Search a number
-
+
103130100013 = 4123991048507
BaseRepresentation
bin110000000001100001…
…0000111000100101101
3100212012022110220020211
41200003002013010231
53142202301200023
6115213255542421
710310442246343
oct1400302070455
9325168426224
10103130100013
113a812286616
1217ba208aa11
139957146125
144dc4a51993
152a38e2ba0d
hex180308712d

103130100013 has 8 divisors (see below), whose sum is σ = 105689606400. Its totient is φ = 100572695520.

The previous prime is 103130099983. The next prime is 103130100167. The reversal of 103130100013 is 310001031301.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103130100013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103130099966 and 103130100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130100713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425895 + ... + 622612.

It is an arithmetic number, because the mean of its divisors is an integer number (13211200800).

Almost surely, 2103130100013 is an apocalyptic number.

It is an amenable number.

103130100013 is a deficient number, since it is larger than the sum of its proper divisors (2559506387).

103130100013 is a wasteful number, since it uses less digits than its factorization.

103130100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050947.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 103130100013 its reverse (310001031301), we get a palindrome (413131131314).

The spelling of 103130100013 in words is "one hundred three billion, one hundred thirty million, one hundred thousand, thirteen".

Divisors: 1 41 2399 98359 1048507 42988787 2515368293 103130100013