Search a number
-
+
311441122410073 is a prime number
BaseRepresentation
bin100011011010000010000100…
…1011110000011111001011001
31111211201110222022020111211021
41012310010021132003321121
5311310122404314110243
63022214024304002441
7122412610226405665
oct10664041136037131
91454643868214737
10311441122410073
11902644903900a7
122ab1b461900421
13104a1a05915816
1456c9b8b8318a5
152601471c096ed
hex11b4109783e59

311441122410073 has 2 divisors, whose sum is σ = 311441122410074. Its totient is φ = 311441122410072.

The previous prime is 311441122410017. The next prime is 311441122410097. The reversal of 311441122410073 is 370014221144113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272491877699584 + 38949244710489 = 16507328^2 + 6240933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311441122410073 is a prime.

It is a super-2 number, since 2×3114411224100732 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311441122410013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720561205036 + 155720561205037.

It is an arithmetic number, because the mean of its divisors is an integer number (155720561205037).

Almost surely, 2311441122410073 is an apocalyptic number.

It is an amenable number.

311441122410073 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441122410073 is an equidigital number, since it uses as much as digits as its factorization.

311441122410073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 311441122410073 its reverse (370014221144113), we get a palindrome (681455343554186).

The spelling of 311441122410073 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred twenty-two million, four hundred ten thousand, seventy-three".