Search a number
-
+
111023332020 = 2236512176257
BaseRepresentation
bin110011101100110000…
…0011001101010110100
3101121120101222122000000
41213121200121222310
53304333433111040
6123000423151300
711010155515506
oct1473140315264
9347511878000
10111023332020
11430a285a657
12196255a5530
13a614516003
145533085d76
152d4bd87130
hex19d9819ab4

111023332020 has 168 divisors, whose sum is σ = 349906733064. Its totient is φ = 29577166848.

The previous prime is 111023331977. The next prime is 111023332037. The reversal of 111023332020 is 20233320111.

111023332020 is a `hidden beast` number, since 1 + 110 + 233 + 320 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33352986384 + 77670345636 = 182628^2 + 278694^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111023331984 and 111023332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17740732 + ... + 17746988.

It is an arithmetic number, because the mean of its divisors is an integer number (2082778173).

Almost surely, 2111023332020 is an apocalyptic number.

111023332020 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 111023332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953366532).

111023332020 is an abundant number, since it is smaller than the sum of its proper divisors (238883401044).

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

111023332020 is a wasteful number, since it uses less digits than its factorization.

111023332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 111023332020 its reverse (20233320111), we get a palindrome (131256652131).

The spelling of 111023332020 in words is "one hundred eleven billion, twenty-three million, three hundred thirty-two thousand, twenty".