Search a number
-
+
12306248221313 = 1031303139965543
BaseRepresentation
bin1011001100010100010110…
…0011011100001010000001
31121120110120121010122211202
42303011011203130022001
53103111144021040223
642101225024150545
72410045205646464
oct263050543341201
947513517118752
1012306248221313
113a15061330272
121469049768455
136b3621b56167
143078a88a52db
151651a8de9428
hexb31458dc281

12306248221313 has 16 divisors (see below), whose sum is σ = 12444341145600. Its totient is φ = 12168527195664.

The previous prime is 12306248221291. The next prime is 12306248221357. The reversal of 12306248221313 is 31312284260321.

It is a cyclic number.

It is not a de Polignac number, because 12306248221313 - 216 = 12306248155777 is a prime.

It is a super-3 number, since 3×123062482213133 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12306248221373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187725620 + ... + 187791162.

It is an arithmetic number, because the mean of its divisors is an integer number (777771321600).

Almost surely, 212306248221313 is an apocalyptic number.

It is an amenable number.

12306248221313 is a deficient number, since it is larger than the sum of its proper divisors (138092924287).

12306248221313 is a wasteful number, since it uses less digits than its factorization.

12306248221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68348.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 12306248221313 in words is "twelve trillion, three hundred six billion, two hundred forty-eight million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 103 1303 1399 65543 134209 144097 1822897 6750929 85402529 91694657 187758391 8796460487 9444549671 119478138071 12306248221313