Search a number
-
+
103130100031 = 7212329170711
BaseRepresentation
bin110000000001100001…
…0000111000100111111
3100212012022110220021111
41200003002013010333
53142202301200111
6115213255542451
710310442246400
oct1400302070477
9325168426244
10103130100031
113a812286632
1217ba208aa27
13995714613a
144dc4a519a7
152a38e2ba21
hex180308713f

103130100031 has 12 divisors (see below), whose sum is σ = 119978100720. Its totient is φ = 88389540960.

The previous prime is 103130099983. The next prime is 103130100167. The reversal of 103130100031 is 130001031301.

It is a happy number.

It is not a de Polignac number, because 103130100031 - 217 = 103129968959 is a prime.

It is a super-2 number, since 2×1031301000312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103130099984 and 103130100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130100431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518766 + ... + 689476.

It is an arithmetic number, because the mean of its divisors is an integer number (9998175060).

Almost surely, 2103130100031 is an apocalyptic number.

103130100031 is a deficient number, since it is larger than the sum of its proper divisors (16848000689).

103130100031 is a wasteful number, since it uses less digits than its factorization.

103130100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183054 (or 183047 counting only the distinct ones).

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

Adding to 103130100031 its reverse (130001031301), we get a palindrome (233131131332).

The spelling of 103130100031 in words is "one hundred three billion, one hundred thirty million, one hundred thousand, thirty-one".

Divisors: 1 7 49 12329 86303 170711 604121 1194977 8364839 2104695919 14732871433 103130100031