Search a number
-
+
130021313103 = 33111030142499
BaseRepresentation
bin111100100010111011…
…1111100101001001111
3110102121102001001201000
41321011313330221033
54112240424004403
6135421515551343
712252022632453
oct1710567745117
9412542031630
10130021313103
1150161706a70
1221247a5b553
13c351427836
146416256663
1535aeb737a3
hex1e45dfca4f

130021313103 has 32 divisors (see below), whose sum is σ = 210160800000. Its totient is φ = 78791292000.

The previous prime is 130021313063. The next prime is 130021313141. The reversal of 130021313103 is 301313120031.

It is a happy number.

130021313103 is a `hidden beast` number, since 1 + 300 + 21 + 31 + 310 + 3 = 666.

It is not a de Polignac number, because 130021313103 - 212 = 130021309007 is a prime.

It is a super-2 number, since 2×1300213131032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021313183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3038148 + ... + 3080646.

It is an arithmetic number, because the mean of its divisors is an integer number (6567525000).

Almost surely, 2130021313103 is an apocalyptic number.

130021313103 is a deficient number, since it is larger than the sum of its proper divisors (80139486897).

130021313103 is a wasteful number, since it uses less digits than its factorization.

130021313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52820 (or 52814 counting only the distinct ones).

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

Adding to 130021313103 its reverse (301313120031), we get a palindrome (431334433134).

It can be divided in two parts, 1300213 and 13103, that added together give a square (1313316 = 11462).

The spelling of 130021313103 in words is "one hundred thirty billion, twenty-one million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 11 27 33 99 297 10301 30903 42499 92709 113311 127497 278127 339933 382491 467489 1019799 1147473 1402467 3059397 4207401 12622203 437782199 1313346597 3940039791 4815604189 11820119373 14446812567 43340437701 130021313103