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33123113201 is a prime number
BaseRepresentation
bin11110110110010010…
…101001100011110001
310011111101222111021102
4132312102221203301
51020314004110301
623114435134145
72251551550103
oct366622514361
9104441874242
1033123113201
1113058152222
126504a44355
13317b423589
14186313b573
15cdcddab6b
hex7b64a98f1

33123113201 has 2 divisors, whose sum is σ = 33123113202. Its totient is φ = 33123113200.

The previous prime is 33123113197. The next prime is 33123113207. The reversal of 33123113201 is 10231132133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24012601600 + 9110511601 = 154960^2 + 95449^2 .

It is a cyclic number.

It is not a de Polignac number, because 33123113201 - 22 = 33123113197 is a prime.

It is not a weakly prime, because it can be changed into another prime (33123113207) 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, 16561556600 + 16561556601.

It is an arithmetic number, because the mean of its divisors is an integer number (16561556601).

Almost surely, 233123113201 is an apocalyptic number.

It is an amenable number.

33123113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33123113201 is an equidigital number, since it uses as much as digits as its factorization.

33123113201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33123113201 its reverse (10231132133), we get a palindrome (43354245334).

The spelling of 33123113201 in words is "thirty-three billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred one".