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13001300029 is a prime number
BaseRepresentation
bin11000001101111000…
…00001100000111101
31020120002020110202201
430012330001200331
5203111313100104
65550034551501
7640120140544
oct140674014075
936502213681
1013001300029
115571993163
12262a138591
1312c2738653
148b49c715b
1551160c0a4
hex306f0183d

13001300029 has 2 divisors, whose sum is σ = 13001300030. Its totient is φ = 13001300028.

The previous prime is 13001300021. The next prime is 13001300071. The reversal of 13001300029 is 92000310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12571567129 + 429732900 = 112123^2 + 20730^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001300029 - 23 = 13001300021 is a prime.

It is a super-3 number, since 3×130013000293 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13001299979 and 13001300015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001300021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500650014 + 6500650015.

It is an arithmetic number, because the mean of its divisors is an integer number (6500650015).

Almost surely, 213001300029 is an apocalyptic number.

It is an amenable number.

13001300029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001300029 is an equidigital number, since it uses as much as digits as its factorization.

13001300029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The spelling of 13001300029 in words is "thirteen billion, one million, three hundred thousand, twenty-nine".