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111132103320 = 233257372394987
BaseRepresentation
bin110011101111111111…
…1010101001010011000
3101121211222122210011200
41213133333111022120
53310044304301240
6123015310354200
711012646202140
oct1473777251230
9347758583150
10111132103320
11431491a2097
1219655abb960
13a630c0b024
1455436bb920
152d566c0930
hex19dffd5298

111132103320 has 384 divisors, whose sum is σ = 425791641600. Its totient is φ = 24606747648.

The previous prime is 111132103319. The next prime is 111132103331. The reversal of 111132103320 is 23301231111.

111132103320 is a `hidden beast` number, since 1 + 1 + 11 + 321 + 0 + 332 + 0 = 666.

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 = 111132103293 and 111132103302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22281867 + ... + 22286853.

It is an arithmetic number, because the mean of its divisors is an integer number (1108832400).

Almost surely, 2111132103320 is an apocalyptic number.

111132103320 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 111132103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212895820800).

111132103320 is an abundant number, since it is smaller than the sum of its proper divisors (314659538280).

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

111132103320 is a wasteful number, since it uses less digits than its factorization.

111132103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111132103320 its reverse (23301231111), we get a palindrome (134433334431).

The spelling of 111132103320 in words is "one hundred eleven billion, one hundred thirty-two million, one hundred three thousand, three hundred twenty".