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101113222320 = 243351119972131
BaseRepresentation
bin101111000101011010…
…0010101010010110000
3100122222202100220012000
41132022310111102300
53124034441103240
6114241211134000
710206452131425
oct1361264252260
9318882326160
10101113222320
1139977861550
121771a744300
1396c533c886
144c72c41d4c
15296bd33430
hex178ad154b0

101113222320 has 320 divisors, whose sum is σ = 380309230080. Its totient is φ = 24488524800.

The previous prime is 101113222213. The next prime is 101113222321. The reversal of 101113222320 is 23222311101.

101113222320 is a `hidden beast` number, since 1 + 0 + 111 + 322 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101113222293 and 101113222302.

It is not an unprimeable number, because it can be changed into a prime (101113222321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47447655 + ... + 47449785.

It is an arithmetic number, because the mean of its divisors is an integer number (1188466344).

Almost surely, 2101113222320 is an apocalyptic number.

101113222320 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 101113222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190154615040).

101113222320 is an abundant number, since it is smaller than the sum of its proper divisors (279196007760).

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

101113222320 is a wasteful number, since it uses less digits than its factorization.

101113222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101113222320 its reverse (23222311101), we get a palindrome (124335533421).

The spelling of 101113222320 in words is "one hundred one billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".