Search a number
-
+
1033201121 is a prime number
BaseRepresentation
bin111101100101010…
…110010111100001
32200000011001111012
4331211112113201
54103444413441
6250305030305
734414031111
oct7545262741
92600131435
101033201121
11490240327
1224a025395
13136093214
149b311041
1560a8d9eb
hex3d9565e1

1033201121 has 2 divisors, whose sum is σ = 1033201122. Its totient is φ = 1033201120.

The previous prime is 1033201093. The next prime is 1033201123. The reversal of 1033201121 is 1211023301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 917423521 + 115777600 = 30289^2 + 10760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033201121 - 222 = 1029006817 is a prime.

Together with 1033201123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033201096 and 1033201105.

It is not a weakly prime, because it can be changed into another prime (1033201123) 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, 516600560 + 516600561.

It is an arithmetic number, because the mean of its divisors is an integer number (516600561).

Almost surely, 21033201121 is an apocalyptic number.

It is an amenable number.

1033201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033201121 is an equidigital number, since it uses as much as digits as its factorization.

1033201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1033201121 is about 32143.4460038123. The cubic root of 1033201121 is about 1010.9467712749.

Adding to 1033201121 its reverse (1211023301), we get a palindrome (2244224422).

The spelling of 1033201121 in words is "one billion, thirty-three million, two hundred one thousand, one hundred twenty-one".