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2013021020 = 225457220243
BaseRepresentation
bin111011111111100…
…0100001101011100
312012021212001201002
41313333010031130
513110313133040
6531430005432
7100612252643
oct16777041534
95167761632
102013021020
1194333053a
124821a6878
13261085cca
141514c835a
15bbad5a15
hex77fc435c

2013021020 has 24 divisors (see below), whose sum is σ = 4236613584. Its totient is φ = 803442816.

The previous prime is 2013021011. The next prime is 2013021061. The reversal of 2013021020 is 201203102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013020992 and 2013021010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100982 + ... + 119261.

It is an arithmetic number, because the mean of its divisors is an integer number (176525566).

Almost surely, 22013021020 is an apocalyptic number.

2013021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013021020 is an abundant number, since it is smaller than the sum of its proper divisors (2223592564).

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

2013021020 is a wasteful number, since it uses less digits than its factorization.

2013021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220709 (or 220707 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2013021020 is about 44866.7027984005. The cubic root of 2013021020 is about 1262.6493803573.

Adding to 2013021020 its reverse (201203102), we get a palindrome (2214224122).

The spelling of 2013021020 in words is "two billion, thirteen million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4570 9140 220243 440486 880972 1101215 2202430 4404860 100651051 201302102 402604204 503255255 1006510510 2013021020