Search a number
-
+
311345552093 is a prime number
BaseRepresentation
bin1001000011111011010…
…01000001101011011101
31002202122012120210100012
410201331221001223131
520100113430131333
6355010303413005
731331301345602
oct4417551015335
91082565523305
10311345552093
1111004a4a1534
1250410bb4165
132348a512a44
14110d7c826a9
158173758e48
hex487da41add

311345552093 has 2 divisors, whose sum is σ = 311345552094. Its totient is φ = 311345552092.

The previous prime is 311345552081. The next prime is 311345552137. The reversal of 311345552093 is 390255543113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310769456089 + 576096004 = 557467^2 + 24002^2 .

It is a cyclic number.

It is not a de Polignac number, because 311345552093 - 28 = 311345551837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311345552093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311345552003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155672776046 + 155672776047.

It is an arithmetic number, because the mean of its divisors is an integer number (155672776047).

Almost surely, 2311345552093 is an apocalyptic number.

It is an amenable number.

311345552093 is a deficient number, since it is larger than the sum of its proper divisors (1).

311345552093 is an equidigital number, since it uses as much as digits as its factorization.

311345552093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 311345552093 in words is "three hundred eleven billion, three hundred forty-five million, five hundred fifty-two thousand, ninety-three".