Search a number
-
+
210410024000130 = 2325292691019294103
BaseRepresentation
bin101111110101110111100110…
…101111001101101010000010
31000121000000001100100122111200
4233311313212233031222002
5210034324212121001010
62023301010335522030
762214423354324243
oct5765674657155202
91017000040318450
10210410024000130
1161052432196399
121b722a57389316
1390537706c6c56
1439d5c84324cca
15194d3aa929cc0
hexbf5de6bcda82

210410024000130 has 192 divisors, whose sum is σ = 568593616032000. Its totient is φ = 53919992480256.

The previous prime is 210410024000089. The next prime is 210410024000131. The reversal of 210410024000130 is 31000420014012.

210410024000130 is a `hidden beast` number, since 2 + 1 + 0 + 410 + 0 + 240 + 0 + 0 + 13 + 0 = 666.

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 (210410024000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715282659 + ... + 715576761.

It is an arithmetic number, because the mean of its divisors is an integer number (2961425083500).

Almost surely, 2210410024000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210410024000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284296808016000).

210410024000130 is an abundant number, since it is smaller than the sum of its proper divisors (358183592031870).

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

210410024000130 is a wasteful number, since it uses less digits than its factorization.

210410024000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295433 (or 295430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210410024000130 its reverse (31000420014012), we get a palindrome (241410444014142).

The spelling of 210410024000130 in words is "two hundred ten trillion, four hundred ten billion, twenty-four million, one hundred thirty", and thus it is an aban number.