Base | Representation |
---|---|
bin | 1011111111100… |
… | …01000100100000 |
3 | 21000022010012100 |
4 | 11333301010200 |
5 | 201223232034 |
6 | 13552130400 |
7 | 2331050466 |
oct | 577610440 |
9 | 230263170 |
10 | 100602144 |
11 | 51872975 |
12 | 29836a00 |
13 | 17ac48c6 |
14 | d50a836 |
15 | 8c73099 |
hex | 5ff1120 |
100602144 has 36 divisors (see below), whose sum is σ = 286088166. Its totient is φ = 33533952.
The previous prime is 100602143. The next prime is 100602163. The reversal of 100602144 is 441206001.
It can be written as a sum of positive squares in only one way, i.e., 71571600 + 29030544 = 8460^2 + 5388^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (100602143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174369 + ... + 174944.
Almost surely, 2100602144 is an apocalyptic number.
It is an amenable number.
100602144 is an abundant number, since it is smaller than the sum of its proper divisors (185486022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100602144 is a wasteful number, since it uses less digits than its factorization.
100602144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 349329 (or 349318 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 100602144 is about 10030.0620137664. The cubic root of 100602144 is about 465.0886546192.
Adding to 100602144 its reverse (441206001), we get a palindrome (541808145).
The spelling of 100602144 in words is "one hundred million, six hundred two thousand, one hundred forty-four".
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