Search a number
-
+
1000221200161 is a prime number
BaseRepresentation
bin11101000111000011101…
…01000100111100100001
310112121202010122120001121
432203201311010330201
5112341423111401121
62043254551332241
7132156261631321
oct16434165047441
93477663576047
101000221200161
11356211878947
12141a24081081
1373422066601
14365a7987281
151b040dac141
hexe8e1d44f21

1000221200161 has 2 divisors, whose sum is σ = 1000221200162. Its totient is φ = 1000221200160.

The previous prime is 1000221200101. The next prime is 1000221200219. The reversal of 1000221200161 is 1610021220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998001000000 + 2220200161 = 999000^2 + 47119^2 .

It is an emirp because it is prime and its reverse (1610021220001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000221200161 is a prime.

It is a super-2 number, since 2×10002212001612 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000221200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500110600080 + 500110600081.

It is an arithmetic number, because the mean of its divisors is an integer number (500110600081).

Almost surely, 21000221200161 is an apocalyptic number.

It is an amenable number.

1000221200161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221200161 is an equidigital number, since it uses as much as digits as its factorization.

1000221200161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1000221200161 its reverse (1610021220001), we get a palindrome (2610242420162).

The spelling of 1000221200161 in words is "one trillion, two hundred twenty-one million, two hundred thousand, one hundred sixty-one".