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109861300600128 = 26357113710723173
BaseRepresentation
bin11000111110101100010011…
…110010111111110101000000
3112101222122012221011020100000
4120332230103302333311000
5103344431420423201003
61025353330150200000
732066134305210420
oct3076542362776500
9471878187136300
10109861300600128
1132006a091241a0
12103a3a33353000
13493bb50cc764c
141d1b45b34c480
15ca7b27c9e1a3
hex63eb13cbfd40

109861300600128 has 1344 divisors, whose sum is σ = 422070202165248. Its totient is φ = 27503510446080.

The previous prime is 109861300600123. The next prime is 109861300600153. The reversal of 109861300600128 is 821006003168901.

109861300600128 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 6 + 1 + 30 + 0 + 600 + 1 + 2 + 8 = 666.

109861300600128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109861300600123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4740906750 + ... + 4740929922.

It is an arithmetic number, because the mean of its divisors is an integer number (314040328992).

Almost surely, 2109861300600128 is an apocalyptic number.

109861300600128 is a gapful number since it is divisible by the number (18) 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 109861300600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211035101082624).

109861300600128 is an abundant number, since it is smaller than the sum of its proper divisors (312208901565120).

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

109861300600128 is a wasteful number, since it uses less digits than its factorization.

109861300600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23362 (or 23340 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 109861300600128 in words is "one hundred nine trillion, eight hundred sixty-one billion, three hundred million, six hundred thousand, one hundred twenty-eight".