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12333103221337 is a prime number
BaseRepresentation
bin1011001101111000011000…
…1111001000101001011001
31121200000220011120000022021
42303132012033020221121
53104031143411040322
642121425512054441
72412015536456263
oct263360617105131
947600804500267
1012333103221337
113a25492277268
1214722a3394421
136b6011798912
14308cd5360b33
15165c2b88b4c7
hexb37863c8a59

12333103221337 has 2 divisors, whose sum is σ = 12333103221338. Its totient is φ = 12333103221336.

The previous prime is 12333103221319. The next prime is 12333103221421. The reversal of 12333103221337 is 73312230133321.

12333103221337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10510200899136 + 1822902322201 = 3241944^2 + 1350149^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333103221337 - 219 = 12333102697049 is a prime.

It is not a weakly prime, because it can be changed into another prime (12333103227337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166551610668 + 6166551610669.

It is an arithmetic number, because the mean of its divisors is an integer number (6166551610669).

Almost surely, 212333103221337 is an apocalyptic number.

It is an amenable number.

12333103221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333103221337 is an equidigital number, since it uses as much as digits as its factorization.

12333103221337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 12333103221337 its reverse (73312230133321), we get a palindrome (85645333354658).

The spelling of 12333103221337 in words is "twelve trillion, three hundred thirty-three billion, one hundred three million, two hundred twenty-one thousand, three hundred thirty-seven".