Search a number
-
+
24300212130 = 232537471391117
BaseRepresentation
bin10110101000011001…
…111100111110100010
32022201112010200022200
4112220121330332202
5344231323242010
615055141514030
71520116252335
oct265031747642
968645120280
1024300212130
11a33a922047
124862112916
1323a356c85c
14126746661c
15973542cc0
hex5a867cfa2

24300212130 has 192 divisors, whose sum is σ = 66805240320. Its totient is φ = 6120893952.

The previous prime is 24300212129. The next prime is 24300212143. The reversal of 24300212130 is 3121200342.

24300212130 is a `hidden beast` number, since 2 + 430 + 0 + 21 + 213 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 21754332 + ... + 21755448.

It is an arithmetic number, because the mean of its divisors is an integer number (347943960).

Almost surely, 224300212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24300212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33402620160).

24300212130 is an abundant number, since it is smaller than the sum of its proper divisors (42505028190).

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

24300212130 is a wasteful number, since it uses less digits than its factorization.

24300212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 24300212130 its reverse (3121200342), we get a palindrome (27421412472).

It can be divided in two parts, 24300212 and 130, that added together give a palindrome (24300342).

The spelling of 24300212130 in words is "twenty-four billion, three hundred million, two hundred twelve thousand, one hundred thirty".