

The spelling of 305135201 in words is "three hundred five million, one hundred thirty-five thousand, two hundred one".

Divisors: 1 7 31 49 217 343 1519 10633 28697 200879 889607 1406153 6227249 9843071 43590743 305135201