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323223113031313 = 112137161312088213
BaseRepresentation
bin100100101111110000011111…
…0110101011101111010010001
31120101102211100111012200212011
41021133200332311131322101
5314331141413414000223
63103234352004302521
7125040046025321035
oct11137407665357221
91511384314180764
10323223113031313
1193a97174995a00
123030297a6a1a41
1310b47a68b50ab1
1459b61215801c5
152757b9559880d
hex125f83ed5de91

323223113031313 has 24 divisors (see below), whose sum is σ = 358093466726184. Its totient is φ = 291513518250240.

The previous prime is 323223113031271. The next prime is 323223113031331. The reversal of 323223113031313 is 313130311322323.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119447259631249 + 203775853400064 = 10929193^2 + 14275008^2 .

It is not a de Polignac number, because 323223113031313 - 217 = 323223112900241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323223113031913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20694595 + ... + 32782807.

It is an arithmetic number, because the mean of its divisors is an integer number (14920561113591).

Almost surely, 2323223113031313 is an apocalyptic number.

It is an amenable number.

323223113031313 is a deficient number, since it is larger than the sum of its proper divisors (34870353694871).

323223113031313 is a wasteful number, since it uses less digits than its factorization.

323223113031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089985 (or 12089974 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 323223113031313 its reverse (313130311322323), we get a palindrome (636353424353636).

The spelling of 323223113031313 in words is "three hundred twenty-three trillion, two hundred twenty-three billion, one hundred thirteen million, thirty-one thousand, three hundred thirteen".

Divisors: 1 11 121 137 1507 1613 16577 17743 195173 220981 2430791 12088213 26738701 132970343 1462673773 1656085181 18216936991 19498287569 200386306901 214481163259 2359292795849 2671265396953 29383919366483 323223113031313