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111003212320 = 25572112139001
BaseRepresentation
bin110011101100001001…
…1101001101000100000
3101121112000010102221221
41213120103221220200
53304313310243240
6122554424024424
711006522510500
oct1473023515040
9347460112857
10111003212320
1143092468400
121961a902114
13a6102c0270
145530529a00
152d4a210a4a
hex19d84e9a20

111003212320 has 432 divisors, whose sum is σ = 361148105304. Its totient is φ = 31933440000.

The previous prime is 111003212311. The next prime is 111003212339. The reversal of 111003212320 is 23212300111.

It can be written as a sum of positive squares in 4 ways, for example, as 50138375056 + 60864837264 = 223916^2 + 246708^2 .

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 = 111003212294 and 111003212303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12327820 + ... + 12336820.

Almost surely, 2111003212320 is an apocalyptic number.

111003212320 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 111003212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180574052652).

111003212320 is an abundant number, since it is smaller than the sum of its proper divisors (250144892984).

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

111003212320 is a wasteful number, since it uses less digits than its factorization.

111003212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 111003212320 its reverse (23212300111), we get a palindrome (134215512431).

It can be divided in two parts, 111003 and 212320, that added together give a palindrome (323323).

The spelling of 111003212320 in words is "one hundred eleven billion, three million, two hundred twelve thousand, three hundred twenty".