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2013221322 = 232725762171
BaseRepresentation
bin111011111111111…
…0101000111001010
312012022020020110200
41313333311013022
513110341040242
6531434153030
7100614045630
oct16777650712
95168206420
102013221322
11943457a82
12482282776
13261126228
1415153b350
15bbb2504c
hex77ff51ca

2013221322 has 48 divisors (see below), whose sum is σ = 5004597312. Its totient is φ = 572958720.

The previous prime is 2013221297. The next prime is 2013221339. The reversal of 2013221322 is 2231223102.

2013221322 is a `hidden beast` number, since 20 + 1 + 322 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013221295 and 2013221304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297 + ... + 63467.

It is an arithmetic number, because the mean of its divisors is an integer number (104262444).

Almost surely, 22013221322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013221322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502298656).

2013221322 is an abundant number, since it is smaller than the sum of its proper divisors (2991375990).

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

2013221322 is a wasteful number, since it uses less digits than its factorization.

2013221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62443 (or 62440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013221322 is about 44868.9349327572. The cubic root of 2013221322 is about 1262.6912581794.

Adding to 2013221322 its reverse (2231223102), we get a palindrome (4244444424).

The spelling of 2013221322 in words is "two billion, thirteen million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 3598 4626 5397 10794 16191 32382 62171 124342 186513 373026 435197 559539 870394 1119078 1305591 2611182 3916773 7833546 15977947 31955894 47933841 95867682 111845629 143801523 223691258 287603046 335536887 671073774 1006610661 2013221322