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110212020000 = 2532541736017
BaseRepresentation
bin110011010100100100…
…1011111011100100000
3101112110212100201010200
41212221021133130200
53301203234120000
6122344122025200
710651104466365
oct1465111373440
9345425321120
10110212020000
11428168a2955
1219439948200
13a515402324
14549741446c
152d00a28500
hex19a925f720

110212020000 has 360 divisors, whose sum is σ = 414693315036. Its totient is φ = 27660288000.

The previous prime is 110212019993. The next prime is 110212020013. The reversal of 110212020000 is 20212011.

It can be written as a sum of positive squares in 10 ways, for example, as 1762992144 + 108449027856 = 41988^2 + 329316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3041992 + ... + 3078008.

Almost surely, 2110212020000 is an apocalyptic number.

110212020000 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 110212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207346657518).

110212020000 is an abundant number, since it is smaller than the sum of its proper divisors (304481295036).

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

110212020000 is a wasteful number, since it uses less digits than its factorization.

110212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36070 (or 36044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110212020000 its reverse (20212011), we get a palindrome (110232232011).

The spelling of 110212020000 in words is "one hundred ten billion, two hundred twelve million, twenty thousand".