Search a number
-
+
103211101013 is a prime number
BaseRepresentation
bin110000000011111011…
…1000110101101010101
3100212101221220011201212
41200013313012231111
53142334020213023
6115225312031205
710312444612016
oct1400767065525
9325357804655
10103211101013
113a853a80899
1218005232505
13996ab67007
144dd16d900d
152a410cbe78
hex1807dc6b55

103211101013 has 2 divisors, whose sum is σ = 103211101014. Its totient is φ = 103211101012.

The previous prime is 103211100991. The next prime is 103211101099. The reversal of 103211101013 is 310101112301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97708131889 + 5502969124 = 312583^2 + 74182^2 .

It is a cyclic number.

It is not a de Polignac number, because 103211101013 - 210 = 103211099989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103211101613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51605550506 + 51605550507.

It is an arithmetic number, because the mean of its divisors is an integer number (51605550507).

Almost surely, 2103211101013 is an apocalyptic number.

It is an amenable number.

103211101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103211101013 is an equidigital number, since it uses as much as digits as its factorization.

103211101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 103211101013 its reverse (310101112301), we get a palindrome (413312213314).

The spelling of 103211101013 in words is "one hundred three billion, two hundred eleven million, one hundred one thousand, thirteen".