Base | Representation |
---|---|
bin | 111100010101101… |
… | …101010010000000 |
3 | 2121112212100201100 |
4 | 330111231102000 |
5 | 4033123322311 |
6 | 244241334400 |
7 | 34041415224 |
oct | 7425552200 |
9 | 2545770640 |
10 | 1012323456 |
11 | 47a480661 |
12 | 243037400 |
13 | 131963481 |
14 | 98638784 |
15 | 5dd17a56 |
hex | 3c56d480 |
1012323456 has 96 divisors (see below), whose sum is σ = 2984255820. Its totient is φ = 329195520.
The previous prime is 1012323443. The next prime is 1012323461. The reversal of 1012323456 is 6543232101.
1012323456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 262440000 = 27384^2 + 16200^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is an alternating number because its digits alternate between odd and even.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36516 + ... + 57948.
Almost surely, 21012323456 is an apocalyptic number.
1012323456 is a gapful number since it is divisible by the number (16) 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 1012323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492127910).
1012323456 is an abundant number, since it is smaller than the sum of its proper divisors (1971932364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012323456 is a wasteful number, since it uses less digits than its factorization.
1012323456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21494 (or 21479 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 1012323456 is about 31817.0309111331. The cubic root of 1012323456 is about 1004.0910590786.
Adding to 1012323456 its reverse (6543232101), we get a palindrome (7555555557).
The spelling of 1012323456 in words is "one billion, twelve million, three hundred twenty-three thousand, four hundred fifty-six".
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