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12410440240181 is a prime number
BaseRepresentation
bin1011010010011000011111…
…1000011100110000110101
31121221102111220210121220112
42310212013320130300311
53111313040200141211
642221135540512405
72420424164335364
oct264460770346065
947842456717815
1012410440240181
113a55268a81175
1214852873ab705
136c03b7ca8929
1430c9505817db
15167c5618888b
hexb4987e1cc35

12410440240181 has 2 divisors, whose sum is σ = 12410440240182. Its totient is φ = 12410440240180.

The previous prime is 12410440240127. The next prime is 12410440240223. The reversal of 12410440240181 is 18104204401421.

12410440240181 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., 9213349622500 + 3197090617681 = 3035350^2 + 1788041^2 .

It is an emirp because it is prime and its reverse (18104204401421) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12410440240181 is a prime.

It is a super-2 number, since 2×124104402401812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12410440240981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6205220120090 + 6205220120091.

It is an arithmetic number, because the mean of its divisors is an integer number (6205220120091).

Almost surely, 212410440240181 is an apocalyptic number.

It is an amenable number.

12410440240181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12410440240181 is an equidigital number, since it uses as much as digits as its factorization.

12410440240181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 12410440240181 in words is "twelve trillion, four hundred ten billion, four hundred forty million, two hundred forty thousand, one hundred eighty-one".