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111132031296 = 26311132503619
BaseRepresentation
bin110011101111111111…
…1000011100101000000
3101121211222112010101010
41213133333003211000
53310044300000141
6123015305040520
711012645452146
oct1473777034500
9347758463333
10111132031296
1143149152a70
1219655a86140
13a630bb4300
14554369d596
152d566a9416
hex19dffc3940

111132031296 has 336 divisors, whose sum is σ = 348592688640. Its totient is φ = 30973962240.

The previous prime is 111132031271. The next prime is 111132031331. The reversal of 111132031296 is 692130231111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179534475 + ... + 179535093.

It is an arithmetic number, because the mean of its divisors is an integer number (1037478240).

Almost surely, 2111132031296 is an apocalyptic number.

111132031296 is a gapful number since it is divisible by the number (16) 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 111132031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174296344320).

111132031296 is an abundant number, since it is smaller than the sum of its proper divisors (237460657344).

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

111132031296 is a wasteful number, since it uses less digits than its factorization.

111132031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 111132031296 in words is "one hundred eleven billion, one hundred thirty-two million, thirty-one thousand, two hundred ninety-six".