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301021707013 is a prime number
BaseRepresentation
bin1000110000101100100…
…10101011101100000101
31001202222201110010021121
410120112102223230011
514412443024111023
6350142031513541
730514412202106
oct4302622535405
91052881403247
10301021707013
111067319a6965
124a40b6888b1
13225036c9181
14107d8b003ad
157c6c22bd5d
hex46164abb05

301021707013 has 2 divisors, whose sum is σ = 301021707014. Its totient is φ = 301021707012.

The previous prime is 301021707011. The next prime is 301021707023. The reversal of 301021707013 is 310707120103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169585005249 + 131436701764 = 411807^2 + 362542^2 .

It is a cyclic number.

It is not a de Polignac number, because 301021707013 - 21 = 301021707011 is a prime.

It is a super-2 number, since 2×3010217070132 (a number of 24 digits) contains 22 as substring.

Together with 301021707011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301021707011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150510853506 + 150510853507.

It is an arithmetic number, because the mean of its divisors is an integer number (150510853507).

Almost surely, 2301021707013 is an apocalyptic number.

It is an amenable number.

301021707013 is a deficient number, since it is larger than the sum of its proper divisors (1).

301021707013 is an equidigital number, since it uses as much as digits as its factorization.

301021707013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

Adding to 301021707013 its reverse (310707120103), we get a palindrome (611728827116).

The spelling of 301021707013 in words is "three hundred one billion, twenty-one million, seven hundred seven thousand, thirteen".