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311122001093 is a prime number
BaseRepresentation
bin1001000011100000101…
…00001111110011000101
31002202001121221020000112
410201300110033303011
520044134213013333
6354532200122405
731322615242451
oct4416024176305
91082047836015
10311122001093
1110aa45293342
125036a166405
1323453100c47
14110b62cd661
15815dceb948
hex487050fcc5

311122001093 has 2 divisors, whose sum is σ = 311122001094. Its totient is φ = 311122001092.

The previous prime is 311122001089. The next prime is 311122001147. The reversal of 311122001093 is 390100221113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229270507684 + 81851493409 = 478822^2 + 286097^2 .

It is a cyclic number.

It is not a de Polignac number, because 311122001093 - 22 = 311122001089 is a prime.

It is a super-2 number, since 2×3111220010932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311122001083) 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, 155561000546 + 155561000547.

It is an arithmetic number, because the mean of its divisors is an integer number (155561000547).

Almost surely, 2311122001093 is an apocalyptic number.

It is an amenable number.

311122001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

311122001093 is an equidigital number, since it uses as much as digits as its factorization.

311122001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 311122001093 in words is "three hundred eleven billion, one hundred twenty-two million, one thousand, ninety-three".