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111322147640 = 235115361139563
BaseRepresentation
bin110011110101101010…
…0010010101100111000
3101122100020021000222012
41213223110102230320
53310441432211030
6123050215545052
711020444433204
oct1475324225470
9348306230865
10111322147640
11432364a5210
12196a968b188
13a6613ba9a2
145560a2bb04
152d68210095
hex19eb512b38

111322147640 has 256 divisors, whose sum is σ = 285506726400. Its totient is φ = 38715955200.

The previous prime is 111322147639. The next prime is 111322147661. The reversal of 111322147640 is 46741223111.

It is a junction number, because it is equal to n+sod(n) for n = 111322147597 and 111322147606.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 197729999 + ... + 197730561.

It is an arithmetic number, because the mean of its divisors is an integer number (1115260650).

Almost surely, 2111322147640 is an apocalyptic number.

111322147640 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 111322147640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142753363200).

111322147640 is an abundant number, since it is smaller than the sum of its proper divisors (174184578760).

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

111322147640 is a wasteful number, since it uses less digits than its factorization.

111322147640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 111322147640 in words is "one hundred eleven billion, three hundred twenty-two million, one hundred forty-seven thousand, six hundred forty".