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110009999088 = 2432111931611933
BaseRepresentation
bin110011001110100011…
…0110101111011110000
3101111221210012222112200
41212131012311323300
53300300024432323
6122312104023200
710643102364213
oct1463506657360
9344853188480
10110009999088
114272285a620
12193a2161b00
13a4b25bb222
14547866777a
152cdce20443
hex199d1b5ef0

110009999088 has 480 divisors, whose sum is σ = 371120056320. Its totient is φ = 30046464000.

The previous prime is 110009999087. The next prime is 110009999093. The reversal of 110009999088 is 880999900011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110009999081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56910570 + ... + 56912502.

It is an arithmetic number, because the mean of its divisors is an integer number (773166784).

Almost surely, 2110009999088 is an apocalyptic number.

110009999088 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 110009999088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185560028160).

110009999088 is an abundant number, since it is smaller than the sum of its proper divisors (261110057232).

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

110009999088 is a wasteful number, since it uses less digits than its factorization.

110009999088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The spelling of 110009999088 in words is "one hundred ten billion, nine million, nine hundred ninety-nine thousand, eighty-eight".