Base | Representation |
---|---|
bin | 10010101101001000… |
… | …11011010000110100 |
3 | 221220212101220202200 |
4 | 21112210123100310 |
5 | 131031313332040 |
6 | 4340253504500 |
7 | 503600226411 |
oct | 112644332064 |
9 | 27825356680 |
10 | 10042324020 |
11 | 42936a2743 |
12 | 1b431a2130 |
13 | c406b8a81 |
14 | 6b3a1d108 |
15 | 3db96d630 |
hex | 25691b434 |
10042324020 has 72 divisors (see below), whose sum is σ = 30477040776. Its totient is φ = 2676605952.
The previous prime is 10042324013. The next prime is 10042324069. The reversal of 10042324020 is 2042324001.
10042324020 is a `hidden beast` number, since 1 + 0 + 0 + 423 + 240 + 2 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 153214884 + 9889109136 = 12378^2 + 99444^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10042323984 and 10042324002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374584 + ... + 400496.
It is an arithmetic number, because the mean of its divisors is an integer number (423292233).
Almost surely, 210042324020 is an apocalyptic number.
10042324020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10042324020 is an abundant number, since it is smaller than the sum of its proper divisors (20434716756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10042324020 is a wasteful number, since it uses less digits than its factorization.
10042324020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28081 (or 28076 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 10042324020 its reverse (2042324001), we get a palindrome (12084648021).
The spelling of 10042324020 in words is "ten billion, forty-two million, three hundred twenty-four thousand, twenty".
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