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2301313313 = 13414317661
BaseRepresentation
bin1000100100101011…
…0100000100100001
312221101022211101102
42021022310010201
514203114011223
61020205044145
7111012561155
oct21112640441
95841284342
102301313313
11a81038832
12542856655
132a8a14b70
1417b8d1065
15d7080928
hex892b4121

2301313313 has 8 divisors (see below), whose sum is σ = 2538785256. Its totient is φ = 2072476800.

The previous prime is 2301313229. The next prime is 2301313327. The reversal of 2301313313 is 3133131032.

It can be written as a sum of positive squares in 4 ways, for example, as 110418064 + 2190895249 = 10508^2 + 46807^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301313313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2301313363) 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, 2158298 + ... + 2159363.

It is an arithmetic number, because the mean of its divisors is an integer number (317348157).

Almost surely, 22301313313 is an apocalyptic number.

It is an amenable number.

2301313313 is a deficient number, since it is larger than the sum of its proper divisors (237471943).

2301313313 is a wasteful number, since it uses less digits than its factorization.

2301313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317715.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 2301313313 is about 47972.0055136326. The cubic root of 2301313313 is about 1320.2573176427.

Adding to 2301313313 its reverse (3133131032), we get a palindrome (5434444345).

The spelling of 2301313313 in words is "two billion, three hundred one million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 13 41 533 4317661 56129593 177024101 2301313313