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10823472001 is a prime number
BaseRepresentation
bin10100001010010000…
…10001001110000001
31000221022021100100101
422011020101032001
5134131302101001
64550000322401
7532133664646
oct120510211601
930838240311
1010823472001
114654627791
122120913401
13103649ac04
1474967bdcd
1543531ea01
hex285211381

10823472001 has 2 divisors, whose sum is σ = 10823472002. Its totient is φ = 10823472000.

The previous prime is 10823471983. The next prime is 10823472007. The reversal of 10823472001 is 10027432801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8441934400 + 2381537601 = 91880^2 + 48801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10823472001 - 25 = 10823471969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10823472007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5411736000 + 5411736001.

It is an arithmetic number, because the mean of its divisors is an integer number (5411736001).

Almost surely, 210823472001 is an apocalyptic number.

It is an amenable number.

10823472001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10823472001 is an equidigital number, since it uses as much as digits as its factorization.

10823472001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 10823472001 in words is "ten billion, eight hundred twenty-three million, four hundred seventy-two thousand, one".