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2300013113 = 17296176481
BaseRepresentation
bin1000100100010111…
…0110101000111001
312221021212202211212
42021011312220321
514202300404423
61020121132505
7110665534406
oct21105665071
95837782755
102300013113
11a8032a992
1254232a135
132a867b108
1417b6732ad
15d6dc5578
hex89176a39

2300013113 has 16 divisors (see below), whose sum is σ = 2560617360. Its totient is φ = 2055782400.

The previous prime is 2300013109. The next prime is 2300013119. The reversal of 2300013113 is 3113100032.

It can be written as a sum of positive squares in 8 ways, for example, as 551686144 + 1748326969 = 23488^2 + 41813^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300013113 - 22 = 2300013109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2300013119) 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, 8168 + ... + 68313.

It is an arithmetic number, because the mean of its divisors is an integer number (160038585).

Almost surely, 22300013113 is an apocalyptic number.

It is an amenable number.

2300013113 is a deficient number, since it is larger than the sum of its proper divisors (260604247).

2300013113 is a wasteful number, since it uses less digits than its factorization.

2300013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76588.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2300013113 is about 47958.4519454079. The cubic root of 2300013113 is about 1320.0086303767.

Adding to 2300013113 its reverse (3113100032), we get a palindrome (5413113145).

The spelling of 2300013113 in words is "two billion, three hundred million, thirteen thousand, one hundred thirteen".

Divisors: 1 17 29 61 493 1037 1769 30073 76481 1300177 2217949 4665341 37705133 79310797 135294889 2300013113