Search a number
-
+
2033232121121 is a prime number
BaseRepresentation
bin11101100101100110000…
…101000000110100100001
321012101010102221111222212
4131211212011000310201
5231303024410333441
64154015352411505
7266616246605405
oct35454605006441
97171112844885
102033232121121
1171431a5872a3
1228a0793a6b95
1311996b433576
14705a2285105
1537d5074beeb
hex1d966140d21

2033232121121 has 2 divisors, whose sum is σ = 2033232121122. Its totient is φ = 2033232121120.

The previous prime is 2033232121073. The next prime is 2033232121127. The reversal of 2033232121121 is 1211212323302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1938220840000 + 95011281121 = 1392200^2 + 308239^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033232121121 - 226 = 2033165012257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033232121127) 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, 1016616060560 + 1016616060561.

It is an arithmetic number, because the mean of its divisors is an integer number (1016616060561).

Almost surely, 22033232121121 is an apocalyptic number.

It is an amenable number.

2033232121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033232121121 is an equidigital number, since it uses as much as digits as its factorization.

2033232121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2033232121121 its reverse (1211212323302), we get a palindrome (3244444444423).

The spelling of 2033232121121 in words is "two trillion, thirty-three billion, two hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-one".