Search a number
-
+
11320022332320 = 25351331103568151
BaseRepresentation
bin1010010010111010010111…
…1010001111001110100000
31111002011221211010120111020
42210232211322033032200
52440431401204113240
640024202500445440
72245562464134462
oct244564572171640
944064854116436
1011320022332320
113674881548899
121329a906a9880
13641620449480
142b1c6b934132
151496d6a460d0
hexa4ba5e8f3a0

11320022332320 has 384 divisors, whose sum is σ = 40024663031808. Its totient is φ = 2670395904000.

The previous prime is 11320022332309. The next prime is 11320022332327. The reversal of 11320022332320 is 2323322002311.

11320022332320 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 (24).

It is not an unprimeable number, because it can be changed into a prime (11320022332327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19640245 + ... + 20208395.

It is an arithmetic number, because the mean of its divisors is an integer number (104230893312).

Almost surely, 211320022332320 is an apocalyptic number.

11320022332320 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 11320022332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012331515904).

11320022332320 is an abundant number, since it is smaller than the sum of its proper divisors (28704640699488).

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

11320022332320 is a wasteful number, since it uses less digits than its factorization.

11320022332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568316 (or 568308 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11320022332320 its reverse (2323322002311), we get a palindrome (13643344334631).

The spelling of 11320022332320 in words is "eleven trillion, three hundred twenty billion, twenty-two million, three hundred thirty-two thousand, three hundred twenty".