Base | Representation |
---|---|
bin | 110000001101111010… |
… | …0110011011100110100 |
3 | 100220021022010221121200 |
4 | 1200123310303130310 |
5 | 3144030241322124 |
6 | 115322435012500 |
7 | 10323652556565 |
oct | 1403364633464 |
9 | 326238127550 |
10 | 103546042164 |
11 | 3aa06050064 |
12 | 1809943a130 |
13 | 99c2379b46 |
14 | 5023da616c |
15 | 2a606ddbc9 |
hex | 181bd33734 |
103546042164 has 36 divisors (see below), whose sum is σ = 264682306980. Its totient is φ = 34127533440.
The previous prime is 103546042141. The next prime is 103546042309. The reversal of 103546042164 is 461240645301.
103546042164 is a `hidden beast` number, since 1 + 0 + 35 + 4 + 604 + 2 + 16 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 9884336400 + 93661705764 = 99420^2 + 306042^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×1035460421643 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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, 16155667 + ... + 16162074.
It is an arithmetic number, because the mean of its divisors is an integer number (7352286305).
Almost surely, 2103546042164 is an apocalyptic number.
It is an amenable number.
103546042164 is an abundant number, since it is smaller than the sum of its proper divisors (161136264816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103546042164 is a wasteful number, since it uses less digits than its factorization.
103546042164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32317840 (or 32317835 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 103546042164 its reverse (461240645301), we get a palindrome (564786687465).
The spelling of 103546042164 in words is "one hundred three billion, five hundred forty-six million, forty-two thousand, one hundred sixty-four".
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