Search a number
-
+
103130113031 = 1115162719901
BaseRepresentation
bin110000000001100001…
…0001010010000000111
3100212012022111120002222
41200003002022100013
53142202302104111
6115213300122555
710310442332321
oct1400302122007
9325168446088
10103130113031
113a812295380
1217ba209645b
13995714c02a
144dc4a56611
152a38e307db
hex180308a407

103130113031 has 16 divisors (see below), whose sum is σ = 113280147456. Its totient is φ = 93109500000.

The previous prime is 103130112991. The next prime is 103130113067. The reversal of 103130113031 is 130311031301.

It is a de Polignac number, because none of the positive numbers 2k-103130113031 is a prime.

It is a super-2 number, since 2×1031301130312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130113081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10411181 + ... + 10421081.

It is an arithmetic number, because the mean of its divisors is an integer number (7080009216).

Almost surely, 2103130113031 is an apocalyptic number.

103130113031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103130113031 is a deficient number, since it is larger than the sum of its proper divisors (10150034425).

103130113031 is a wasteful number, since it uses less digits than its factorization.

103130113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 103130113031 its reverse (130311031301), we get a palindrome (233441144332).

The spelling of 103130113031 in words is "one hundred three billion, one hundred thirty million, one hundred thirteen thousand, thirty-one".

Divisors: 1 11 151 1661 6271 9901 68981 108911 946921 1495051 10416131 16445561 62089171 682980881 9375464821 103130113031