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13000251601 is a prime number
BaseRepresentation
bin11000001101110000…
…00001100011010001
31020120000021012121001
430012320001203101
5203111031022401
65550000302001
7640105213111
oct140670014321
936500235531
1013000251601
115571337497
122629911901
1312c245c38c
148b47d3041
155114a1601
hex306e018d1

13000251601 has 2 divisors, whose sum is σ = 13000251602. Its totient is φ = 13000251600.

The previous prime is 13000251557. The next prime is 13000251617. The reversal of 13000251601 is 10615200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10835769025 + 2164482576 = 104095^2 + 46524^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000251601 - 219 = 12999727313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500125800 + 6500125801.

It is an arithmetic number, because the mean of its divisors is an integer number (6500125801).

Almost surely, 213000251601 is an apocalyptic number.

It is an amenable number.

13000251601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000251601 is an equidigital number, since it uses as much as digits as its factorization.

13000251601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 13000251601 its reverse (10615200031), we get a palindrome (23615451632).

The spelling of 13000251601 in words is "thirteen billion, two hundred fifty-one thousand, six hundred one".