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13044241123337 is a prime number
BaseRepresentation
bin1011110111010001100101…
…0110111100100000001001
31201012000110120222110021002
42331310121112330200021
53202204101211421322
643424235221224345
72514262312060304
oct275643126744011
951160416873232
1013044241123337
11417a039062546
121568089b620b5
137380b35b45c8
143314b7991b3b
1517949d672c92
hexbdd195bc809

13044241123337 has 2 divisors, whose sum is σ = 13044241123338. Its totient is φ = 13044241123336.

The previous prime is 13044241123321. The next prime is 13044241123343. The reversal of 13044241123337 is 73332114244031.

13044241123337 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., 6681961332601 + 6362279790736 = 2584949^2 + 2522356^2 .

It is a cyclic number.

It is not a de Polignac number, because 13044241123337 - 24 = 13044241123321 is a prime.

It is a super-2 number, since 2×130442411233372 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13044241123337.

It is not a weakly prime, because it can be changed into another prime (13044241123237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6522120561668 + 6522120561669.

It is an arithmetic number, because the mean of its divisors is an integer number (6522120561669).

Almost surely, 213044241123337 is an apocalyptic number.

It is an amenable number.

13044241123337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13044241123337 is an equidigital number, since it uses as much as digits as its factorization.

13044241123337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 38.

Adding to 13044241123337 its reverse (73332114244031), we get a palindrome (86376355367368).

The spelling of 13044241123337 in words is "thirteen trillion, forty-four billion, two hundred forty-one million, one hundred twenty-three thousand, three hundred thirty-seven".