Search a number
-
+
10420035241 = 711413300613
BaseRepresentation
bin10011011010001010…
…10001111010101001
3222220012010122011011
421231011101322221
5132320012111431
64441545303521
7516134560330
oct115505217251
928805118134
1010420035241
114467924780
122029794ba1
13ca0a25235
1470bc60d17
1540ebcccb1
hex26d151ea9

10420035241 has 16 divisors (see below), whose sum is σ = 13308075648. Its totient is φ = 7921468800.

The previous prime is 10420035221. The next prime is 10420035259. The reversal of 10420035241 is 14253002401.

10420035241 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 10420035241 - 213 = 10420027049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420035221) 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 15 ways as a sum of consecutive naturals, for example, 1647150 + ... + 1653463.

It is an arithmetic number, because the mean of its divisors is an integer number (831754728).

Almost surely, 210420035241 is an apocalyptic number.

10420035241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420035241 is a deficient number, since it is larger than the sum of its proper divisors (2888040407).

10420035241 is a wasteful number, since it uses less digits than its factorization.

10420035241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300672.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10420035241 its reverse (14253002401), we get a palindrome (24673037642).

The spelling of 10420035241 in words is "ten billion, four hundred twenty million, thirty-five thousand, two hundred forty-one".

Divisors: 1 7 11 41 77 287 451 3157 3300613 23104291 36306743 135325133 254147201 947275931 1488576463 10420035241