Search a number
-
+
12404015711291 is a prime number
BaseRepresentation
bin1011010010000000100011…
…1100110100010000111011
31121220210221011220202002002
42310200020330310100323
53111211411010230131
642214154240531215
72420106033624431
oct264401074642073
947823834822062
1012404015711291
113a52571551566
121483b93920b0b
136bc902c90949
1430c501224d51
151679cc1446cb
hexb4808f3443b

12404015711291 has 2 divisors, whose sum is σ = 12404015711292. Its totient is φ = 12404015711290.

The previous prime is 12404015711267. The next prime is 12404015711303. The reversal of 12404015711291 is 19211751040421.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12404015711291 is a prime.

It is a super-3 number, since 3×124040157112913 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12404015711231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6202007855645 + 6202007855646.

It is an arithmetic number, because the mean of its divisors is an integer number (6202007855646).

Almost surely, 212404015711291 is an apocalyptic number.

12404015711291 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404015711291 is an equidigital number, since it uses as much as digits as its factorization.

12404015711291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 12404015711291 in words is "twelve trillion, four hundred four billion, fifteen million, seven hundred eleven thousand, two hundred ninety-one".