Search a number
-
+
217049801389 is a prime number
BaseRepresentation
bin1100101000100100101…
…1010010001010101101
3202202020120111100001221
43022021023102022231
512024004222121024
6243413350303341
721452460604531
oct3121113221255
9682216440057
10217049801389
1184060a55353
1236095657b51
131761072b455
14a710645bc1
1559a51d73e4
hex32892d22ad

217049801389 has 2 divisors, whose sum is σ = 217049801390. Its totient is φ = 217049801388.

The previous prime is 217049801351. The next prime is 217049801393. The reversal of 217049801389 is 983108940712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212959175625 + 4090625764 = 461475^2 + 63958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217049801389 is a prime.

It is a super-2 number, since 2×2170498013892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217049801789) 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, 108524900694 + 108524900695.

It is an arithmetic number, because the mean of its divisors is an integer number (108524900695).

Almost surely, 2217049801389 is an apocalyptic number.

It is an amenable number.

217049801389 is a deficient number, since it is larger than the sum of its proper divisors (1).

217049801389 is an equidigital number, since it uses as much as digits as its factorization.

217049801389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 217049801389 in words is "two hundred seventeen billion, forty-nine million, eight hundred one thousand, three hundred eighty-nine".