Base | Representation |
---|---|
bin | 111100111110011… |
… | …100011000000000 |
3 | 2122021221220002010 |
4 | 330332130120000 |
5 | 4043342031422 |
6 | 245302252520 |
7 | 34231242306 |
oct | 7476343000 |
9 | 2567856063 |
10 | 1023002112 |
11 | 4855046a0 |
12 | 246727140 |
13 | 133c31bc2 |
14 | 99c18276 |
15 | 5ec26b0c |
hex | 3cf9c600 |
1023002112 has 160 divisors (see below), whose sum is σ = 2998093824. Its totient is φ = 307404800.
The previous prime is 1023002089. The next prime is 1023002129. The reversal of 1023002112 is 2112003201.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226978 + ... + 3227294.
Almost surely, 21023002112 is an apocalyptic number.
1023002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499046912).
1023002112 is an abundant number, since it is smaller than the sum of its proper divisors (1975091712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023002112 is a wasteful number, since it uses less digits than its factorization.
1023002112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 540 (or 524 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1023002112 is about 31984.4041995470. The cubic root of 1023002112 is about 1007.6093220206.
Adding to 1023002112 its reverse (2112003201), we get a palindrome (3135005313).
The spelling of 1023002112 in words is "one billion, twenty-three million, two thousand, one hundred twelve".
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