Search a number
-
+
13221322117 is a prime number
BaseRepresentation
bin11000101000000110…
…10101110110000101
31021010102020202022221
430110003111312011
5204034124301432
610023534452341
7645431245423
oct142403256605
937112222287
1013221322117
115675100aa3
12268b9640b1
1313291b3133
148d5cdc113
15525abdb97
hex3140d5d85

13221322117 has 2 divisors, whose sum is σ = 13221322118. Its totient is φ = 13221322116.

The previous prime is 13221322087. The next prime is 13221322133. The reversal of 13221322117 is 71122312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13197644161 + 23677956 = 114881^2 + 4866^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221322117 - 27 = 13221321989 is a prime.

It is a super-3 number, since 3×132213221173 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221322091 and 13221322100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221322157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610661058 + 6610661059.

It is an arithmetic number, because the mean of its divisors is an integer number (6610661059).

Almost surely, 213221322117 is an apocalyptic number.

It is an amenable number.

13221322117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221322117 is an equidigital number, since it uses as much as digits as its factorization.

13221322117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

Adding to 13221322117 its reverse (71122312231), we get a palindrome (84343634348).

The spelling of 13221322117 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred seventeen".