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12211465136509 is a prime number
BaseRepresentation
bin1011000110110011010000…
…0010101010100101111101
31121020101221000001001212101
42301230310002222211331
53100033040033332014
641545511501505101
72400151330013332
oct261546402524575
947211830031771
1012211465136509
113988942798831
1214527b6b72191
136a76c81028b2
1430307664c989
151629acbb2474
hexb1b340aa97d

12211465136509 has 2 divisors, whose sum is σ = 12211465136510. Its totient is φ = 12211465136508.

The previous prime is 12211465136449. The next prime is 12211465136513. The reversal of 12211465136509 is 90563156411221.

12211465136509 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., 12015561524409 + 195903612100 = 3466347^2 + 442610^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211465136509 - 223 = 12211456747901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211465136539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105732568254 + 6105732568255.

It is an arithmetic number, because the mean of its divisors is an integer number (6105732568255).

Almost surely, 212211465136509 is an apocalyptic number.

It is an amenable number.

12211465136509 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211465136509 is an equidigital number, since it uses as much as digits as its factorization.

12211465136509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 12211465136509 in words is "twelve trillion, two hundred eleven billion, four hundred sixty-five million, one hundred thirty-six thousand, five hundred nine".