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2013022020 = 22351712131627
BaseRepresentation
bin111011111111100…
…0100011101000100
312012021212010002010
41313333010131010
513110313201040
6531430014220
7100612255602
oct16777043504
95167763063
102013022020
11943331269
124821a7370
132610865b9
141514c8872
15bbad5e80
hex77fc4744

2013022020 has 96 divisors (see below), whose sum is σ = 5976609408. Its totient is φ = 504502272.

The previous prime is 2013022019. The next prime is 2013022027. The reversal of 2013022020 is 202203102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2013021987 and 2013022005.

It is not an unprimeable number, because it can be changed into a prime (2013022027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236447 + ... + 1238073.

It is an arithmetic number, because the mean of its divisors is an integer number (62256348).

Almost surely, 22013022020 is an apocalyptic number.

2013022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988304704).

2013022020 is an abundant number, since it is smaller than the sum of its proper divisors (3963587388).

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

2013022020 is a wasteful number, since it uses less digits than its factorization.

2013022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013022020 is about 44866.7139425209. The cubic root of 2013022020 is about 1262.6495894376.

Adding to 2013022020 its reverse (202203102), we get a palindrome (2215225122).

The spelling of 2013022020 in words is "two billion, thirteen million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1213 1627 2426 3254 3639 4852 4881 6065 6508 7278 8135 9762 12130 14556 16270 18195 19524 20621 24260 24405 27659 32540 36390 41242 48810 55318 61863 72780 82484 82977 97620 103105 110636 123726 138295 165954 206210 247452 276590 309315 331908 412420 414885 553180 618630 829770 1237260 1659540 1973551 3947102 5920653 7894204 9867755 11841306 19735510 23682612 29603265 33550367 39471020 59206530 67100734 100651101 118413060 134201468 167751835 201302202 335503670 402604404 503255505 671007340 1006511010 2013022020