Base | Representation |
---|---|
bin | 100111010111110… |
… | …0110110000100000 |
3 | 10102001212221202100 |
4 | 1032233212300200 |
5 | 10201200233433 |
6 | 335031450400 |
7 | 44511120255 |
oct | 11657466040 |
9 | 3361787670 |
10 | 1321102368 |
11 | 618800843 |
12 | 30a526a00 |
13 | 1809160a1 |
14 | c765542c |
15 | 7aeacb13 |
hex | 4ebe6c20 |
1321102368 has 144 divisors (see below), whose sum is σ = 4027042656. Its totient is φ = 409344000.
The previous prime is 1321102361. The next prime is 1321102379. The reversal of 1321102368 is 8632011231.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×13211023682 = 3490622933470414848, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1321102361) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404743 + ... + 407993.
It is an arithmetic number, because the mean of its divisors is an integer number (27965574).
Almost surely, 21321102368 is an apocalyptic number.
1321102368 is a gapful number since it is divisible by the number (18) 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 1321102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013521328).
1321102368 is an abundant number, since it is smaller than the sum of its proper divisors (2705940288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1321102368 is a wasteful number, since it uses less digits than its factorization.
1321102368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3367 (or 3356 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1321102368 is about 36346.9719233941. The cubic root of 1321102368 is about 1097.2665929549.
Adding to 1321102368 its reverse (8632011231), we get a palindrome (9953113599).
It can be divided in two parts, 132 and 1102368, that added together give a square (1102500 = 10502).
The spelling of 1321102368 in words is "one billion, three hundred twenty-one million, one hundred two thousand, three hundred sixty-eight".
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