Search a number
-
+
10122166017 = 322235043431
BaseRepresentation
bin10010110110101001…
…11111111100000001
3222010102122022101200
421123110333330001
5131212233303032
64352225051413
7505556664045
oct113324777401
928112568350
1010122166017
114324776167
121b65a86b69
13c540c2262
146c0484025
153e399047c
hex25b53ff01

10122166017 has 12 divisors (see below), whose sum is σ = 14686473984. Its totient is φ = 6717848760.

The previous prime is 10122166013. The next prime is 10122166051. The reversal of 10122166017 is 71066122101.

It is a happy number.

It is not a de Polignac number, because 10122166017 - 22 = 10122166013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122166013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519709 + ... + 2523722.

It is an arithmetic number, because the mean of its divisors is an integer number (1223872832).

Almost surely, 210122166017 is an apocalyptic number.

It is an amenable number.

10122166017 is a deficient number, since it is larger than the sum of its proper divisors (4564307967).

10122166017 is a wasteful number, since it uses less digits than its factorization.

10122166017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043660 (or 5043657 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10122166017 its reverse (71066122101), we get a palindrome (81188288118).

The spelling of 10122166017 in words is "ten billion, one hundred twenty-two million, one hundred sixty-six thousand, seventeen".

Divisors: 1 3 9 223 669 2007 5043431 15130293 45390879 1124685113 3374055339 10122166017