Search a number
-
+
311213000101 is a prime number
BaseRepresentation
bin1001000011101011011…
…11011000010110100101
31002202021222011110012011
410201311233120112211
520044331012000401
6354545210354221
731325101565623
oct4416557302645
91082258143164
10311213000101
1110aa91697233
125039472b971
1323468c12803
14110c441a513
158166cc4451
hex4875bd85a5

311213000101 has 2 divisors, whose sum is σ = 311213000102. Its totient is φ = 311213000100.

The previous prime is 311213000051. The next prime is 311213000107. The reversal of 311213000101 is 101000312113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162042477025 + 149170523076 = 402545^2 + 386226^2 .

It is an emirp because it is prime and its reverse (101000312113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311213000101 - 215 = 311212967333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311213000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155606500050 + 155606500051.

It is an arithmetic number, because the mean of its divisors is an integer number (155606500051).

Almost surely, 2311213000101 is an apocalyptic number.

It is an amenable number.

311213000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311213000101 is an equidigital number, since it uses as much as digits as its factorization.

311213000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 311213000101 its reverse (101000312113), we get a palindrome (412213312214).

The spelling of 311213000101 in words is "three hundred eleven billion, two hundred thirteen million, one hundred one", and thus it is an aban number.