Search a number
-
+
1130103113101 = 17331320870249
BaseRepresentation
bin10000011100011111011…
…001010000010110001101
311000000222211101100200121
4100130133121100112031
5122003422344104401
62223055011424541
7144435002652454
oct20343731202615
94000884340617
101130103113101
113a6301822466
121630312b5151
1382750633b31
143c9a94b3b9b
151e5e3696ca1
hex1071f65058d

1130103113101 has 8 divisors (see below), whose sum is σ = 1140266979000. Its totient is φ = 1119980988672.

The previous prime is 1130103113093. The next prime is 1130103113107. The reversal of 1130103113101 is 1013113010311.

It can be written as a sum of positive squares in 4 ways, for example, as 1674937476 + 1128428175625 = 40926^2 + 1062275^2 .

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 1130103113101 - 23 = 1130103113093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130103113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10380976 + ... + 10489273.

It is an arithmetic number, because the mean of its divisors is an integer number (142533372375).

Almost surely, 21130103113101 is an apocalyptic number.

It is an amenable number.

1130103113101 is a deficient number, since it is larger than the sum of its proper divisors (10163865899).

1130103113101 is a wasteful number, since it uses less digits than its factorization.

1130103113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870735.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1130103113101 its reverse (1013113010311), we get a palindrome (2143216123412).

The spelling of 1130103113101 in words is "one trillion, one hundred thirty billion, one hundred three million, one hundred thirteen thousand, one hundred one".

Divisors: 1 173 313 54149 20870249 3610553077 6532387937 1130103113101