Search a number
-
+
221010112000201 is a prime number
BaseRepresentation
bin110010010000000111101101…
…001101111011000011001001
31001222112100201201000211020011
4302100013231031323003021
5212432012202133001301
62102014351021231521
764360311414562546
oct6220075515730311
91058470651024204
10221010112000201
1164469953558737
12209552a74025a1
1396422197b1504
143c80d37283bcd
151a83ea82bea51
hexc901ed37b0c9

221010112000201 has 2 divisors, whose sum is σ = 221010112000202. Its totient is φ = 221010112000200.

The previous prime is 221010112000193. The next prime is 221010112000213. The reversal of 221010112000201 is 102000211010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207915520364176 + 13094591636025 = 14419276^2 + 3618645^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010112000201 - 23 = 221010112000193 is a prime.

It is not a weakly prime, because it can be changed into another prime (221010112000291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505056000100 + 110505056000101.

It is an arithmetic number, because the mean of its divisors is an integer number (110505056000101).

Almost surely, 2221010112000201 is an apocalyptic number.

It is an amenable number.

221010112000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010112000201 is an equidigital number, since it uses as much as digits as its factorization.

221010112000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221010112000201 its reverse (102000211010122), we get a palindrome (323010323010323).

The spelling of 221010112000201 in words is "two hundred twenty-one trillion, ten billion, one hundred twelve million, two hundred one", and thus it is an aban number.