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13337800001 is a prime number
BaseRepresentation
bin11000110101111111…
…01010110101000001
31021102112102102221122
430122333222311001
5204303434100001
610043255202025
7651344300201
oct143277526501
937375372848
1013337800001
115724927609
122702976315
131347375b66
1490757c401
15530e2ab1b
hex31afead41

13337800001 has 2 divisors, whose sum is σ = 13337800002. Its totient is φ = 13337800000.

The previous prime is 13337799991. The next prime is 13337800037. The reversal of 13337800001 is 10000873331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12584352400 + 753447601 = 112180^2 + 27449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13337800001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13337803001) 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, 6668900000 + 6668900001.

It is an arithmetic number, because the mean of its divisors is an integer number (6668900001).

Almost surely, 213337800001 is an apocalyptic number.

It is an amenable number.

13337800001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13337800001 is an equidigital number, since it uses as much as digits as its factorization.

13337800001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 13337800001 in words is "thirteen billion, three hundred thirty-seven million, eight hundred thousand, one".