Search a number
-
+
303301013130 = 23254497505593
BaseRepresentation
bin1000110100111100010…
…01100010111010001010
31001222212120100212110200
410122132021202322022
514432130024410010
6351200133153030
730625040034333
oct4323611427212
91058776325420
10303301013130
111076a1573325
124a946a8b776
13227a79a710b
141097370328a
157d523b1cc0
hex469e262e8a

303301013130 has 48 divisors (see below), whose sum is σ = 790339048200. Its totient is φ = 80700125184.

The previous prime is 303301013111. The next prime is 303301013137. The reversal of 303301013130 is 31310103303.

303301013130 is a `hidden beast` number, since 303 + 301 + 0 + 1 + 31 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163168331481 + 140132681649 = 403941^2 + 374343^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (303301013137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3712387 + ... + 3793206.

Almost surely, 2303301013130 is an apocalyptic number.

303301013130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

303301013130 is an abundant number, since it is smaller than the sum of its proper divisors (487038035070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303301013130 is a wasteful number, since it uses less digits than its factorization.

303301013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7506055 (or 7506052 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 303301013130 its reverse (31310103303), we get a palindrome (334611116433).

The spelling of 303301013130 in words is "three hundred three billion, three hundred one million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 449 898 1347 2245 2694 4041 4490 6735 8082 13470 20205 40410 7505593 15011186 22516779 37527965 45033558 67550337 75055930 112583895 135100674 225167790 337751685 675503370 3370011257 6740022514 10110033771 16850056285 20220067542 30330101313 33700112570 50550168855 60660202626 101100337710 151650506565 303301013130