Search a number
-
+
11320243304340 = 2235719733138269
BaseRepresentation
bin1010010010111011001100…
…0101001011011110010100
31111002012112012221010010010
42210232303011023132110
52440432324241214330
640024240433000220
72245601116306665
oct244566305133624
944065465833103
1011320243304340
1136749852553a3
121329b326b3070
13641657167449
142b1c8d01536c
151496eb1443b0
hexa4bb314b794

11320243304340 has 192 divisors, whose sum is σ = 32488216266240. Its totient is φ = 2944286392320.

The previous prime is 11320243304267. The next prime is 11320243304387. The reversal of 11320243304340 is 4340334202311.

It is a happy number.

11320243304340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11320243304298 and 11320243304307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368993726 + ... + 1369001994.

It is an arithmetic number, because the mean of its divisors is an integer number (169209459720).

Almost surely, 211320243304340 is an apocalyptic number.

11320243304340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320243304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244108133120).

11320243304340 is an abundant number, since it is smaller than the sum of its proper divisors (21167972961900).

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

11320243304340 is a wasteful number, since it uses less digits than its factorization.

11320243304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 11320243304340 its reverse (4340334202311), we get a palindrome (15660577506651).

The spelling of 11320243304340 in words is "eleven trillion, three hundred twenty billion, two hundred forty-three million, three hundred four thousand, three hundred forty".