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2301210013 is a prime number
BaseRepresentation
bin1000100100101001…
…1010110110011101
312221101010120200111
42021022122312131
514203102210023
61020202530021
7111011651044
oct21112326635
95841116614
102301210013
11a80a78163
12542806911
132a89a9b3b
1417b8a555b
15d706000d
hex8929ad9d

2301210013 has 2 divisors, whose sum is σ = 2301210014. Its totient is φ = 2301210012.

The previous prime is 2301209929. The next prime is 2301210017. The reversal of 2301210013 is 3100121032.

2301210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1826536644 + 474673369 = 42738^2 + 21787^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301210013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2301209975 and 2301210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301210017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150605006 + 1150605007.

It is an arithmetic number, because the mean of its divisors is an integer number (1150605007).

Almost surely, 22301210013 is an apocalyptic number.

It is an amenable number.

2301210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301210013 is an equidigital number, since it uses as much as digits as its factorization.

2301210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2301210013 is about 47970.9288319499. The cubic root of 2301210013 is about 1320.2375630355.

Adding to 2301210013 its reverse (3100121032), we get a palindrome (5401331045).

The spelling of 2301210013 in words is "two billion, three hundred one million, two hundred ten thousand, thirteen".