Search a number
-
+
10043105514 = 231361234603
BaseRepresentation
bin10010101101001110…
…11010000011101010
3221220220212121202220
421112213122003222
5131032013334024
64340322334510
7503606663001
oct112647320352
927826777686
1010043105514
114294086902
121b434ba436
13c409006b0
146b3b83c38
153dba74e79
hex2569da0ea

10043105514 has 48 divisors (see below), whose sum is σ = 21992364576. Its totient is φ = 3039439680.

The previous prime is 10043105497. The next prime is 10043105531. The reversal of 10043105514 is 41550134001.

It is a happy number.

10043105514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10043105497) and next prime (10043105531).

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 23 ways as a sum of consecutive naturals, for example, 272937 + ... + 307539.

It is an arithmetic number, because the mean of its divisors is an integer number (458174262).

Almost surely, 210043105514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043105514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996182288).

10043105514 is an abundant number, since it is smaller than the sum of its proper divisors (11949259062).

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

10043105514 is a wasteful number, since it uses less digits than its factorization.

10043105514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34743 (or 34682 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10043105514 its reverse (41550134001), we get a palindrome (51593239515).

The spelling of 10043105514 in words is "ten billion, forty-three million, one hundred five thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1586 2379 3721 4758 7442 11163 22326 34603 48373 69206 96746 103809 145119 207618 290238 449839 899678 1349517 2110783 2699034 4221566 6332349 12664698 27440179 54880358 82320537 128757763 164641074 257515526 386273289 772546578 1673850919 3347701838 5021552757 10043105514