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111023032120 = 2357112131913267
BaseRepresentation
bin110011101100101111…
…1010000011100111000
3101121120101102101121121
41213121133100130320
53304333344011440
6123000412515024
711010153126250
oct1473137203470
9347511371547
10111023032120
11430a2675300
121962547ba74
13a61443c660
145533008960
152d4bd2834a
hex19d97d0738

111023032120 has 384 divisors, whose sum is σ = 355752230400. Its totient is φ = 30259215360.

The previous prime is 111023032091. The next prime is 111023032121. The reversal of 111023032120 is 21230320111.

It is a super-2 number, since 2×1110230321202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023032094 and 111023032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111023032121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8361727 + ... + 8374993.

It is an arithmetic number, because the mean of its divisors is an integer number (926438100).

Almost surely, 2111023032120 is an apocalyptic number.

111023032120 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 111023032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177876115200).

111023032120 is an abundant number, since it is smaller than the sum of its proper divisors (244729198280).

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

111023032120 is a wasteful number, since it uses less digits than its factorization.

111023032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 111023032120 its reverse (21230320111), we get a palindrome (132253352231).

The spelling of 111023032120 in words is "one hundred eleven billion, twenty-three million, thirty-two thousand, one hundred twenty".