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12338012140241 is a prime number
BaseRepresentation
bin1011001110001010101011…
…0101001011001011010001
31121200111120021112221002112
42303202222311023023101
53104121222101441431
642124000551155105
72412251304546224
oct263425265131321
947614507487075
1012338012140241
113a27581224737
121473233375a95
136b66147b7468
1430923d2b35bb
15165e17800c2b
hexb38aad4b2d1

12338012140241 has 2 divisors, whose sum is σ = 12338012140242. Its totient is φ = 12338012140240.

The previous prime is 12338012140213. The next prime is 12338012140253. The reversal of 12338012140241 is 14204121083321.

It is a happy number.

12338012140241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8414031483025 + 3923980657216 = 2900695^2 + 1980904^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338012140241 - 230 = 12336938398417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12338012140198 and 12338012140207.

It is not a weakly prime, because it can be changed into another prime (12338012140271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6169006070120 + 6169006070121.

It is an arithmetic number, because the mean of its divisors is an integer number (6169006070121).

Almost surely, 212338012140241 is an apocalyptic number.

It is an amenable number.

12338012140241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338012140241 is an equidigital number, since it uses as much as digits as its factorization.

12338012140241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 12338012140241 in words is "twelve trillion, three hundred thirty-eight billion, twelve million, one hundred forty thousand, two hundred forty-one".