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2013300340 = 225808112457
BaseRepresentation
bin111100000000000…
…1000011001110100
312012022101020212021
41320000020121310
513110401102330
6531440002524
7100614525202
oct17000103164
95168336767
102013300340
11943501387
12482300444
1326115319c
1415155c072
15bbb3d67a
hex78008674

2013300340 has 24 divisors (see below), whose sum is σ = 4228793352. Its totient is φ = 805155840.

The previous prime is 2013300329. The next prime is 2013300349. The reversal of 2013300340 is 430033102.

It can be written as a sum of positive squares in 4 ways, for example, as 330003556 + 1683296784 = 18166^2 + 41028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013300349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155392 + ... + 167848.

It is an arithmetic number, because the mean of its divisors is an integer number (176199723).

Almost surely, 22013300340 is an apocalyptic number.

2013300340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013300340 is an abundant number, since it is smaller than the sum of its proper divisors (2215493012).

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

2013300340 is a wasteful number, since it uses less digits than its factorization.

2013300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20547 (or 20545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2013300340 is about 44869.8154665249. The cubic root of 2013300340 is about 1262.7077779780.

Adding to 2013300340 its reverse (430033102), we get a palindrome (2443333442).

The spelling of 2013300340 in words is "two billion, thirteen million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 8081 12457 16162 24914 32324 40405 49828 62285 80810 124570 161620 249140 100665017 201330034 402660068 503325085 1006650170 2013300340