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2345313313 = 7247863537
BaseRepresentation
bin1000101111001010…
…1010010000100001
320001110010021001001
42023302222100201
514300400011223
61024420112001
7112055556100
oct21362522041
96043107031
102345313313
11aa3960672
12555535601
132b4b7c275
141836a6037
15dad729ad
hex8bcaa421

2345313313 has 6 divisors (see below), whose sum is σ = 2728221666. Its totient is φ = 2010268512.

The previous prime is 2345313293. The next prime is 2345313329. The reversal of 2345313313 is 3133135432.

It can be written as a sum of positive squares in only one way, i.e., 1386296289 + 959017024 = 37233^2 + 30968^2 .

It is not a de Polignac number, because 2345313313 - 225 = 2311758881 is a prime.

It is a super-2 number, since 2×23453133132 = 11000989072270071938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2345313343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23931720 + ... + 23931817.

It is an arithmetic number, because the mean of its divisors is an integer number (454703611).

Almost surely, 22345313313 is an apocalyptic number.

It is an amenable number.

2345313313 is a deficient number, since it is larger than the sum of its proper divisors (382908353).

2345313313 is an equidigital number, since it uses as much as digits as its factorization.

2345313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47863551 (or 47863544 counting only the distinct ones).

The product of its digits is 9720, while the sum is 28.

The square root of 2345313313 is about 48428.4349633560. The cubic root of 2345313313 is about 1328.6184823636.

Adding to 2345313313 its reverse (3133135432), we get a palindrome (5478448745).

The spelling of 2345313313 in words is "two billion, three hundred forty-five million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 7 49 47863537 335044759 2345313313