Search a number
-
+
10001042535 = 351178777017
BaseRepresentation
bin10010101000001101…
…11100110001100111
3221210222201121012210
421110012330301213
5130440231330120
64332221014503
7502556313261
oct112406746147
927728647183
1010001042535
114272367310
121b313b4433
13c34c93b63
146ac354b31
153d8016ce0
hex2541bcc67

10001042535 has 32 divisors (see below), whose sum is σ = 17478772992. Its totient is φ = 4842766080.

The previous prime is 10001042531. The next prime is 10001042563. The reversal of 10001042535 is 53524010001.

10001042535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001042535 - 22 = 10001042531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001042531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91347 + ... + 168363.

It is an arithmetic number, because the mean of its divisors is an integer number (546211656).

Almost surely, 210001042535 is an apocalyptic number.

10001042535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001042535 is a deficient number, since it is larger than the sum of its proper divisors (7477730457).

10001042535 is a wasteful number, since it uses less digits than its factorization.

10001042535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77823.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10001042535 its reverse (53524010001), we get a palindrome (63525052536).

The spelling of 10001042535 in words is "ten billion, one million, forty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 787 2361 3935 8657 11805 25971 43285 77017 129855 231051 385085 847187 1155255 2541561 4235935 12707805 60612379 181837137 303061895 666736169 909185685 2000208507 3333680845 10001042535