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2013322014 = 233115096659
BaseRepresentation
bin111100000000000…
…1101101100011110
312012022102100121000
41320000031230132
513110402301024
6531440251130
7100614645324
oct17000155436
95168370530
102013322014
119435166a0
12482310aa6
13261160002
14151565d14
15bbb44cc9
hex7800db1e

2013322014 has 64 divisors (see below), whose sum is σ = 4891104000. Its totient is φ = 608807520.

The previous prime is 2013321979. The next prime is 2013322027. The reversal of 2013322014 is 4102233102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299017 + ... + 305675.

It is an arithmetic number, because the mean of its divisors is an integer number (76423500).

Almost surely, 22013322014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013322014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445552000).

2013322014 is an abundant number, since it is smaller than the sum of its proper divisors (2877781986).

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

2013322014 is a wasteful number, since it uses less digits than its factorization.

2013322014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7184 counting only the distinct ones).

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

The square root of 2013322014 is about 44870.0569868147. The cubic root of 2013322014 is about 1262.7123091500.

Adding to 2013322014 its reverse (4102233102), we get a palindrome (6115555116).

The spelling of 2013322014 in words is "two billion, thirteen million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 509 594 1018 1527 3054 4581 5599 6659 9162 11198 13318 13743 16797 19977 27486 33594 39954 50391 59931 73249 100782 119862 146498 151173 179793 219747 302346 359586 439494 659241 1318482 1977723 3389431 3955446 6778862 10168293 20336586 30504879 37283741 61009758 74567482 91514637 111851223 183029274 223702446 335553669 671107338 1006661007 2013322014