Search a number
-
+
300131010240 = 2635192866029
BaseRepresentation
bin1000101111000010011…
…00111100011011000000
31001200200122110001000020
410113201030330123000
514404132014311430
6345513413053440
730453345331365
oct4274114743300
91050618401006
10300131010240
11106315149226
124a201327280
13223c100c169
14107526c646c
157c18e3bb10
hex45e133c6c0

300131010240 has 168 divisors, whose sum is σ = 1005710246640. Its totient is φ = 75822483456.

The previous prime is 300131010233. The next prime is 300131010269. The reversal of 300131010240 is 42010131003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 86455 + ... + 779574.

Almost surely, 2300131010240 is an apocalyptic number.

300131010240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300131010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502855123320).

300131010240 is an abundant number, since it is smaller than the sum of its proper divisors (705579236400).

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

300131010240 is a wasteful number, since it uses less digits than its factorization.

300131010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866087 (or 866058 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 300131010240 its reverse (42010131003), we get a palindrome (342141141243).

The spelling of 300131010240 in words is "three hundred billion, one hundred thirty-one million, ten thousand, two hundred forty".