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10100168 = 231397117
BaseRepresentation
bin100110100001…
…110111001000
3201000010211022
4212201313020
510041201133
61000252012
7151564361
oct46416710
921003738
1010100168
115779451
123471008
132128340
1414acb68
15d47998
hex9a1dc8

10100168 has 16 divisors (see below), whose sum is σ = 20394780. Its totient is φ = 4661568.

The previous prime is 10100161. The next prime is 10100173. The reversal of 10100168 is 86100101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 484 = 3178^2 + 22^2 .

It is not an unprimeable number, because it can be changed into a prime (10100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48455 + ... + 48662.

Almost surely, 210100168 is an apocalyptic number.

It is an amenable number.

10100168 is an abundant number, since it is smaller than the sum of its proper divisors (10294612).

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

10100168 is a wasteful number, since it uses less digits than its factorization.

10100168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97136 (or 97132 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 10100168 is about 3178.0761476088. The cubic root of 10100168 is about 216.1604317945.

Adding to 10100168 its reverse (86100101), we get a palindrome (96200269).

The spelling of 10100168 in words is "ten million, one hundred thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 97117 194234 388468 776936 1262521 2525042 5050084 10100168