Search a number
-
+
130032131103 = 3274967415543
BaseRepresentation
bin111100100011010000…
…1001101110000011111
3110102122011101200012200
41321012201031300133
54112301211143403
6135422543502543
712252213610020
oct1710641156037
9412564350180
10130032131103
1150167825766
122124b5b7a53
13c353744814
146417870c47
1535b0aadca3
hex1e4684dc1f

130032131103 has 24 divisors (see below), whose sum is σ = 214699949568. Its totient is φ = 74288936592.

The previous prime is 130032131101. The next prime is 130032131167. The reversal of 130032131103 is 301131230031.

It is a happy number.

130032131103 is a `hidden beast` number, since 1 + 30 + 0 + 321 + 311 + 0 + 3 = 666.

It is not a de Polignac number, because 130032131103 - 21 = 130032131101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032131101) 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 23 ways as a sum of consecutive naturals, for example, 105150 + ... + 520692.

It is an arithmetic number, because the mean of its divisors is an integer number (8945831232).

Almost surely, 2130032131103 is an apocalyptic number.

130032131103 is a deficient number, since it is larger than the sum of its proper divisors (84667818465).

130032131103 is a wasteful number, since it uses less digits than its factorization.

130032131103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420523 (or 420520 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130032131103 its reverse (301131230031), we get a palindrome (431163361134).

The spelling of 130032131103 in words is "one hundred thirty billion, thirty-two million, one hundred thirty-one thousand, one hundred three".

Divisors: 1 3 7 9 21 63 4967 14901 34769 44703 104307 312921 415543 1246629 2908801 3739887 8726403 26179209 2064002081 6192006243 14448014567 18576018729 43344043701 130032131103