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33122144389 is a prime number
BaseRepresentation
bin11110110110001110…
…111101000010000101
310011111100011021022111
4132312032331002011
51020313232110024
623114402301021
72251540403425
oct366616750205
9104440137274
1033122144389
1113057650354
126504657771
13317b174609
141862d68485
15cdcc98a94
hex7b63bd085

33122144389 has 2 divisors, whose sum is σ = 33122144390. Its totient is φ = 33122144388.

The previous prime is 33122144387. The next prime is 33122144411. The reversal of 33122144389 is 98344122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23235819489 + 9886324900 = 152433^2 + 99430^2 .

It is a cyclic number.

It is not a de Polignac number, because 33122144389 - 21 = 33122144387 is a prime.

Together with 33122144387, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33122144387) 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, 16561072194 + 16561072195.

It is an arithmetic number, because the mean of its divisors is an integer number (16561072195).

Almost surely, 233122144389 is an apocalyptic number.

It is an amenable number.

33122144389 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122144389 is an equidigital number, since it uses as much as digits as its factorization.

33122144389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 40.

The spelling of 33122144389 in words is "thirty-three billion, one hundred twenty-two million, one hundred forty-four thousand, three hundred eighty-nine".