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301120131113 = 1729610791341
BaseRepresentation
bin1000110000111000010…
…10001001000000101001
31001210020120122120202122
410120130022021000221
514413143223143423
6350155505241025
730520015611614
oct4303412110051
91053216576678
10301120131113
1110678251139a
124a438633175
132251ac0a599
1410807c0117b
157c75bbe8c8
hex461c289029

301120131113 has 8 divisors (see below), whose sum is σ = 329827324680. Its totient is φ = 273634520320.

The previous prime is 301120131101. The next prime is 301120131139. The reversal of 301120131113 is 311131021103.

It can be written as a sum of positive squares in 4 ways, for example, as 18450332224 + 282669798889 = 135832^2 + 531667^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 301120131113 - 26 = 301120131049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 301120131091 and 301120131100.

It is not an unprimeable number, because it can be changed into a prime (301120134113) 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 7 ways as a sum of consecutive naturals, for example, 305395178 + ... + 305396163.

It is an arithmetic number, because the mean of its divisors is an integer number (41228415585).

Almost surely, 2301120131113 is an apocalyptic number.

It is an amenable number.

301120131113 is a deficient number, since it is larger than the sum of its proper divisors (28707193567).

301120131113 is a wasteful number, since it uses less digits than its factorization.

301120131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610791387.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 301120131113 its reverse (311131021103), we get a palindrome (612251152216).

The spelling of 301120131113 in words is "three hundred one billion, one hundred twenty million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 17 29 493 610791341 10383452797 17712948889 301120131113