Search a number
-
+
310144235012233 is a prime number
BaseRepresentation
bin100011010000100110001010…
…0111101010000000010001001
31111200010111110222210122001121
41012201030110331100002021
5311122400343130342413
63015342143350115241
7122220116160410206
oct10641142475200211
91450114428718047
10310144235012233
118a904482247a96
122a95004494bb21
131040962563950b
1456830bd800cad
1525cc86b1bbb8d
hex11a1314f50089

310144235012233 has 2 divisors, whose sum is σ = 310144235012234. Its totient is φ = 310144235012232.

The previous prime is 310144235012197. The next prime is 310144235012243. The reversal of 310144235012233 is 332210532441013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308044726747209 + 2099508265024 = 17551203^2 + 1448968^2 .

It is an emirp because it is prime and its reverse (332210532441013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310144235012233 - 233 = 310135645077641 is a prime.

It is a super-2 number, since 2×3101442350122332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (310144235012243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155072117506116 + 155072117506117.

It is an arithmetic number, because the mean of its divisors is an integer number (155072117506117).

Almost surely, 2310144235012233 is an apocalyptic number.

It is an amenable number.

310144235012233 is a deficient number, since it is larger than the sum of its proper divisors (1).

310144235012233 is an equidigital number, since it uses as much as digits as its factorization.

310144235012233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 310144235012233 its reverse (332210532441013), we get a palindrome (642354767453246).

The spelling of 310144235012233 in words is "three hundred ten trillion, one hundred forty-four billion, two hundred thirty-five million, twelve thousand, two hundred thirty-three".