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13001413027 is a prime number
BaseRepresentation
bin11000001101111000…
…11101000110100011
31020120002110012202211
430012330131012203
5203111330204102
65550041222551
7640121121151
oct140674350643
936502405684
1013001413027
115571a60049
12262a191a57
1312c2777c05
148b4a163d1
155116307d7
hex306f1d1a3

13001413027 has 2 divisors, whose sum is σ = 13001413028. Its totient is φ = 13001413026.

The previous prime is 13001412973. The next prime is 13001413057. The reversal of 13001413027 is 72031410031.

13001413027 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 is a cyclic number.

It is not a de Polignac number, because 13001413027 - 211 = 13001410979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13001412989 and 13001413007.

It is not a weakly prime, because it can be changed into another prime (13001413057) 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, 6500706513 + 6500706514.

It is an arithmetic number, because the mean of its divisors is an integer number (6500706514).

Almost surely, 213001413027 is an apocalyptic number.

13001413027 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001413027 is an equidigital number, since it uses as much as digits as its factorization.

13001413027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13001413027 its reverse (72031410031), we get a palindrome (85032823058).

The spelling of 13001413027 in words is "thirteen billion, one million, four hundred thirteen thousand, twenty-seven".