Search a number
-
+
10113312203333 is a prime number
BaseRepresentation
bin1001001100101011000001…
…1000011010001001000101
31022210211020010010120222222
42103022300120122021011
52311144030411001313
633301554054502125
72062443206234243
oct223126030321105
938724203116888
1010113312203333
11324a0390a3559
12117403b964945
135848b191b151
1426d6b6187793
1512810cbee208
hex932b061a245

10113312203333 has 2 divisors, whose sum is σ = 10113312203334. Its totient is φ = 10113312203332.

The previous prime is 10113312203261. The next prime is 10113312203339. The reversal of 10113312203333 is 33330221331101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10061983675969 + 51328527364 = 3172063^2 + 226558^2 .

It is an emirp because it is prime and its reverse (33330221331101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10113312203333 - 28 = 10113312203077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113312203339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056656101666 + 5056656101667.

It is an arithmetic number, because the mean of its divisors is an integer number (5056656101667).

Almost surely, 210113312203333 is an apocalyptic number.

It is an amenable number.

10113312203333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113312203333 is an equidigital number, since it uses as much as digits as its factorization.

10113312203333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 10113312203333 its reverse (33330221331101), we get a palindrome (43443533534434).

The spelling of 10113312203333 in words is "ten trillion, one hundred thirteen billion, three hundred twelve million, two hundred three thousand, three hundred thirty-three".