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111331202112 = 26331316992917
BaseRepresentation
bin110011110101111011…
…0110101010001000000
3101122100212022001101000
41213223312311101000
53311001241431422
6123051142012000
711020614414114
oct1475366652100
9348325261330
10111331202112
1143240619a49
12196b0717000
13a66323b070
145561d07744
152d68deccac
hex19ebdb5440

111331202112 has 224 divisors, whose sum is σ = 352797872000. Its totient is φ = 34223855616.

The previous prime is 111331202077. The next prime is 111331202113. The reversal of 111331202112 is 211202133111.

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

It is not an unprimeable number, because it can be changed into a prime (111331202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38164878 + ... + 38167794.

It is an arithmetic number, because the mean of its divisors is an integer number (1574990500).

Almost surely, 2111331202112 is an apocalyptic number.

111331202112 is a gapful number since it is divisible by the number (12) 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 111331202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176398936000).

111331202112 is an abundant number, since it is smaller than the sum of its proper divisors (241466669888).

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

111331202112 is a wasteful number, since it uses less digits than its factorization.

111331202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111331202112 its reverse (211202133111), we get a palindrome (322533335223).

The spelling of 111331202112 in words is "one hundred eleven billion, three hundred thirty-one million, two hundred two thousand, one hundred twelve".