Base | Representation |
---|---|
bin | 111100110011110… |
… | …011011100010100 |
3 | 2122002201012011010 |
4 | 330303303130110 |
5 | 4042133304022 |
6 | 245122412220 |
7 | 34165444650 |
oct | 7463633424 |
9 | 2562635133 |
10 | 1020213012 |
11 | 48397a155 |
12 | 245801070 |
13 | 133496550 |
14 | 996cda60 |
15 | 5e87550c |
hex | 3ccf3714 |
1020213012 has 96 divisors (see below), whose sum is σ = 2998116352. Its totient is φ = 262797696.
The previous prime is 1020212989. The next prime is 1020213013. The reversal of 1020213012 is 2103120201.
It is a super-2 number, since 2×10202130122 = 2081669179708224288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1020213013) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 36093 + ... + 57819.
Almost surely, 21020213012 is an apocalyptic number.
1020213012 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 1020213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499058176).
1020213012 is an abundant number, since it is smaller than the sum of its proper divisors (1977903340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020213012 is a wasteful number, since it uses less digits than its factorization.
1020213012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21797 (or 21795 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1020213012 is about 31940.7735034705. The cubic root of 1020213012 is about 1006.6927774660.
Adding to 1020213012 its reverse (2103120201), we get a palindrome (3123333213).
The spelling of 1020213012 in words is "one billion, twenty million, two hundred thirteen thousand, twelve".
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