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2013300133 = 13274156501
BaseRepresentation
bin111100000000000…
…1000010110100101
312012022101020120121
41320000020112211
513110401101013
6531440001541
7100614524455
oct17000102645
95168336517
102013300133
11943501209
124823002b1
13261153070
1415155bd65
15bbb3d58d
hex780085a5

2013300133 has 8 divisors (see below), whose sum is σ = 2168998776. Its totient is φ = 1857720000.

The previous prime is 2013300083. The next prime is 2013300137. The reversal of 2013300133 is 3310033102.

It can be written as a sum of positive squares in 4 ways, for example, as 17623204 + 1995676929 = 4198^2 + 44673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013300133 - 29 = 2013299621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013300137) 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, 7383 + ... + 63883.

It is an arithmetic number, because the mean of its divisors is an integer number (271124847).

Almost surely, 22013300133 is an apocalyptic number.

It is an amenable number.

2013300133 is a deficient number, since it is larger than the sum of its proper divisors (155698643).

2013300133 is a wasteful number, since it uses less digits than its factorization.

2013300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59255.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2013300133 is about 44869.8131598517. The cubic root of 2013300133 is about 1262.7077347024.

Adding to 2013300133 its reverse (3310033102), we get a palindrome (5323333235).

The spelling of 2013300133 in words is "two billion, thirteen million, three hundred thousand, one hundred thirty-three".

Divisors: 1 13 2741 35633 56501 734513 154869241 2013300133