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110013002000 = 245311192311443
BaseRepresentation
bin110011001110101001…
…0010011000100010000
3101111221222212112202122
41212131102103010100
53300301312031000
6122312252233412
710643140042106
oct1463522230420
9344858775678
10110013002000
1142724520770
12193a316b868
13a4b30cccb5
145478c09c76
152cdd315085
hex199d493110

110013002000 has 320 divisors, whose sum is σ = 318776739840. Its totient is φ = 36248256000.

The previous prime is 110013001999. The next prime is 110013002081. The reversal of 110013002000 is 200310011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9608279 + ... + 9619721.

It is an arithmetic number, because the mean of its divisors is an integer number (996177312).

Almost surely, 2110013002000 is an apocalyptic number.

110013002000 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 110013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159388369920).

110013002000 is an abundant number, since it is smaller than the sum of its proper divisors (208763737840).

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

110013002000 is a wasteful number, since it uses less digits than its factorization.

110013002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 110013002000 its reverse (200310011), we get a palindrome (110213312011).

The spelling of 110013002000 in words is "one hundred ten billion, thirteen million, two thousand".