Search a number
-
+
12304281403181 is a prime number
BaseRepresentation
bin1011001100001101000001…
…0100100111111100101101
31121120021111112012221120202
42303003100110213330231
53103043132014400211
642100301524323245
72406645364165025
oct263032024477455
947507445187522
1012304281403181
113a14242097739
12146879ab43525
136b339a529151
1430775d5a6a85
151650e13dd53b
hexb30d0527f2d

12304281403181 has 2 divisors, whose sum is σ = 12304281403182. Its totient is φ = 12304281403180.

The previous prime is 12304281403103. The next prime is 12304281403247. The reversal of 12304281403181 is 18130418240321.

It is a happy number.

12304281403181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7357705075081 + 4946576328100 = 2712509^2 + 2224090^2 .

It is a cyclic number.

It is not a de Polignac number, because 12304281403181 - 214 = 12304281386797 is a prime.

It is a super-2 number, since 2×123042814031812 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12304281433181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6152140701590 + 6152140701591.

It is an arithmetic number, because the mean of its divisors is an integer number (6152140701591).

Almost surely, 212304281403181 is an apocalyptic number.

It is an amenable number.

12304281403181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12304281403181 is an equidigital number, since it uses as much as digits as its factorization.

12304281403181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 12304281403181 in words is "twelve trillion, three hundred four billion, two hundred eighty-one million, four hundred three thousand, one hundred eighty-one".