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13453216129 is a prime number
BaseRepresentation
bin11001000011101111…
…11100100110000001
31021201120121012010001
430201313330212001
5210023010404004
610102541040001
7654245310313
oct144167744601
937646535101
1013453216129
115783a98441
122735556001
131365256522
14918a237b3
1553b1281a4
hex321dfc981

13453216129 has 2 divisors, whose sum is σ = 13453216130. Its totient is φ = 13453216128.

The previous prime is 13453216123. The next prime is 13453216163. The reversal of 13453216129 is 92161235431.

13453216129 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., 10499076225 + 2954139904 = 102465^2 + 54352^2 .

It is a cyclic number.

It is not a de Polignac number, because 13453216129 - 215 = 13453183361 is a prime.

It is not a weakly prime, because it can be changed into another prime (13453216123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6726608064 + 6726608065.

It is an arithmetic number, because the mean of its divisors is an integer number (6726608065).

Almost surely, 213453216129 is an apocalyptic number.

It is an amenable number.

13453216129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13453216129 is an equidigital number, since it uses as much as digits as its factorization.

13453216129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 37.

The spelling of 13453216129 in words is "thirteen billion, four hundred fifty-three million, two hundred sixteen thousand, one hundred twenty-nine".