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13331322020 = 2252292910769
BaseRepresentation
bin11000110101001101…
…11101010010100100
31021102002020022211102
430122212331102210
5204300304301040
610042504255232
7651235240022
oct143246752244
937362208742
1013331322020
115721202605
122700771518
131345c18433
14906773712
1553059b515
hex31a9bd4a4

13331322020 has 24 divisors (see below), whose sum is σ = 28118038200. Its totient is φ = 5309240832.

The previous prime is 13331322019. The next prime is 13331322041. The reversal of 13331322020 is 2022313331.

13331322020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 870958144 + 12460363876 = 29512^2 + 111626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13331321983 and 13331322001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450805 + ... + 1459964.

It is an arithmetic number, because the mean of its divisors is an integer number (1171584925).

Almost surely, 213331322020 is an apocalyptic number.

13331322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331322020 is an abundant number, since it is smaller than the sum of its proper divisors (14786716180).

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

13331322020 is a wasteful number, since it uses less digits than its factorization.

13331322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911007 (or 2911005 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13331322020 its reverse (2022313331), we get a palindrome (15353635351).

The spelling of 13331322020 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 2910769 5821538 11643076 14553845 29107690 58215380 666566101 1333132202 2666264404 3332830505 6665661010 13331322020