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13633633001 is a prime number
BaseRepresentation
bin11001011001010000…
…01011101011101001
31022012011002022112102
430230220023223221
5210410202224001
610132504023145
7661565653112
oct145450135351
938164068472
1013633633001
11586691529a
122785a61ab5
131393745081
14934989209
1554bdb4e6b
hex32ca0bae9

13633633001 has 2 divisors, whose sum is σ = 13633633002. Its totient is φ = 13633633000.

The previous prime is 13633632977. The next prime is 13633633009. The reversal of 13633633001 is 10033633631.

13633633001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10766137600 + 2867495401 = 103760^2 + 53549^2 .

It is a cyclic number.

It is not a de Polignac number, because 13633633001 - 26 = 13633632937 is a prime.

It is not a weakly prime, because it can be changed into another prime (13633633009) 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, 6816816500 + 6816816501.

It is an arithmetic number, because the mean of its divisors is an integer number (6816816501).

Almost surely, 213633633001 is an apocalyptic number.

It is an amenable number.

13633633001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13633633001 is an equidigital number, since it uses as much as digits as its factorization.

13633633001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

The spelling of 13633633001 in words is "thirteen billion, six hundred thirty-three million, six hundred thirty-three thousand, one".