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13004240021 is a prime number
BaseRepresentation
bin11000001110001110…
…01111010010010101
31020120021202211200022
430013013033102111
5203113041140041
65550221554525
7640154134133
oct140707172225
936507684608
1013004240021
115573611003
12262b115a45
1312c32278a6
148b5150753
155119dd24b
hex3071cf495

13004240021 has 2 divisors, whose sum is σ = 13004240022. Its totient is φ = 13004240020.

The previous prime is 13004240017. The next prime is 13004240063. The reversal of 13004240021 is 12004240031.

13004240021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7875675025 + 5128564996 = 88745^2 + 71614^2 .

It is a cyclic number.

It is not a de Polignac number, because 13004240021 - 22 = 13004240017 is a prime.

It is a super-2 number, since 2×130042400212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13004290021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502120010 + 6502120011.

It is an arithmetic number, because the mean of its divisors is an integer number (6502120011).

Almost surely, 213004240021 is an apocalyptic number.

It is an amenable number.

13004240021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004240021 is an equidigital number, since it uses as much as digits as its factorization.

13004240021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13004240021 its reverse (12004240031), we get a palindrome (25008480052).

The spelling of 13004240021 in words is "thirteen billion, four million, two hundred forty thousand, twenty-one".