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13221122020 = 2251738885653
BaseRepresentation
bin11000101000000101…
…00100111111100100
31021010101212120211221
430110002210333210
5204034101401040
610023530310124
7645426453151
oct142402447744
937111776757
1013221122020
115674a84727
12268b888344
131329143032
148d5c89228
15525a7e74a
hex3140a4fe4

13221122020 has 24 divisors (see below), whose sum is σ = 29397554424. Its totient is φ = 4977363456.

The previous prime is 13221122009. The next prime is 13221122023. The reversal of 13221122020 is 2022112231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148401124 + 13072720896 = 12182^2 + 114336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13221121985 and 13221122003.

It is not an unprimeable number, because it can be changed into a prime (13221122023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19442487 + ... + 19443166.

It is an arithmetic number, because the mean of its divisors is an integer number (1224898101).

Almost surely, 213221122020 is an apocalyptic number.

13221122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221122020 is an abundant number, since it is smaller than the sum of its proper divisors (16176432404).

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

13221122020 is a wasteful number, since it uses less digits than its factorization.

13221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38885679 (or 38885677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13221122020 its reverse (2022112231), we get a palindrome (15243234251).

The spelling of 13221122020 in words is "thirteen billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 38885653 77771306 155542612 194428265 388856530 661056101 777713060 1322112202 2644224404 3305280505 6610561010 13221122020