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230300301 = 37111019871
BaseRepresentation
bin11011011101000…
…01101010001101
3121001100110121210
431232201222031
5432424102201
634504045033
75464343310
oct1556415215
9531313553
10230300301
11108aa9030
1265163779
1338935b8a
142282c977
15153421d6
hexdba1a8d

230300301 has 32 divisors (see below), whose sum is σ = 386666496. Its totient is φ = 118440000.

The previous prime is 230300267. The next prime is 230300341. The reversal of 230300301 is 103003032.

230300301 = 1802 + 1812 + ... + 8862.

It is a happy number.

It is not a de Polignac number, because 230300301 - 211 = 230298253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230300341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18396 + ... + 28266.

It is an arithmetic number, because the mean of its divisors is an integer number (12083328).

Almost surely, 2230300301 is an apocalyptic number.

230300301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230300301 is a deficient number, since it is larger than the sum of its proper divisors (156366195).

230300301 is a wasteful number, since it uses less digits than its factorization.

230300301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 230300301 is about 15175.6482892824. The cubic root of 230300301 is about 612.9591069024.

Adding to 230300301 its reverse (103003032), we get a palindrome (333303333).

It can be divided in two parts, 2 and 30300301, that added together give a palindrome (30300303).

The spelling of 230300301 in words is "two hundred thirty million, three hundred thousand, three hundred one".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 9871 23331 29613 69097 108581 207291 325743 760067 996971 2280201 2990913 6978797 10966681 20936391 32900043 76766767 230300301