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20130213220 = 2251377423897
BaseRepresentation
bin10010101111110110…
…101010110101100100
31220221220112210012121
4102233312222311210
5312211313310340
613125300155324
71311562663165
oct225766526544
956856483177
1020130213220
11859aa87157
123a99698b44
131b8a669490
14d8d6dd76c
157cc3dc94a
hex4afdaad64

20130213220 has 24 divisors (see below), whose sum is σ = 45525252024. Its totient is φ = 7432694016.

The previous prime is 20130213217. The next prime is 20130213221. The reversal of 20130213220 is 2231203102.

It can be written as a sum of positive squares in 4 ways, for example, as 185995044 + 19944218176 = 13638^2 + 141224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20130213194 and 20130213203.

It is not an unprimeable number, because it can be changed into a prime (20130213221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38711689 + ... + 38712208.

It is an arithmetic number, because the mean of its divisors is an integer number (1896885501).

Almost surely, 220130213220 is an apocalyptic number.

20130213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130213220 is an abundant number, since it is smaller than the sum of its proper divisors (25395038804).

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

20130213220 is a wasteful number, since it uses less digits than its factorization.

20130213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77423919 (or 77423917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20130213220 its reverse (2231203102), we get a palindrome (22361416322).

The spelling of 20130213220 in words is "twenty billion, one hundred thirty million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 77423897 154847794 309695588 387119485 774238970 1006510661 1548477940 2013021322 4026042644 5032553305 10065106610 20130213220