Base | Representation |
---|---|
bin | 111100110011000… |
… | …010010111101100 |
3 | 2122002022222102200 |
4 | 330303002113230 |
5 | 4042110341022 |
6 | 245114221500 |
7 | 34163646645 |
oct | 7463022754 |
9 | 2562288380 |
10 | 1020012012 |
11 | 483852138 |
12 | 245724890 |
13 | 133425c06 |
14 | 9967a6cc |
15 | 5e835bac |
hex | 3ccc25ec |
1020012012 has 36 divisors (see below), whose sum is σ = 2667275520. Its totient is φ = 328279392.
The previous prime is 1020011999. The next prime is 1020012013. The reversal of 1020012012 is 2102100201.
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).
1020012012 is a modest number, since divided by 12012 gives 1020 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 1020011985 and 1020012003.
It is not an unprimeable number, because it can be changed into a prime (1020012013) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487468 + ... + 489555.
Almost surely, 21020012012 is an apocalyptic number.
1020012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1020012012 is an abundant number, since it is smaller than the sum of its proper divisors (1647263508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020012012 is a wasteful number, since it uses less digits than its factorization.
1020012012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 977062 (or 977057 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1020012012 is about 31937.6268999436. The cubic root of 1020012012 is about 1006.6266610322.
Adding to 1020012012 its reverse (2102100201), we get a palindrome (3122112213).
The spelling of 1020012012 in words is "one billion, twenty million, twelve thousand, twelve".
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