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10112305505 = 510987721157
BaseRepresentation
bin10010110101011110…
…11000100101100001
3222002202002100022112
421122233120211201
5131202222234010
64351233445105
7505410115151
oct113257304541
928082070275
1010112305505
11431a150885
121b62710795
13c5204c033
146bd038761
153e2b93a05
hex25abd8961

10112305505 has 16 divisors (see below), whose sum is σ = 12260637840. Its totient is φ = 8006107392.

The previous prime is 10112305499. The next prime is 10112305519. The reversal of 10112305505 is 50550321101.

It is a happy number.

10112305505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 83484769 + 10028820736 = 9137^2 + 100144^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112305505 - 210 = 10112304481 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 467387 + ... + 488543.

It is an arithmetic number, because the mean of its divisors is an integer number (766289865).

Almost surely, 210112305505 is an apocalyptic number.

It is an amenable number.

10112305505 is a deficient number, since it is larger than the sum of its proper divisors (2148332335).

10112305505 is a wasteful number, since it uses less digits than its factorization.

10112305505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22148.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 10112305505 its reverse (50550321101), we get a palindrome (60662626606).

The spelling of 10112305505 in words is "ten billion, one hundred twelve million, three hundred five thousand, five hundred five".

Divisors: 1 5 109 545 877 4385 21157 95593 105785 477965 2306113 11530565 18554689 92773445 2022461101 10112305505