Search a number
-
+
2220000131313 = 323739209170029
BaseRepresentation
bin100000010011100010010…
…100011011100011110001
321212020012121220110211200
4200103202110123203301
5242333030013200223
64415504243201413
7316250446523556
oct40234224334361
97766177813750
102220000131313
11786551220728
122ba301676269
131314642a5b73
147963cc8ca2d
153cb321e6a43
hex204e251b8f1

2220000131313 has 24 divisors (see below), whose sum is σ = 3293436892200. Its totient is φ = 1439954889984.

The previous prime is 2220000131267. The next prime is 2220000131317. The reversal of 2220000131313 is 3131310000222.

2220000131313 is a `hidden beast` number, since 2 + 220 + 0 + 0 + 0 + 131 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589506090849 + 1630494040464 = 767793^2 + 1276908^2 .

It is not a de Polignac number, because 2220000131313 - 29 = 2220000130801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2220000131317) 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, 12971583 + ... + 13141611.

It is an arithmetic number, because the mean of its divisors is an integer number (137226537175).

Almost surely, 22220000131313 is an apocalyptic number.

It is an amenable number.

2220000131313 is a deficient number, since it is larger than the sum of its proper divisors (1073436760887).

2220000131313 is a wasteful number, since it uses less digits than its factorization.

2220000131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209281 (or 209278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2220000131313 its reverse (3131310000222), we get a palindrome (5351310131535).

The spelling of 2220000131313 in words is "two trillion, two hundred twenty billion, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 39209 117627 170029 352881 510087 1450733 1530261 4352199 6291073 13056597 18873219 56619657 6666667061 20000001183 60000003549 246666681257 740000043771 2220000131313