Search a number
-
+
2301113311 = 71516193517
BaseRepresentation
bin1000100100101000…
…0011001111011111
312221100221200000221
42021022003033133
514203041111221
61020200502211
7111011066110
oct21112031737
95840850027
102301113311
11a80a11542
1254277a967
132a8974b13
1417b87c207
15d7041541
hex892833df

2301113311 has 16 divisors (see below), whose sum is σ = 2652290560. Its totient is φ = 1955599200.

The previous prime is 2301113299. The next prime is 2301113317. The reversal of 2301113311 is 1133111032.

2301113311 = 128142 + 128152 + ... + 128272.

2301113311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2301113311 - 227 = 2166895583 is a prime.

It is a super-2 number, since 2×23011133112 = 10590244940122765442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301113317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652525 + ... + 656041.

It is an arithmetic number, because the mean of its divisors is an integer number (165768160).

Almost surely, 22301113311 is an apocalyptic number.

2301113311 is a deficient number, since it is larger than the sum of its proper divisors (351177249).

2301113311 is a wasteful number, since it uses less digits than its factorization.

2301113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2301113311 is about 47969.9208984130. The cubic root of 2301113311 is about 1320.2190696631.

Adding to 2301113311 its reverse (1133111032), we get a palindrome (3434224343).

The spelling of 2301113311 in words is "two billion, three hundred one million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 7 151 619 1057 3517 4333 24619 93469 531067 654283 2177023 3717469 15239161 328730473 2301113311