Search a number
-
+
231301310240 = 255711135992411
BaseRepresentation
bin1101011101101010100…
…0011110011100100000
3211010000210012222221002
43113122220132130200
512242201113411430
6254131445451132
722465601461160
oct3273250363440
9733023188832
10231301310240
118a104617940
12389b2410aa8
1318a7218a720
14b2a32ac5a0
15603b44b845
hex35daa1e720

231301310240 has 384 divisors, whose sum is σ = 735223910400. Its totient is φ = 66409574400.

The previous prime is 231301310239. The next prime is 231301310281. The reversal of 231301310240 is 42013103132.

231301310240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313013102402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95934635 + ... + 95937045.

It is an arithmetic number, because the mean of its divisors is an integer number (1914645600).

Almost surely, 2231301310240 is an apocalyptic number.

231301310240 is a gapful number since it is divisible by the number (20) 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 231301310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367611955200).

231301310240 is an abundant number, since it is smaller than the sum of its proper divisors (503922600160).

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

231301310240 is a wasteful number, since it uses less digits than its factorization.

231301310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 231301310240 its reverse (42013103132), we get a palindrome (273314413372).

The spelling of 231301310240 in words is "two hundred thirty-one billion, three hundred one million, three hundred ten thousand, two hundred forty".