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110201202002320 = 245111319796417703
BaseRepresentation
bin11001000011101000110111…
…011111111100100110010000
3112110012010120020121111210221
4121003220313133330212100
5103421014030203033240
61030213422221002424
732132526342361522
oct3103506737744620
9473163506544727
10110201202002320
1132128081655540
12104398936b3414
134964c0c6362c0
141d2daa3913a12
15cb18bd46aa4a
hex643a377fc990

110201202002320 has 320 divisors, whose sum is σ = 320864663347200. Its totient is φ = 34600141854720.

The previous prime is 110201202002317. The next prime is 110201202002323. The reversal of 110201202002320 is 23200202102011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110201202002317) and next prime (110201202002323).

It is a super-2 number, since 2×1102012020023202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110201202002294 and 110201202002303.

It is not an unprimeable number, because it can be changed into a prime (110201202002323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13962589 + ... + 20380291.

It is an arithmetic number, because the mean of its divisors is an integer number (1002702072960).

Almost surely, 2110201202002320 is an apocalyptic number.

110201202002320 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 110201202002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160432331673600).

110201202002320 is an abundant number, since it is smaller than the sum of its proper divisors (210663461344880).

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

110201202002320 is a wasteful number, since it uses less digits than its factorization.

110201202002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417838 (or 6417832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110201202002320 its reverse (23200202102011), we get a palindrome (133401404104331).

The spelling of 110201202002320 in words is "one hundred ten trillion, two hundred one billion, two hundred two million, two thousand, three hundred twenty".