Search a number
-
+
300090808809 = 32112860932009
BaseRepresentation
bin1000101110111101100…
…11100101100111101001
31001200120211210121000100
410113132303211213221
514404041221340214
6345505415300013
730452346534141
oct4273663454751
91050524717010
10300090808809
111062a4490300
124a1ab97a609
13223b58a4a2c
141074b21d921
157c1564a309
hex45dece59e9

300090808809 has 36 divisors (see below), whose sum is σ = 476522946900. Its totient is φ = 181846410240.

The previous prime is 300090808753. The next prime is 300090808819. The reversal of 300090808809 is 908808090003.

It can be written as a sum of positive squares in 2 ways, for example, as 20748962025 + 279341846784 = 144045^2 + 528528^2 .

It is not a de Polignac number, because 300090808809 - 211 = 300090806761 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (300090808819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9359197 + ... + 9391205.

It is an arithmetic number, because the mean of its divisors is an integer number (13236748525).

Almost surely, 2300090808809 is an apocalyptic number.

It is an amenable number.

300090808809 is a deficient number, since it is larger than the sum of its proper divisors (176432138091).

300090808809 is a wasteful number, since it uses less digits than its factorization.

300090808809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40646 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 3000 and 90808809, that added together give a palindrome (90811809).

The spelling of 300090808809 in words is "three hundred billion, ninety million, eight hundred eight thousand, eight hundred nine".

Divisors: 1 3 9 11 33 99 121 363 1089 8609 25827 32009 77481 94699 96027 284097 288081 352099 852291 1041689 1056297 3125067 3168891 3873089 9375201 11619267 34857801 275565481 826696443 2480089329 3031220291 9093660873 27280982619 33343423201 100030269603 300090808809