Search a number
-
+
12728154170101 is a prime number
BaseRepresentation
bin1011100100111000000100…
…0110111010001011110101
31200001210120221121112022011
42321032001012322023311
53132014224431420401
643023122221004221
72452402345231426
oct271160106721365
950053527545264
1012728154170101
114067a86230177
1215169750b3671
1371434b9a6576
1432009012564d
1517114da44451
hexb93811ba2f5

12728154170101 has 2 divisors, whose sum is σ = 12728154170102. Its totient is φ = 12728154170100.

The previous prime is 12728154170099. The next prime is 12728154170189. The reversal of 12728154170101 is 10107145182721.

12728154170101 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., 10223686502500 + 2504467667601 = 3197450^2 + 1582551^2 .

It is an emirp because it is prime and its reverse (10107145182721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12728154170101 - 21 = 12728154170099 is a prime.

Together with 12728154170099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12728154170201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6364077085050 + 6364077085051.

It is an arithmetic number, because the mean of its divisors is an integer number (6364077085051).

Almost surely, 212728154170101 is an apocalyptic number.

It is an amenable number.

12728154170101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12728154170101 is an equidigital number, since it uses as much as digits as its factorization.

12728154170101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 40.

The spelling of 12728154170101 in words is "twelve trillion, seven hundred twenty-eight billion, one hundred fifty-four million, one hundred seventy thousand, one hundred one".