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110555107040 = 2557473895399
BaseRepresentation
bin110011011110110011…
…0010000111011100000
3101120100202221100002002
41212331212100323200
53302404101411130
6122442135343132
710662441622220
oct1467546207340
9346322840062
10110555107040
1142982526264
1219514821aa8
13a56b507b01
1454cac02080
152d20be8b45
hex19bd990ee0

110555107040 has 192 divisors, whose sum is σ = 305690112000. Its totient is φ = 36995905536.

The previous prime is 110555106989. The next prime is 110555107057. The reversal of 110555107040 is 40701555011.

It is a junction number, because it is equal to n+sod(n) for n = 110555106994 and 110555107012.

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 31 ways as a sum of consecutive naturals, for example, 20474261 + ... + 20479659.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136000).

Almost surely, 2110555107040 is an apocalyptic number.

110555107040 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 110555107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056000).

110555107040 is an abundant number, since it is smaller than the sum of its proper divisors (195135004960).

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

110555107040 is a wasteful number, since it uses less digits than its factorization.

110555107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 29.

The spelling of 110555107040 in words is "one hundred ten billion, five hundred fifty-five million, one hundred seven thousand, forty".