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110201000000 = 26567213173
BaseRepresentation
bin110011010100001111…
…1011101000001000000
3101112110002121211112112
41212220133131001000
53301142424000000
6122343045514452
710650612021200
oct1465037350100
9345402554475
10110201000000
1142810656413
1219436112a28
13a513044410
145495b86400
152ceea9d235
hex19a87dd040

110201000000 has 588 divisors, whose sum is σ = 344413638324. Its totient is φ = 34675200000.

The previous prime is 110200999999. The next prime is 110201000009. The reversal of 110201000000 is 102011.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 94967516224 + 15233483776 = 308168^2 + 123424^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 636999914 + ... + 637000086.

Almost surely, 2110201000000 is an apocalyptic number.

110201000000 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 110201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172206819162).

110201000000 is an abundant number, since it is smaller than the sum of its proper divisors (234212638324).

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

110201000000 is an frugal number, since it uses more digits than its factorization.

110201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 110201000000 its reverse (102011), we get a palindrome (110201102011).

The spelling of 110201000000 in words is "one hundred ten billion, two hundred one million", and thus it is an aban number.