Search a number
-
+
10420166241 = 33385932083
BaseRepresentation
bin10011011010001011…
…10001111001100001
3222220012101021212000
421231011301321201
5132320030304431
64441552154213
7516135644262
oct115505617141
928805337760
1010420166241
114467a04141
122029838969
13ca0a6ca54
1470bc96969
1540ec069e6
hex26d171e61

10420166241 has 8 divisors (see below), whose sum is σ = 15437283360. Its totient is φ = 6946777476.

The previous prime is 10420166213. The next prime is 10420166243. The reversal of 10420166241 is 14266102401.

10420166241 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 16 + 624 + 1 = 666.

10420166241 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 10420166241 - 217 = 10420035169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 385932083 = 10420166241 / (1 + 0 + 4 + 2 + 0 + 1 + 6 + 6 + 2 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (10420166243) 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 7 ways as a sum of consecutive naturals, for example, 192966015 + ... + 192966068.

It is an arithmetic number, because the mean of its divisors is an integer number (1929660420).

Almost surely, 210420166241 is an apocalyptic number.

It is an amenable number.

10420166241 is a deficient number, since it is larger than the sum of its proper divisors (5017117119).

10420166241 is an equidigital number, since it uses as much as digits as its factorization.

10420166241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385932092 (or 385932086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10420166241 its reverse (14266102401), we get a palindrome (24686268642).

The spelling of 10420166241 in words is "ten billion, four hundred twenty million, one hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 385932083 1157796249 3473388747 10420166241