Search a number
-
+
20131010303022 = 233592107094653
BaseRepresentation
bin1001001001111000111011…
…01101111101010000101110
32122021111122201110110111000
410210330131231331100232
510114311302114144042
6110452020343341130
74145263126151043
oct444743555752056
978244581413430
1020131010303022
116461571557843
1223116367517a6
13b304665921b8
144d84bb9971ca
1524d9c176374c
hex124f1db7d42e

20131010303022 has 48 divisors (see below), whose sum is σ = 45506660377680. Its totient is φ = 6596602184592.

The previous prime is 20131010303011. The next prime is 20131010303023. The reversal of 20131010303022 is 22030301013102.

20131010303022 is a `hidden beast` number, since 20 + 1 + 310 + 1 + 0 + 30 + 302 + 2 = 666.

It is a super-3 number, since 3×201310103030223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20131010302986 and 20131010303004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131010303023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53359353 + ... + 53735300.

It is an arithmetic number, because the mean of its divisors is an integer number (948055424535).

Almost surely, 220131010303022 is an apocalyptic number.

20131010303022 is an abundant number, since it is smaller than the sum of its proper divisors (25375650074658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20131010303022 is a wasteful number, since it uses less digits than its factorization.

20131010303022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107094782 (or 107094717 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20131010303022 its reverse (22030301013102), we get a palindrome (42161311316124).

The spelling of 20131010303022 in words is "twenty trillion, one hundred thirty-one billion, ten million, three hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 3481 6962 10443 20886 31329 62658 93987 187974 107094653 214189306 321283959 642567918 963851877 1927703754 2891555631 5783111262 6318584527 12637169054 18955753581 37911507162 56867260743 113734521486 170601782229 341203564458 372796487093 745592974186 1118389461279 2236778922558 3355168383837 6710336767674 10065505151511 20131010303022