Search a number
-
+
103100333122217 is a prime number
BaseRepresentation
bin10111011100010011101010…
…101110110110001010101001
3111112001021222111001111202102
4113130103222232312022221
5102003143440234402332
61003135350021143145
730500516236645544
oct2734235256661251
9445037874044672
10103100333122217
112a93a673255672
12b691650b5aab5
13456b4204ac502
141b661230c185b
15bdbd22601062
hex5dc4eabb62a9

103100333122217 has 2 divisors, whose sum is σ = 103100333122218. Its totient is φ = 103100333122216.

The previous prime is 103100333122187. The next prime is 103100333122223. The reversal of 103100333122217 is 712221333001301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59670928292416 + 43429404829801 = 7724696^2 + 6590099^2 .

It is a cyclic number.

It is not a de Polignac number, because 103100333122217 - 216 = 103100333056681 is a prime.

It is a super-2 number, since 2×1031003331222172 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103100333122217.

It is not a weakly prime, because it can be changed into another prime (103100333125217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51550166561108 + 51550166561109.

It is an arithmetic number, because the mean of its divisors is an integer number (51550166561109).

Almost surely, 2103100333122217 is an apocalyptic number.

It is an amenable number.

103100333122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

103100333122217 is an equidigital number, since it uses as much as digits as its factorization.

103100333122217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 103100333122217 its reverse (712221333001301), we get a palindrome (815321666123518).

The spelling of 103100333122217 in words is "one hundred three trillion, one hundred billion, three hundred thirty-three million, one hundred twenty-two thousand, two hundred seventeen".