Base | Representation |
---|---|
bin | 111100110111111… |
… | …111100111000000 |
3 | 2122011202222220001 |
4 | 330313333213000 |
5 | 4042423431144 |
6 | 245202125344 |
7 | 34211001220 |
oct | 7467774700 |
9 | 2564688801 |
10 | 1021311424 |
11 | 48455a431 |
12 | 246050854 |
13 | 13378c4b3 |
14 | 998d8080 |
15 | 5e9e0bd4 |
hex | 3cdff9c0 |
1021311424 has 56 divisors (see below), whose sum is σ = 2321405568. Its totient is φ = 436719360.
The previous prime is 1021311419. The next prime is 1021311433. The reversal of 1021311424 is 4241131201.
It is a tau number, because it is divible by the number of its divisors (56).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217647 + ... + 222289.
Almost surely, 21021311424 is an apocalyptic number.
1021311424 is a gapful number since it is divisible by the number (14) 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 1021311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160702784).
1021311424 is an abundant number, since it is smaller than the sum of its proper divisors (1300094144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021311424 is an equidigital number, since it uses as much as digits as its factorization.
1021311424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5153 (or 5143 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
The square root of 1021311424 is about 31957.9633894277. The cubic root of 1021311424 is about 1007.0539330323.
Adding to 1021311424 its reverse (4241131201), we get a palindrome (5262442625).
It can be divided in two parts, 1021311 and 424, that added together give a triangular number (1021735 = T1429).
The spelling of 1021311424 in words is "one billion, twenty-one million, three hundred eleven thousand, four hundred twenty-four".
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