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2013123220 = 225611650101
BaseRepresentation
bin111011111111101…
…1101001010010100
312012022001020220021
41313333131022110
513110324420340
6531432114524
7100613156623
oct16777351224
95168036807
102013123220
119433a02a9
12482235a44
132610c0694
141515136ba
15bbb05e4a
hex77fdd294

2013123220 has 24 divisors (see below), whose sum is σ = 4296865608. Its totient is φ = 792048000.

The previous prime is 2013123209. The next prime is 2013123241. The reversal of 2013123220 is 223213102.

It can be written as a sum of positive squares in 4 ways, for example, as 77475204 + 1935648016 = 8802^2 + 43996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013123194 and 2013123203.

It is a congruent number.

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, 823831 + ... + 826270.

It is an arithmetic number, because the mean of its divisors is an integer number (179036067).

Almost surely, 22013123220 is an apocalyptic number.

2013123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013123220 is an abundant number, since it is smaller than the sum of its proper divisors (2283742388).

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

2013123220 is a wasteful number, since it uses less digits than its factorization.

2013123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650171 (or 1650169 counting only the distinct ones).

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

The square root of 2013123220 is about 44867.8417131914. The cubic root of 2013123220 is about 1262.6707480069.

Adding to 2013123220 its reverse (223213102), we get a palindrome (2236336322).

The spelling of 2013123220 in words is "two billion, thirteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1650101 3300202 6600404 8250505 16501010 33002020 100656161 201312322 402624644 503280805 1006561610 2013123220