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13332832001 is a prime number
BaseRepresentation
bin11000110101011001…
…01101111100000001
31021102012002001010122
430122230231330001
5204301201111001
610043000510025
7651254126216
oct143254557401
937365061118
1013332832001
115722044025
12270117b315
131346326808
14906a47b0d
15530798b1b
hex31ab2df01

13332832001 has 2 divisors, whose sum is σ = 13332832002. Its totient is φ = 13332832000.

The previous prime is 13332831991. The next prime is 13332832033. The reversal of 13332832001 is 10023823331.

13332832001 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., 8953701376 + 4379130625 = 94624^2 + 66175^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332832001 - 210 = 13332830977 is a prime.

It is not a weakly prime, because it can be changed into another prime (13332835001) 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, 6666416000 + 6666416001.

It is an arithmetic number, because the mean of its divisors is an integer number (6666416001).

Almost surely, 213332832001 is an apocalyptic number.

It is an amenable number.

13332832001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332832001 is an equidigital number, since it uses as much as digits as its factorization.

13332832001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 13332832001 in words is "thirteen billion, three hundred thirty-two million, eight hundred thirty-two thousand, one".