Base | Representation |
---|---|
bin | 111100010100110… |
… | …111100100000000 |
3 | 2121112110011220000 |
4 | 330110313210000 |
5 | 4033044302144 |
6 | 244232520000 |
7 | 34036510563 |
oct | 7424674400 |
9 | 2545404800 |
10 | 1012103424 |
11 | 47a340312 |
12 | 242b50000 |
13 | 1318b7287 |
14 | 985bc4da |
15 | 5dcc2769 |
hex | 3c537900 |
1012103424 has 90 divisors (see below), whose sum is σ = 3017971110. Its totient is φ = 337360896.
The previous prime is 1012103413. The next prime is 1012103447. The reversal of 1012103424 is 4243012101.
It can be written as a sum of positive squares in only one way, i.e., 804743424 + 207360000 = 28368^2 + 14400^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1012103397 and 1012103406.
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 9 ways as a sum of consecutive naturals, for example, 3669 + ... + 45140.
Almost surely, 21012103424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1012103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508985555).
1012103424 is an abundant number, since it is smaller than the sum of its proper divisors (2005867686).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012103424 is an frugal number, since it uses more digits than its factorization.
1012103424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48837 (or 48814 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1012103424 is about 31813.5729524365. The cubic root of 1012103424 is about 1004.0183062539.
Adding to 1012103424 its reverse (4243012101), we get a palindrome (5255115525).
The spelling of 1012103424 in words is "one billion, twelve million, one hundred three thousand, four hundred twenty-four".
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