Search a number
-
+
1005242352011 = 20992071723117
BaseRepresentation
bin11101010000011010001…
…11010000000110001011
310120002201001211111111122
432220031013100012023
5112432214020231021
62045445120145455
7132424562003102
oct16501507200613
93502631744448
101005242352011
11358359112617
121429a576828b
1373a423bc991
1436922793039
151b236ae0bab
hexea0d1d018b

1005242352011 has 8 divisors (see below), whose sum is σ = 1005813320400. Its totient is φ = 1004671475488.

The previous prime is 1005242352001. The next prime is 1005242352019. The reversal of 1005242352011 is 1102532425001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005242352011 - 218 = 1005242089867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005242352019) 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 in 7 ways as a sum of consecutive naturals, for example, 43473425 + ... + 43496541.

It is an arithmetic number, because the mean of its divisors is an integer number (125726665050).

Almost surely, 21005242352011 is an apocalyptic number.

1005242352011 is a deficient number, since it is larger than the sum of its proper divisors (570968389).

1005242352011 is a wasteful number, since it uses less digits than its factorization.

1005242352011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45933.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 1005242352011 its reverse (1102532425001), we get a palindrome (2107774777012).

The spelling of 1005242352011 in words is "one trillion, five billion, two hundred forty-two million, three hundred fifty-two thousand, eleven".

Divisors: 1 2099 20717 23117 43484983 48522583 478914889 1005242352011