Base | Representation |
---|---|
bin | 11000001101101110… |
… | …00111000011110100 |
3 | 1020112222211000221200 |
4 | 30012313013003310 |
5 | 203111000341040 |
6 | 5545551212500 |
7 | 640103164452 |
oct | 140667070364 |
9 | 36488730850 |
10 | 13000012020 |
11 | 5571193496 |
12 | 2629817130 |
13 | 12c23a7308 |
14 | 8b476d9d2 |
15 | 511455630 |
hex | 306dc70f4 |
13000012020 has 36 divisors (see below), whose sum is σ = 39433370340. Its totient is φ = 3466669824.
The previous prime is 13000012007. The next prime is 13000012043. The reversal of 13000012020 is 2021000031.
It is a happy number.
13000012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 8150839524 + 4849172496 = 90282^2 + 69636^2 .
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 (9).
It is a junction number, because it is equal to n+sod(n) for n = 13000011993 and 13000012011.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36110965 + ... + 36111324.
Almost surely, 213000012020 is an apocalyptic number.
13000012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13000012020 is an abundant number, since it is smaller than the sum of its proper divisors (26433358320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13000012020 is a wasteful number, since it uses less digits than its factorization.
13000012020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72222304 (or 72222299 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 13000012020 its reverse (2021000031), we get a palindrome (15021012051).
The spelling of 13000012020 in words is "thirteen billion, twelve thousand, twenty".
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