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2013240220 = 225414357097
BaseRepresentation
bin111011111111111…
…1001101110011100
312012022021012101121
41313333321232130
513110342141340
6531434420324
7100614155005
oct16777715634
95168235347
102013240220
119434701a2
124822916a4
13261131a04
141515441ac
15bbb2a94a
hex77ff9b9c

2013240220 has 48 divisors (see below), whose sum is σ = 4431718368. Its totient is φ = 767370240.

The previous prime is 2013240197. The next prime is 2013240239. The reversal of 2013240220 is 220423102.

It is a junction number, because it is equal to n+sod(n) for n = 2013240194 and 2013240203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6712 + ... + 63808.

It is an arithmetic number, because the mean of its divisors is an integer number (92327466).

Almost surely, 22013240220 is an apocalyptic number.

2013240220 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 2013240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215859184).

2013240220 is an abundant number, since it is smaller than the sum of its proper divisors (2418478148).

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

2013240220 is a wasteful number, since it uses less digits than its factorization.

2013240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57190 (or 57188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2013240220 is about 44869.1455233995. The cubic root of 2013240220 is about 1262.6952091053.

Adding to 2013240220 its reverse (220423102), we get a palindrome (2233663322).

The spelling of 2013240220 in words is "two billion, thirteen million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1763 3526 7052 8815 17630 35260 57097 114194 228388 285485 570970 1141940 2340977 2455171 4681954 4910342 9363908 9820684 11704885 12275855 23409770 24551710 46819540 49103420 100662011 201324022 402648044 503310055 1006620110 2013240220