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33145440101 is a prime number
BaseRepresentation
bin11110110111100111…
…110100011101100101
310011112221222211000122
4132313213310131211
51020340213040401
623120553451325
72252242410104
oct366747643545
9104487884018
1033145440101
1113069811804
126510410b45
133182c3cb67
1418660b003b
15cded4b21b
hex7b79f4765

33145440101 has 2 divisors, whose sum is σ = 33145440102. Its totient is φ = 33145440100.

The previous prime is 33145440091. The next prime is 33145440113. The reversal of 33145440101 is 10104454133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29396817025 + 3748623076 = 171455^2 + 61226^2 .

It is a cyclic number.

It is not a de Polignac number, because 33145440101 - 26 = 33145440037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33145440151) 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, 16572720050 + 16572720051.

It is an arithmetic number, because the mean of its divisors is an integer number (16572720051).

Almost surely, 233145440101 is an apocalyptic number.

It is an amenable number.

33145440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33145440101 is an equidigital number, since it uses as much as digits as its factorization.

33145440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 33145440101 its reverse (10104454133), we get a palindrome (43249894234).

The spelling of 33145440101 in words is "thirty-three billion, one hundred forty-five million, four hundred forty thousand, one hundred one".