Search a number
-
+
33033012101 is a prime number
BaseRepresentation
bin11110110000111010…
…111100001110000101
310011021010102212210122
4132300322330032011
51020122422341401
623101500031325
72246405653505
oct366072741605
9104233385718
1033033012101
1113011301a01
12649a832545
13316586760b
1418551a5a05
15cd503e21b
hex7b0ebc385

33033012101 has 2 divisors, whose sum is σ = 33033012102. Its totient is φ = 33033012100.

The previous prime is 33033012053. The next prime is 33033012127. The reversal of 33033012101 is 10121033033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33024339076 + 8673025 = 181726^2 + 2945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33033012101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33033012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33033012151) 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, 16516506050 + 16516506051.

It is an arithmetic number, because the mean of its divisors is an integer number (16516506051).

Almost surely, 233033012101 is an apocalyptic number.

It is an amenable number.

33033012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33033012101 is an equidigital number, since it uses as much as digits as its factorization.

33033012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33033012101 its reverse (10121033033), we get a palindrome (43154045134).

The spelling of 33033012101 in words is "thirty-three billion, thirty-three million, twelve thousand, one hundred one".