Search a number
-
+
10104040242 = 2323130795881
BaseRepresentation
bin10010110100011111…
…10110101100110010
3222002011112102111200
421122033312230302
5131143113241432
64350340352030
7505246632162
oct113217665462
928064472450
1010104040242
114315515a8a
121b5b9a5616
13c50416c4a
146bbcc65a2
153e20aea7c
hex25a3f6b32

10104040242 has 48 divisors (see below), whose sum is σ = 22609466880. Its totient is φ = 3257755200.

The previous prime is 10104040207. The next prime is 10104040259. The reversal of 10104040242 is 24204040101.

10104040242 is a `hidden beast` number, since 10 + 10 + 404 + 0 + 242 = 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 23 ways as a sum of consecutive naturals, for example, 1715142 + ... + 1721022.

It is an arithmetic number, because the mean of its divisors is an integer number (471030560).

Almost surely, 210104040242 is an apocalyptic number.

10104040242 is an abundant number, since it is smaller than the sum of its proper divisors (12505426638).

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

10104040242 is a wasteful number, since it uses less digits than its factorization.

10104040242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10104040242 its reverse (24204040101), we get a palindrome (34308080343).

The spelling of 10104040242 in words is "ten billion, one hundred four million, forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 3079 5881 6158 9237 11762 17643 18474 27711 35286 52929 55422 95449 105858 182311 190898 286347 364622 546933 572694 859041 1093866 1640799 1718082 3281598 18107599 36215198 54322797 108645594 162968391 325936782 561335569 1122671138 1684006707 3368013414 5052020121 10104040242