Search a number
-
+
103312121111 is a prime number
BaseRepresentation
bin110000000110111100…
…0011101110100010111
3100212122222222112020222
41200031320131310113
53143040400333421
6115243321144555
710315112353163
oct1401570356427
9325588875228
10103312121111
113a8a5aa9781
121803302b15b
139985a76c14
145000cb3ca3
152a49dd3cab
hex180de1dd17

103312121111 has 2 divisors, whose sum is σ = 103312121112. Its totient is φ = 103312121110.

The previous prime is 103312121021. The next prime is 103312121113. The reversal of 103312121111 is 111121213301.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103312121111 is a prime.

Together with 103312121113, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103312121111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103312121113) 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, 51656060555 + 51656060556.

It is an arithmetic number, because the mean of its divisors is an integer number (51656060556).

Almost surely, 2103312121111 is an apocalyptic number.

103312121111 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312121111 is an equidigital number, since it uses as much as digits as its factorization.

103312121111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 103312121111 its reverse (111121213301), we get a palindrome (214433334412).

The spelling of 103312121111 in words is "one hundred three billion, three hundred twelve million, one hundred twenty-one thousand, one hundred eleven".