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1331330020 = 22566566501
BaseRepresentation
bin100111101011010…
…0111101111100100
310102210010120110021
41033112213233210
510211310030040
6340035004524
744664055426
oct11726475744
93383116407
101331330020
11623556a49
12311a39744
13182a87457
14c8b58816
157bd2d24a
hex4f5a7be4

1331330020 has 12 divisors (see below), whose sum is σ = 2795793084. Its totient is φ = 532532000.

The previous prime is 1331329997. The next prime is 1331330023. The reversal of 1331330020 is 200331331.

It can be written as a sum of positive squares in 2 ways, for example, as 330366976 + 1000963044 = 18176^2 + 31638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1331329976 and 1331330003.

It is not an unprimeable number, because it can be changed into a prime (1331330023) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33283231 + ... + 33283270.

It is an arithmetic number, because the mean of its divisors is an integer number (232982757).

Almost surely, 21331330020 is an apocalyptic number.

1331330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331330020 is an abundant number, since it is smaller than the sum of its proper divisors (1464463064).

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

1331330020 is a wasteful number, since it uses less digits than its factorization.

1331330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66566510 (or 66566508 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1331330020 is about 36487.3953578493. The cubic root of 1331330020 is about 1100.0909070875.

Adding to 1331330020 its reverse (200331331), we get a palindrome (1531661351).

The spelling of 1331330020 in words is "one billion, three hundred thirty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 66566501 133133002 266266004 332832505 665665010 1331330020