Search a number
-
+
1112322331120 = 24571113173126357
BaseRepresentation
bin10000001011111011100…
…100111101000111110000
310221100002122201001020211
4100023323210331013300
5121211014004043440
62210554355513504
7143235245546110
oct20137344750760
93840078631224
101112322331120
11399807a59820
1215b6aa5b8894
1380b78959070
143bb9dc2d040
151de02691eea
hex102fb93d1f0

1112322331120 has 640 divisors, whose sum is σ = 3795309084672. Its totient is φ = 291476275200.

The previous prime is 1112322331097. The next prime is 1112322331123. The reversal of 1112322331120 is 211332232111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1112322331091 and 1112322331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112322331123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42188982 + ... + 42215338.

Almost surely, 21112322331120 is an apocalyptic number.

1112322331120 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 1112322331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897654542336).

1112322331120 is an abundant number, since it is smaller than the sum of its proper divisors (2682986753552).

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

1112322331120 is a wasteful number, since it uses less digits than its factorization.

1112322331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26449 (or 26443 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1112322331120 its reverse (211332232111), we get a palindrome (1323654563231).

Subtracting from 1112322331120 its reverse (211332232111), we obtain a palindrome (900990099009).

The spelling of 1112322331120 in words is "one trillion, one hundred twelve billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".