Search a number
-
+
1131313023220 = 225531067276437
BaseRepresentation
bin10000011101100111100…
…000101100100011110100
311000011010011001011100111
4100131213200230203310
5122013412113220340
62223415032152404
7144506664014302
oct20354740544364
94004104034314
101131313023220
113a6872787886
1216330a538704
13828b41b7c93
143ca82063272
151e6649ddaea
hex1076782c8f4

1131313023220 has 24 divisors (see below), whose sum is σ = 2420582961384. Its totient is φ = 443986997376.

The previous prime is 1131313023199. The next prime is 1131313023229. The reversal of 1131313023220 is 223203131311.

It can be written as a sum of positive squares in 4 ways, for example, as 340817769616 + 790495253604 = 583796^2 + 889098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1131313023191 and 1131313023200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131313023229) 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 7 ways as a sum of consecutive naturals, for example, 533637159 + ... + 533639278.

It is an arithmetic number, because the mean of its divisors is an integer number (100857623391).

Almost surely, 21131313023220 is an apocalyptic number.

1131313023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131313023220 is an abundant number, since it is smaller than the sum of its proper divisors (1289269938164).

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

1131313023220 is a wasteful number, since it uses less digits than its factorization.

1131313023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067276499 (or 1067276497 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1131313023220 its reverse (223203131311), we get a palindrome (1354516154531).

The spelling of 1131313023220 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1067276437 2134552874 4269105748 5336382185 10672764370 21345528740 56565651161 113131302322 226262604644 282828255805 565656511610 1131313023220