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2013210020 = 225193521557
BaseRepresentation
bin111011111111111…
…0010010110100100
312012022012122222002
41313333302112210
513110340210040
6531434024432
7100614000653
oct16777622644
95168178862
102013210020
1194344a538
12482278118
13261121043
1415153719a
15bbb21a15
hex77ff25a4

2013210020 has 24 divisors (see below), whose sum is σ = 4249654584. Its totient is φ = 801110016.

The previous prime is 2013210013. The next prime is 2013210049. The reversal of 2013210020 is 200123102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105966436 + 1907243584 = 10294^2 + 43672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013209983 and 2013210010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256919 + ... + 264638.

It is an arithmetic number, because the mean of its divisors is an integer number (177068941).

Almost surely, 22013210020 is an apocalyptic number.

2013210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013210020 is an abundant number, since it is smaller than the sum of its proper divisors (2236444564).

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

2013210020 is a wasteful number, since it uses less digits than its factorization.

2013210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521759 (or 521757 counting only the distinct ones).

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

The square root of 2013210020 is about 44868.8089879818. The cubic root of 2013210020 is about 1262.6888953057.

Adding to 2013210020 its reverse (200123102), we get a palindrome (2213333122).

The spelling of 2013210020 in words is "two billion, thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 521557 1043114 2086228 2607785 5215570 10431140 100660501 201321002 402642004 503302505 1006605010 2013210020