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1331323024 = 24315994481
BaseRepresentation
bin100111101011010…
…0110000010010000
310102210010012212011
41033112212002100
510211304314044
6340034512304
744664026143
oct11726460220
93383105764
101331323024
11623551769
12311a35694
13182a84205
14c8b5605a
157bd2b134
hex4f5a6090

1331323024 has 40 divisors (see below), whose sum is σ = 2667686400. Its totient is φ = 642969600.

The previous prime is 1331322991. The next prime is 1331323033. The reversal of 1331323024 is 4203231331.

It is a junction number, because it is equal to n+sod(n) for n = 1331322986 and 1331323004.

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 7 ways as a sum of consecutive naturals, for example, 294864 + ... + 299344.

It is an arithmetic number, because the mean of its divisors is an integer number (66692160).

Almost surely, 21331323024 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 1331323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333843200).

1331323024 is an abundant number, since it is smaller than the sum of its proper divisors (1336363376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331323024 is a wasteful number, since it uses less digits than its factorization.

1331323024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1331323024 is about 36487.2994890003. The cubic root of 1331323024 is about 1100.0889801299.

Adding to 1331323024 its reverse (4203231331), we get a palindrome (5534554355).

The spelling of 1331323024 in words is "one billion, three hundred thirty-one million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 599 1198 2396 4481 4792 8962 9584 17924 18569 35848 37138 71696 74276 138911 148552 277822 297104 555644 1111288 2222576 2684119 5368238 10736476 21472952 42945904 83207689 166415378 332830756 665661512 1331323024