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13017627401 is a prime number
BaseRepresentation
bin11000001111110100…
…10011101100001001
31020121012221222201012
430013322103230021
5203130003034101
65551420533305
7640406002322
oct140772235411
936535858635
1013017627401
115580125159
1226336b1235
1312c5c3420c
148b6c37449
15512c84bbb
hex307e93b09

13017627401 has 2 divisors, whose sum is σ = 13017627402. Its totient is φ = 13017627400.

The previous prime is 13017627397. The next prime is 13017627407. The reversal of 13017627401 is 10472671031.

13017627401 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., 10388501776 + 2629125625 = 101924^2 + 51275^2 .

It is a cyclic number.

It is not a de Polignac number, because 13017627401 - 22 = 13017627397 is a prime.

It is not a weakly prime, because it can be changed into another prime (13017627407) 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, 6508813700 + 6508813701.

It is an arithmetic number, because the mean of its divisors is an integer number (6508813701).

Almost surely, 213017627401 is an apocalyptic number.

It is an amenable number.

13017627401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13017627401 is an equidigital number, since it uses as much as digits as its factorization.

13017627401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 13017627401 in words is "thirteen billion, seventeen million, six hundred twenty-seven thousand, four hundred one".