Base | Representation |
---|---|
bin | 111100110010111… |
… | …111111101000000 |
3 | 2122002022110212000 |
4 | 330302333331000 |
5 | 4042110031422 |
6 | 245114104000 |
7 | 34163606043 |
oct | 7462777500 |
9 | 2562273760 |
10 | 1020002112 |
11 | 483845758 |
12 | 24571b000 |
13 | 13342155c |
14 | 99676c5a |
15 | 5e832cac |
hex | 3ccbff40 |
1020002112 has 56 divisors (see below), whose sum is σ = 2998622400. Its totient is φ = 340000128.
The previous prime is 1020002111. The next prime is 1020002143. The reversal of 1020002112 is 2112000201.
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 = 1020002094 and 1020002103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1020002111) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293412 + ... + 296867.
Almost surely, 21020002112 is an apocalyptic number.
1020002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1020002112 is an abundant number, since it is smaller than the sum of its proper divisors (1978620288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020002112 is an equidigital number, since it uses as much as digits as its factorization.
1020002112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 590300 (or 590284 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1020002112 is about 31937.4719099681. The cubic root of 1020002112 is about 1006.6234043267.
Adding to 1020002112 its reverse (2112000201), we get a palindrome (3132002313).
The spelling of 1020002112 in words is "one billion, twenty million, two thousand, one hundred twelve".
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