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320130213013 = 1331780819613
BaseRepresentation
bin1001010100010010011…
…11110110010010010101
31010121022102110210200001
410222021033312102111
520221111313304023
6403022113251301
732062060625122
oct4521117662225
91117272423601
10320130213013
11113848183286
1252062b63b31
132425a497c60
14116cc841749
1584d9a9b6ad
hex4a893f6495

320130213013 has 16 divisors (see below), whose sum is σ = 345921949296. Its totient is φ = 294505528320.

The previous prime is 320130212993. The next prime is 320130213071. The reversal of 320130213013 is 310312031023.

It can be written as a sum of positive squares in 8 ways, for example, as 11108738404 + 309021474609 = 105398^2 + 555897^2 .

It is a cyclic number.

It is not a de Polignac number, because 320130213013 - 25 = 320130212981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130213083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33296995 + ... + 33306607.

It is an arithmetic number, because the mean of its divisors is an integer number (21620121831).

Almost surely, 2320130213013 is an apocalyptic number.

It is an amenable number.

320130213013 is a deficient number, since it is larger than the sum of its proper divisors (25791736283).

320130213013 is a wasteful number, since it uses less digits than its factorization.

320130213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18024.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 320130213013 its reverse (310312031023), we get a palindrome (630442244036).

The spelling of 320130213013 in words is "three hundred twenty billion, one hundred thirty million, two hundred thirteen thousand, thirteen".

Divisors: 1 13 317 4121 8081 9613 105053 124969 2561677 3047321 33301801 39615173 77682653 1009874489 24625401001 320130213013