Search a number
-
+
1132023343122 = 2337411094791399
BaseRepresentation
bin10000011110010001110…
…110010110100000010010
311000012221122122011002000
4100132101312112200102
5122021340433434442
62224013324534430
7144533410436640
oct20362166264022
94005848564060
101132023343122
113a70a7735721
121634883b1416
13829983cb709
143cb0c526190
151e6a704dd4c
hex10791d96812

1132023343122 has 256 divisors, whose sum is σ = 2980454400000. Its totient is φ = 311775920640.

The previous prime is 1132023343111. The next prime is 1132023343169. The reversal of 1132023343122 is 2213433202311.

1132023343122 is a `hidden beast` number, since 1 + 1 + 3 + 202 + 3 + 3 + 431 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 809165379 + ... + 809166777.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400000).

Almost surely, 21132023343122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132023343122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200000).

1132023343122 is an abundant number, since it is smaller than the sum of its proper divisors (1848431056878).

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

1132023343122 is a wasteful number, since it uses less digits than its factorization.

1132023343122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1132023343122 its reverse (2213433202311), we get a palindrome (3345456545433).

The spelling of 1132023343122 in words is "one trillion, one hundred thirty-two billion, twenty-three million, three hundred forty-three thousand, one hundred twenty-two".