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2013321 = 31135939
BaseRepresentation
bin111101011100010001001
310210021202110
413223202021
51003411241
6111052533
723053512
oct7534211
93707673
102013321
111155702
12811149
1355651b
143a5a09
1529b816
hex1eb889

2013321 has 8 divisors (see below), whose sum is σ = 2708640. Its totient is φ = 1330112.

The previous prime is 2013313. The next prime is 2013329. The reversal of 2013321 is 1233102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013313) and next prime (2013329).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013321 - 23 = 2013313 is a prime.

It is a super-2 number, since 2×20133212 = 8106922898082, which contains 22 as substring.

It is a Curzon number.

2013321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2013297 and 2013306.

It is not an unprimeable number, because it can be changed into a prime (2013329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (338580).

22013321 is an apocalyptic number.

It is an amenable number.

2013321 is a deficient number, since it is larger than the sum of its proper divisors (695319).

2013321 is a wasteful number, since it uses less digits than its factorization.

2013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013321 is about 1418.9154308837. The cubic root of 2013321 is about 126.2712097164.

Adding to 2013321 its reverse (1233102), we get a palindrome (3246423).

The spelling of 2013321 in words is "two million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 113 339 5939 17817 671107 2013321